diff --git "a/data/dm_maths/full_data/10890_11255.jsonl" "b/data/dm_maths/full_data/10890_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10890_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the greatest common factor of 109202160 and 29200.\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48025, -46712, -45401, -44092?\nAnswer: -42785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -192*v*x**2 - 58*x**2 with respect to v.\nAnswer: -192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002579 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - w + 82284 = 0, -5*k = -25*w + 20*w - 68570. List the prime factors of k.\nAnswer: 2, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 41907*i**2 - 1341097*i\/4 - 377181.\nAnswer: (i - 9)*(i + 1)*(i + 167636)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13606618969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**5\/20 - 5*m**4\/24 - m**3\/3 + 10*m**2. Does 22 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -19 - (-1 - (1 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264005 and 27265.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -51*u**3 + 5*u**2 + 304*u + 2469. List the prime factors of g(-8).\nAnswer: 3, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = -5*m, -w - 2*w + 4*m - 5 = 0. Let h be (-2 + 1)*(1*-3)\/w. Suppose -2*g = h*p - 87, p - 4*p + 240 = 5*g. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzip when four letters picked without replacement from vzzppzzlzzpzi.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1726758\/(-2349))\/66 - (-10 - 1)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -190a + -5?\nAnswer: -1913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -325*b**3*n**2 - 281*b**2 + 2*b*n**2 wrt b.\nAnswer: -1950*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12593627.\nAnswer: 23, 29, 79, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -755*o - 92862. Calculate r(-123).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.063.\nAnswer: 0.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44746 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 - v + 3. Let x be o(3). Let s(w) = -w**2 - 12*w - 20. Let n be s(-8). What is the greatest common factor of x and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 475 or 417?\nAnswer: 417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2937311395?\nAnswer: 5, 23417, 25087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21\/2*h - 3\/4*h**2 - 147\/4 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13*8 + 0 + -1. Round z to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4573528 take away -1110?\nAnswer: 4574638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 236 - 230. Let g(c) = 186*c**2 + 35*c - 169. Is g(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c. Let x(s) = s**2 + 2003*s + 2. Give d(x(b)).\nAnswer: 4*b**2 + 8012*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1275*j**3 - 656*j**2 + 9202*j**3 + 656*j**2 + 9984*j**3.\nAnswer: 17911*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-10))\/(2 - (-12)\/(-8)). Suppose -3*m + 0*m - o*d = 3, 0 = m + 2*d + 4. Solve 3*q = 4*g + 25, -3*g - 3*q - m = 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 26*g - 24*g = 45 - 29, 3*g = 6 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 934*j**3 + 978*j**3 - 1863*j**3.\nAnswer: 49*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4422 divided by -201.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + -0.3. Let j = o + -1.57. Let n = -1.7968 - j. What is n rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391368.\nAnswer: 2, 3, 23, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231072?\nAnswer: 2, 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 0, 0 = -5*h + 4*j + 617 + 133. What is the hundreds digit of (342\/4)\/(15\/h) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53896 + 53952. Suppose -2*y + 220 = o, -3*y = -2*o - 8*y + 445. Calculate the lowest common multiple of o and h.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.7563715 rounded to 1 dp?\nAnswer: -14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47856*m**3 + 2*m**2 - m + 5640.\nAnswer: 287136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - c + c)*(-751 - 3*c + 491 + 4*c).\nAnswer: -c**3 + 260*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141 + 141 - 2140944*c.\nAnswer: -2140944*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2171 (base 8) to base 14\nAnswer: -5bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 4 - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201478.\nAnswer: 2, 131, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/(-511)*30\/(-1785)*7?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/14487?\nAnswer: -2\/14487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1158, 1100, 1036, 966?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.378 and -0.2.\nAnswer: -3.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595524 is divided by 389?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 1:20 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 112596 divided by -3?\nAnswer: -37532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myyllmlylylmy. What is prob of sequence yy?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1592 and 11829754?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3 + 13*q)*(-21*q + 21*q + 12*q**2)*(-2 + 0 - 1).\nAnswer: -468*q**3 - 72*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-105)*6)\/(10\/70). Let d = -205 - -206. Solve -4*f - t = 2*g, -5*f + d = 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 6*q = -3*g - 400, -8*g + 1931 = 5*q. What is the greatest common divisor of q and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180875, -361757, -542639, -723521, -904403?\nAnswer: -1085285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52 + 35\/5 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*s + 4*f, f - 1 = s - 2. Find the third derivative of -28*x**2 - 7*x**5 + 5*x**5 + 45*x**2 - x**2 + 2 + 15*x**s wrt x.\nAnswer: 1800*x**3 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 810\/4*(-12)\/(-9). What is v rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45, -90, -135, -180?\n\"Answer: -45*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 12:13 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 71. What is the common denominator of 67\/6 and (24\/(-16))\/(s\/(-158))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18441 + -0.04898. Let c = -2.13516 + i. Let f = -2 - c. What is f rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*(5 + sqrt(19) + sqrt(19)*2 + 3) - (6*sqrt(38)*-1)\/(2*sqrt(2)*-3)).\nAnswer: -19*sqrt(19) - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f - 2 + 4*f**2 + f**3 - 1 + 4 + 0*f**3. Let c be w(-5). Let l be (0 - -3)\/((-6)\/c). Solve 0 = 3*b + 2*r + 1 - 3, -30 = -5*b + l*r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 8. Let k(h) = 579*h**2 + 7*h - 68. Let c(m) = -a(m) - k(m). Find the second derivative of c(f) wrt f.\nAnswer: -1160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2855 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 10*a**2 + 7*a + 7. Let v(p) be the second derivative of p**4\/4 + p**3\/3 + p**2 + p. Give 4*h(t) - 14*v(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s - 6*s**2 + 1487 - 92*s**3 - 1489 + 7*s**2 as y*s + g*s**3 + j*s**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 452\/(-339) - (-1214)\/6. Which is bigger: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 8:57 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 531 - 517. Suppose 8*y - x = 6*y. Calculate the greatest common factor of 700 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10018, 10016, 10014, 10012?\n\"Answer: -2*i + 10020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 6:15 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 4*o + 9 = 0. Suppose -5 = -x + 4. Let a = x - 5. Solve a*y - 3 + 0 = -5*w, -o*y + 2*w - 15 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 6, 3, 30, 13, 2 in decreasing order.\nAnswer: 30, 13, 6, 3, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3872) - (sqrt(1152) + 1 + sqrt(1152)))**2.\nAnswer: 360*sqrt(2) + 64801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2785*h - 2748*h + 1362*h.\nAnswer: -4171*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*w = 59 - 73, j = 3*w - 6. Let r be j*((-3)\/(-5))\/((-40)\/(-200)). Calculate the highest common divisor of r and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h - 5*w + 20, 0 = -3*h + 2*w - 8. Suppose h*u + u - 39 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303232 - 22?\nAnswer: 303210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*g + 10 = -7*g, 0 = 4*d - 5*g - 20. Suppose -d*t = -2281 - 1569. What is t rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/9 (b) -16 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5 - 26*v**4 - 124*v**3 + 1468*v**2 + 4730*v - 6050 = 0.\nAnswer: -5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6. Let k = j + 4. Suppose 0 = k*a - a - 24. What is the remainder when a is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5785, -5698, -5659, -5668, -5725, -5830?\n\"Answer: -24*q**2 + 159*q - 5920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16462672, 16462669, 16462666?\nAnswer: 16462663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 n when three letters picked without replacement from nmmmmmnmmmmmmmmmmm.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2272 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (4 - (4 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88\/3*c - 30 + 2\/3*c**2.\nAnswer: 2*(c - 1)*(c + 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.158 times 284\nAnswer: -44.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 143.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/2 of a meter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -386*j - 392, -3*j = 2*x + 1390 - 1399 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a millennium in months?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.041 - 2.959. What is the second smallest value in 1\/7, i, 1, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1023*r**2 - 4. Let v(d) = 261888*d**2 + 1023. Calculate -1023*i(t) - 4*v(t).\nAnswer: -1023*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*l + 4 = -7*d + 5*d, 3 = d - 2*l for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - n = -0*c - 16, -4*c = -2*n - 16. Suppose w - 3*l = c, 5*w - 18 = 4*l + 56. Suppose -a - 8 = -w. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6368 + -4180. What are the prime factors of t?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -42 - (-14 + 450\/15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -186 times 20072\nAnswer: -3733392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -u + 2 - 11, 0 = 5*j + 2*u + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 + -52. Let b = a + -12. Solve b*w = 7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270961178 to the power of 1\/3, to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12821 + 961989353.\nAnswer: 962002174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 4, b: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -550\/8211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haaa when four letters picked without replacement from {a: 11, h: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 128912812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(-5 + -3*(4 + sqrt(500) + 1 + 3 + -1)))**2.\nAnswer: 25440*sqrt(5) + 83236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -30, 15, 1\/6, -0.7, 3\/7?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3)*-3 + -3. Let x be o\/(-3)*-3*-2. Find f, given that 9\/5*f**2 - f - 7\/5*f**x - 2\/5 + f**3 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 2*u - 84, 3*t + 8575 - 8479 = 3*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26784, 53550, 80298, 107028?\nAnswer: 133740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 34046973?\nAnswer: 5\/34046973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 2*h**2 - 3*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(0 - 11) + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**5\/60 - c**4\/24 + 25*c**3\/6 - c**2. Let a be r(0). Suppose z + 10 = -0*z + 4*f, a = 5*f. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 7\/3*v**3 + 1 + 1\/3*v - 11\/3*v**2 = 0.\nAnswer: -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 19c09bb?\nAnswer: -19c09b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/15 - 2*w**4\/15 + 44*w**3\/15 - 4*w**2\/15 - 46*w\/5 - 6 = 0. Calculate w.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.030032 - -0.696102. What is l rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246973206.74 rounded to the nearest one hundred thousand?\nAnswer: 247000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 3 + -11 - (69 - (11 + 7))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -51037.3 to the nearest 100.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -61*x**2\/2 - 5450. Let n(u) be the first derivative of 2*u**3\/3 + 2. Determine r(n(q)).\nAnswer: -122*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 4. Let u be p(0). What is the tens digit of -1 + u + (-30)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 25*(-10 + 7)\/(30\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {l: 2, v: 1, i: 3, f: 3, y: 4, a: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/20638319 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(14)\/(sqrt(7) - (sqrt(7) - 1*sqrt(7))))**2 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -4\/5 (c) 2.93 (d) 5 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2533 is divided by 280.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383614743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 10*m**2 + 10*m - 3. Let n be g(4). What is the third biggest value in n, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*l + 17302292 + 2972789 + 9814385. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*d = 492 - 1563 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 128*-1380.38\nAnswer: -176688.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4094251 centuries to months.\nAnswer: 491.31012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3373 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 13*i**2 + 26*i - 23. Let r be o(11). Suppose 3*d + 47 = -2*m, -3*m - 2*d = d + 69. Let x = m + r. Which is bigger: x or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -89*z - 5. Let t be v(1). Let c = 100 + t. What is the greatest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 962 = 2*s - 304, 5*r - 5*s - 655 = 0. Let t = r + 33. Calculate the highest common factor of 110 and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.6 * -3\nAnswer: -31.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 10:57 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 0.046135?\nAnswer: -0.0322945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*r - 15*r + 0 + 0 + 9 to i + k*r and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**2 + d + 7. Let f(z) = 6*z**2 - 2*z - 8. Let o(x) = 4*f(x) + 5*i(x). Let u be o(-4). What is the units digit of (u - (0 + -1)) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-6))**(-15)\/(u**(-13)\/(u**(-5\/9)\/u)))**7 assuming u is positive.\nAnswer: u**(6391\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-239382.\nAnswer: -478764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 259\/55 + -8177\/1650. Calculate the common denominator of 101\/18 and q.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69558 or -71646?\nAnswer: -69558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.643 - -0.357. Is g less than -2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/10, -3, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4505 (base 10) to base 3.\nAnswer: 20011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*145.\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 - 2*n - 9 + 4*n + 2*n**4 + 11 - 2*n**2 in the form b*n**3 + s*n**4 + r + f*n + z*n**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 0.3, 161551 in ascending order.\nAnswer: 0.3, 1.3, 161551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-2\/5)\/(q**(5\/6)*q**(-1\/4)\/q) assuming q is positive.\nAnswer: q**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/49))\/(q\/(q\/(q*q\/(q\/(q\/q**(-1)))))))\/(q**(-25)*q\/(q\/(q\/((q*q\/(q*(q\/(q\/(q*q\/((q\/(q*q\/(q**(-1\/4)\/q)))\/q))))\/q))\/q)))) assuming q is positive.\nAnswer: q**(3487\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(3 - (-44)\/(-16)). Let d = g - 24. Suppose 5*x - 127 = -4*r, -5*r - 3*x + 162 = -d*x. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-1\/7)))\/((w*w**3\/w*w)\/w))**(10\/11)*(w**(-3\/7)*w**(-2\/13))**(12\/7) assuming w is positive.\nAnswer: w**(-25196\/7007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, b: 1}. Give prob of picking 1 b and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 2:44 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-60))\/(411\/1096)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3430.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - (71 + -70)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 1 - j + 1. Let y be d(2). Let z = 3 - y. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -10*i. Suppose q = -i*q. Solve 3*l + 5*r + 12 = -q*r, r = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839051 is divided by 279526.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(78) + sqrt(78)*-1)\/sqrt(6) + -4 + sqrt(208) + -2)*4.\nAnswer: -4 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 - 28*h - 31*h**3 + 16 + 30*h**3 - 23*h**2. What are the prime factors of k(-20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 4*n + 1640 = -2*o, 6 = 3*n. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146.9 - 147.2. Let u = -11 - 39. Let q = -162 - -1460\/9. Put u, q, h in increasing order.\nAnswer: u, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(1 - a - 1) + 7*a + 5*a + 21*a.\nAnswer: 31*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/2, 5571, -3, -0.5.\nAnswer: -3, -0.5, 1\/2, 4, 5571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 - (-8015)\/(-6))*((-108)\/12 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -15. Suppose -2*s + 8*f = 13*f + 3, 4*s = f - 17. What is the remainder when 25 is divided by s - (-5)\/(q\/(-42))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 654187395 to the nearest one hundred thousand.\nAnswer: 654200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 3*m**2 - 212. Let h(c) = 5*c**3 - 7*c**2 - 424. Calculate -7*g(z) + 3*h(z).\nAnswer: z**3 + 212","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55064 - 7.7483265.\nAnswer: 55056.2516735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-2)*(-192)\/18. Let y be (3 + 0)\/((-24)\/p). Suppose 0 = -2*t + 7*t - 4*w - 17, -t - y*w = -13. Solve 5*b - a - 23 = a, -5*a - 5 = t*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(448) + -3*sqrt(448) + 4)*-3)**2.\nAnswer: -288*sqrt(7) + 16137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 8:34 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 6*c - 2. Determine r(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2031 - 1346. Suppose 0 = 7*g - r - 22. Suppose -2*k + g = 31. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 889 * 263\nAnswer: 233807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 3. Let t(a) be the second derivative of 1\/2*a**2 - 4*a + 0. Let j be (-4 - 0)*6\/8. What is j*t(y) - d(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -111. Suppose 3*r = -25 + p. Let w(h) = 839 - r*h - 839. Let x(o) = 5*o. Calculate x(w(l)).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 95?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 u, and 2 d when four letters picked without replacement from pxwwwxxdpdupwwxx.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Suppose v - 66 = -4*l, -u*v = -v - l - 87. Suppose b = 3*f + v, b - 49 = -4*f - 10. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4172 divided by -1601.\nAnswer: -4172\/1601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 0 - 1\/6*x**3 - 21\/2*x**2 - 2*x - 1\/240*x**5 + 1\/24*x**4. Let q(m) be the first derivative of z(m). Factor q(w).\nAnswer: -(w - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*b + 16357, -16342 = 132*x - 133*x + b. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1325, -2647, -3969, -5291, -6613, -7935?\nAnswer: -9257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-234)\/(-3) + (6 - 1). Let t = 102 - i. Suppose -77 = -3*f - 20. What is the greatest common divisor of f and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -133, -131, -129, -127, -125, -123?\n\"Answer: 2*f - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5655109ug in grams?\nAnswer: 0.0000005655109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-10)\/w**(-2)*(w**2)**(-7) assuming w is positive.\nAnswer: w**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10137 and 558.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 17, r: 3}. What is prob of picking 3 r?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -1\/84*a**4 + 0 + 0*a**3 + a + 0*a**2. Factor t(v).\nAnswer: -v**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)\/(x\/(x**(-2)\/x*x)))\/(x*((x\/(x**(2\/7)\/x)*x)\/x)\/x*x)**(2\/69)*(x*x*x**(-1)*x*x)\/(x*x**2)*x**(-4)*x*x*x*x**(2\/15)*x*x*x*x assuming x is positive.\nAnswer: x**(366\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/120 - p**5\/15 - p**4\/12 + p**3 - 179*p**2. Let u be n(-3). Solve 12*j = 9 + u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -271 + 264. Let q(a) = a**3 + 10*a**2 + 20*a + 10. Let v be q(c). Solve 4*x + 1 - v = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3. Suppose l = 4*j - 1321 + 457. Let v = -62 - -86. What is the highest common factor of v and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w**3 - 7*w**2 + 121*w - 670. Give c(5).\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4135, -4115, -4093, -4069, -4043, -4015?\n\"Answer: f**2 + 17*f - 4153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Suppose 5*h = -5*s - 135, -4*s - l*h = -9*s - 135. What is the units digit of s\/6*(-6)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.158816 days in hours?\nAnswer: 147.811584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 257913*n**2 + 19*n + 33516437?\nAnswer: 515826*n + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16281 + 16286. Which is the smallest value? (a) 6 (b) -2\/3 (c) 4 (d) -2 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 6 = 5*p, 3*n - p = 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 1058*n**4\/5 + 1196*n**3 - 5718*n**2\/5 - 18144*n\/5 + 17496\/5 = 0?\nAnswer: -6, -2, 27\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -26*r**3 - 4*r**2 - 5*r - 4. Let c be g(-6). Let p be c\/4*(-118 + 2). Let k = p + 909442. What is k rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -315 - -317. Let x(w) = w. Suppose -7*u + 74 - 67 = 0. Let z(c) = 8 - 2 - 3*c - 2. What is d*x(h) + u*z(h)?\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*b**2 - 24*b - 120 - 2\/9*b**4 + 8\/9*b**3 = 0. What is b?\nAnswer: -5, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 19. Suppose r*a - 15 = 50. Solve -4*d - 2 = -3*j + 3, 3*j + 13 = -a*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**(3\/7)*(d\/(d**(-8)*d))\/((d*d**1*d*d)\/d)*(d**(-2\/25)\/d**9)**(8\/11) assuming d is positive.\nAnswer: d**(-13173\/7700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 less than 67?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 46*b**2 - 331*b + 22. What is j(-37)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -40. Let o(m) = m - 4. Is o(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.98118506 to 2 decimal places.\nAnswer: -43.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 - 5374*k**2 - 5374*k**2 + 16018*k**2 - 5270*k**2.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m + 2 = 2*s, 2*s = 4*m - 22. Suppose -m*d - 4*k = 2*d + 4, -k - 1 = 4*d. Solve d*w - 8 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -213 - -247. Suppose -n*m + 58 = -33*m. What is the remainder when m is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*j**3 + 131*j**3 + 124*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - (-2 + 1 + -1) - 0. Suppose -2*q + 4*q = 5*z - 290, 5*z - 4*q = 290. Let y = z - o. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o + 1634 = -4*r, -5*r = -2*o + 657. What are the prime factors of o?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 9. Calculate the highest common factor of b and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u + 6*u = 13122. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1217 by 13.\nAnswer: 1217\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*w**2 - 13\/2*w + 7\/2*w**4 - 9*w**3 + 3\/2 - 1\/2*w**5 = 0. What is w?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/16 and -10\/25383.\nAnswer: 406128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -cb6 (base 14) in base 12?\nAnswer: -1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177475088 a multiple of 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -16*d**2 - d. Let w be s(-1). Let n be -1 + 2 + 1 + 0 - 21. Let m = w - n. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 988 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 5:37 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -6*r**5\/5 - 15*r**4\/4 - 4*r**3 - 3*r**2\/2 + 96. Factor h(s).\nAnswer: -3*s*(s + 1)**2*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 864308626*o - 302948567.\nAnswer: 864308626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*a + 3*n - 30, 5*n = a + 20. Let b be 6*(a - 55\/10). Find the common denominator of -13\/8 and (b - 47)\/((-48)\/9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 824*k**3*m*q + 4296*k**3*m - k**3*q - 142*k**2*q + 2*k*m*q - 28*m*q - 282*q wrt k?\nAnswer: 4944*m*q + 25776*m - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/10)\/(3\/(-2))*1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*d**2 - 257548*d + 41194886 wrt d?\nAnswer: 20*d - 257548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -146, -231, -320, -413, -510?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -3\/2, 2\/13?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*c - 5*v + 3*v, 0 = 3*c + 4*v + 21. Let i(h) = -2*h**3. Let y(o) = -15*o**2 + 15*o**2 + 2*o**3. What is c*i(w) - 4*y(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81612405*s**4 - 133636645.\nAnswer: -326449620*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, -13, -32, -59, -94, -137, -188?\n\"Answer: -4*n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*t - 8 = 0, t - 8 - 4 = -3*i. Is ((-52)\/3)\/(i\/(-12)) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*x = 6, 6*x - 2*x + 3 = s. Suppose -10*i = -s*i - 49. Solve -4*u = 4*c, 3*u + i*c = 3*c - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4\/8 - z**3\/4 + z\/4 + 1\/8 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30965729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 2*y + 3 + 0*y. Let l = -46 - -41. Let n(b) = -7*b - 2. Let o(m) = 8*m + 3. Let u(p) = l*n(p) - 4*o(p). Determine 2*c(d) + 3*u(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (210\/(-315))\/((-2)\/3789) is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*i - 120*i - 135*i - 112*i - 116*i + 602*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27016?\nAnswer: 2, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259424469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - s**4 + 2*s**4 + (-2*s + 3*s - 2*s)*(0*s**2 - 2*s**3 + 0*s**2) - 4*s**4 + 7*s**4 - 2*s**4 + 4*s**4 - 8*s**4 - 10*s**4.\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3))**3*k*k**(-2\/7)*k**(2\/17)\/k*k*k*(k**0*k)**(-2\/53)*(((k\/(k**(1\/4)\/k))\/k)\/k)**(-2\/25) assuming k is positive.\nAnswer: k**(1202807\/315350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-3) - 2\/6. Suppose y*r = 8*r - 27. Let j be 11\/2 - 10\/20. Solve j*t - r = 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -134330242444?\nAnswer: 134330242430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-128)\/(-44) + -3 + (-3)\/(-33). Let g(k) = k**3 - 10*k**2 + 2. Give g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/21)\/(20\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3421*w - 1652*w + 192774 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5038, 5003, 4968, 4933, 4898, 4863?\nAnswer: 4828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/(-1155)*12\/4*40\/(-16).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 321848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + -5 + sqrt(243)*3.\nAnswer: -5 + 29*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 275904 or 6897564\/25?\nAnswer: 275904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -13. Let z = -13 - -47. Suppose -5*h - 4 + z = q. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -2)\/40 + 26\/(-48).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 5 (b) -0.02 (c) -6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*u + 2*u + 28. Suppose 2*v - 3*q = 4*v + 16, 32 = -4*v - 5*q. Put u, 3, v in decreasing order.\nAnswer: u, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 38. Let p(j) = -351 + 2*j + 351. Calculate p(n(w)).\nAnswer: 4*w - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1434*y + 334128. What is q(-233)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13482, -13493, -13512, -13539, -13574, -13617, -13668?\nAnswer: -13727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -84*a + 272. Let y(x) = -2*x - 5. Let v be y(-4). Suppose 4*r - v*r + 24 = 3*p, 4*r - 32 = -4*p. What is the remainder when q(3) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 2450?\nAnswer: -2449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*i**2 + 766*i**2 - 384*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (7707*m**2 - 1558 + 1558 - 787*m**2)*(-1 + 2 - 3) as g + r*m**2 + d*m and give r.\nAnswer: -13840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4\/24)\/(6\/(-2220))*-18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.0059.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/15)\/(-7)*(-2 + (-65)\/(-20)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 640 + 7. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*c = 4999 - 327 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 107*q**3 - 481*q**3 - 47*q**3 to the form s*q + k*q**2 + i*q**3 + g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70012*n**2*x**3 - 458218*n**2*x - 13*n**2 + 10*x**4 wrt x.\nAnswer: -420072*n**2*x + 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(35\/10)\/(-7). Suppose -19*v + 18*v + 39 = y. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 44107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/54*(-12)\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -508 + 511. Solve 2*s + z*j = 2, 0 = 3*s - 6*s + j + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 5:21 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*c - 2*n = 258*c + 317*c - 6, 39*c - 163 = n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 124 + 45 - 234 + y as b*y + k and give k.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 2*c**2 + 9*c + 4. Let a be k(-4). Suppose -5*b + 0 + 20 = 0. Suppose a*o - o + 1 = -n, -3*n + b*o = 2. Is n < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14 + 7 - 4*d**3 - 22 wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 33, 39, 27, -9, -75, -177?\n\"Answer: -a**3 + 25*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140 - -100. Let m(f) = -f + 4. Let x be m(4). Let b be (x + 267000)*n\/(-6). What is b rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 less than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449291764.\nAnswer: 2, 112322941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 568*z - 10948.\nAnswer: -4*(z + 23)*(z + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-16)\/(-52))*16. Suppose -s = -2*r - 56. What are the prime factors of (3 - r) + (134 - 8)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 138*d + 397*d - 188*d + 454*d + 254*d.\nAnswer: 1055*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -17*x**3 + x**2 + 2*x + 3. What is the remainder when l(-2) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Let a(b) = 2*b - 1. Let p be a(s). Suppose 5*j = -25, 32 = 5*m - p*j + 7. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a factor of 876293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/13)*v*v*v*v**1*v*v*v**(-1\/4)\/((v**(-1)\/v)\/v)*(v**(-6)*v*v**(-3\/4)\/v)**(1\/18) assuming v is positive.\nAnswer: v**(887\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + 15. Let u = -82 + i. Suppose u*g - 4*g - 850 = 0. What is g rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 295.30221 and -8459763?\nAnswer: 8460058.30221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*i**4 - 54*i**4 - 8*i**3 - 54*i**4 - i**2 - 53*i**4 - 2*i + 1 + 209*i**4 as l*i**4 + h*i**2 + t + s*i + m*i**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 360905 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329819, -659639, -989459, -1319279, -1649099, -1978919?\nAnswer: -2308739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7293346 or -7293343?\nAnswer: -7293343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-10)\/(-225)*1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60612512*k**4 - 34135947 with respect to k.\nAnswer: 242450048*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/31? (a) 3 (b) -3\/7 (c) 2\/3 (d) 89\/36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s + 26*s - 3 = -3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*b - 1920, -3*b - 870 = -3*r + 570. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -41*x - 1050, 1159*h = 1156*h + x + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 403.65 + -403.52. Which is the nearest to v? (a) -2\/13 (b) -1\/3 (c) -5 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 19*w - 813. Let f be q(21). Solve -f = 5*m - 17 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 863 + -951.8. Let h = y + 89. Put 0, 0.5, -1, h in increasing order.\nAnswer: -1, 0, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249086 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19293 to 3 decimal places.\nAnswer: 0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 + 4. Let o be (d\/(-9))\/((-2)\/(-3)). Does 9 divide -1 - (-1 + 0)*o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -825 < -838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -15*u**3\/4 + 205*u**2\/2 - 840*u + 1800 = 0?\nAnswer: 10\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28492 + 207478*z**3 - 207536*z**3 + 28492.\nAnswer: -58*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4642 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 1353?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -763 + 34*y + 756 - 15*y. Let l(v) = -10*v + 4. Calculate 6*j(g) + 10*l(g).\nAnswer: 14*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 379 in 1\/60, 1, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04198, 0, 2490, -0.1?\nAnswer: 2490","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39094*z**5 + 23845*z.\nAnswer: -781880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**1*p))**(-2\/25)*(p\/(p**(-4)*p))\/p**4*(p**(-5)*p**2)\/((p\/(p\/p**(-5)))\/(p*p\/(p\/(p*p*p*p**9*p)*p))) assuming p is positive.\nAnswer: p**(377\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -657.01 + 81.11. Let j = -547 - t. What is j rounded to zero dps?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 1136.\nAnswer: -1139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 513 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2898209.55 to the nearest one hundred.\nAnswer: -2898200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 851 = 859 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 344 (base 10) to base 12\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c3a0a (base 13) to base 5.\nAnswer: 234443414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 21*q**3 - 25908*q**2 + 401844*q + 116928 = 0?\nAnswer: -2\/7, 16, 1218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17, -3, 59, 193, 423, 773, 1267, 1929?\n\"Answer: 4*j**3 - 14*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + u + 3)*(1 - 4 + 2)*(0*u - u + 0*u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-77))\/(((-72)\/3300)\/(-3))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9 = 1. Suppose y*q = -q. Solve 0 = -q*c + 4*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154 + 157 + 192 - 136 - 1238*m wrt m.\nAnswer: -1238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -10. Let g = 0.2 + -0.6. Let z = g - -0.3. What is the second smallest value in b, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985710 a multiple of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -318 divided by 2\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/220 and 119\/1170.\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660*q**5 + 287755*q**4 + 2802160*q**3 - 3114005*q**2 + 23430*q = 0. What is q?\nAnswer: -426, -11, 0, 1\/132, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o**3 - 6*o**2 - 3*o - 5. Suppose 2*u = -8 - 4. Let k be c(u). Suppose 3*b + 2*j = k, -5*b = -3*j - 3361 + 453. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/5)\/((-2)\/10). Let u be (15\/9)\/(8\/(-24)). Is u at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*-1548864\nAnswer: 18586368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 241320 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r. Let p(b) = 4*b**2 + 8. Let u(t) = -1. Let d(n) = p(n) + 8*u(n). Give d(s(v)).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l - 196. Let c be k(-38). Solve 3*v + c = 67 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 106 = -5*b, -5*b + 6*b + 2*r = 23. Suppose -v = -2*c - 10, b = 4*v - 2*c - 13. Solve 8 = -0*h + v*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 447, 425, 397, 369, 347, 337?\n\"Answer: g**3 - 9*g**2 - 2*g + 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12711542 and 4?\nAnswer: 25423084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**3 + 5*w**3 - 16*w**3 - 27*w**2 + 54*w.\nAnswer: -2*w**3 - 27*w**2 + 54*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1190762 (base 10) to base 11.\nAnswer: -743701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-317)\/(-951)*(-21)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1629655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/7)*w)\/w**(-6\/7)*w*w*w**23*w**(-2\/7))**(3\/5) assuming w is positive.\nAnswer: w**(576\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -54?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 56. Suppose -s = -4*p + p. Suppose -p*d = -8*d + 6. Solve -3*k - o - 1 = -d*k, -3*k + 16 = 2*o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 1:41 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 20.103 and -0.27.\nAnswer: 19.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 1:35 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105953?\nAnswer: 105953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 8) to base 9.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-32)*-1*8\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 132*l**2 + 35*l - 185. What are the prime factors of u(5)?\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173.337 + 174. What is d rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 6:36 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/(-18) - 7 - (-1)\/2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 126748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 6*x**2 + 2*x + 4. Let z be o(-6). Let m be z\/(-20) - 32\/5. Let p be ((-30)\/(-8))\/(m\/(-96)). Round p to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 4:27 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(57)\/sqrt(3) - sqrt(133)\/sqrt(112)) + sqrt(1216) + sqrt(1216) + sqrt(1216) + 1 + 1)**2.\nAnswer: 119*sqrt(19) + 269123\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 2*f + 4*f + 3*f - 6*f - f + (0 + 5 + 4)*(-2*f - 3 + 3) + (5 + 0 + 0)*(3*f + 5*f - 4*f) to the form n*f + i and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(104)\/(sqrt(32)\/sqrt(4)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -4698?\nAnswer: 1879.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38739*a - 38734*a + 3*m + 50, 6*a - 5*m = 7*a + 98 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*i + 2*w = -293*i + 62, 93*i + 224 = -4*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17085 - -17085. Solve 0 = 39*j - 78 - g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((27\/(-162))\/((-2)\/12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -476244 (base 8) to base 5\nAnswer: -20203410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 84 = -2*g. Let i(z) = 3*z**3 + 11*z**2 - 19*z - 52. Let a be i(-3). Let p = g - a. Solve f + 3*k = -k + 17, 0 = 5*f - p*k + 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 88. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -3. Suppose -4*f + 20 = -4*a, 0*a - 8 = -f + 4*a. What is the smallest common multiple of -1*(u + 1) - -5 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138929\/10 or 13894?\nAnswer: 138929\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096532.\nAnswer: 2, 31, 37, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 2205?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -306 + 310. Suppose -r + 1816 = i*r + 2*p, 5*p = 3*r - 1102. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 = -a. Suppose -2*g + 2*c - 18 = -2*c, -5*g = a*c + 21. Let z = g + 8. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, d: 4, y: 2, s: 1}. Give prob of sequence dcds.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**2*t**3*u + 12*f**2*t*u - 5*f*t + 7*t**3*u - 2*t**3 + 3*t**2*u wrt f?\nAnswer: -8*t**3*u + 24*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/12 and 34\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/5)*t**(-2)\/t)\/(((t\/t**(3\/4))\/t*t)\/t*t*t**(-5)*t))\/((t*((t*t**1\/t*t)\/t*t)\/t)\/t**(-3))**36 assuming t is positive.\nAnswer: t**(-3581\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 14*d - 9. Suppose -2*y - 4*q = 14, 3*y + 4*q + 43 - 18 = 0. Let g be i(y). Let r = -7 + g. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 2 - 2)*(5*i**2 - 2*i**2 - 4*i**2).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61054662 to the nearest integer?\nAnswer: 7814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3022 by 2693.\nAnswer: -3022\/2693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1910 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56c1 + 57ed?\nAnswer: aeae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8.1. Let d = 23.41 + -23.71. Which is the nearest to -0.06? (a) l (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1472, 11631, 39204, 92897, 181416, 313467, 497756, 742989?\nAnswer: 1057872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00580113 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 143434 (base 6) in base 13?\nAnswer: 6367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**4 + 1024*p**3 - 55*p**2 + 141*p wrt p?\nAnswer: 120*p + 6144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192736 or 192737?\nAnswer: 192736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*a + 531 = -310 + 88. Sort -62, a, -46 in ascending order.\nAnswer: -62, -46, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(90) + sqrt(3) - (5 + 1 + sqrt(3) + sqrt(3)))**2 - 6*(-2 + sqrt(48)).\nAnswer: -16*sqrt(3) + 148\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - j - 18*j + j + 14*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.22223 - -2.\nAnswer: -12.22223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215 - 414. Let q = z - -198.9999953. Round q to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -116*v**4 + 24*v**3 + 8*v**2 - 116*v + 8. Let w(u) = -3*u**3 - u**2 - 1. Let s(c) = -b(c) - 8*w(c). What is the second derivative of s(l) wrt l?\nAnswer: 1392*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*v + 0 = 4, 0 = 4*t + 2*v + 4. Suppose t = -5*d + 4*d + 3. What is the highest common divisor of d and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p - 12. Let n be 1\/p + (-2278)\/(-51). What is the greatest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(72) - sqrt(72)*1) + 0)*4)**2 - (((sqrt(72) + (1 + sqrt(72))*-6)**2 - sqrt(72)) + sqrt(72) + 1 + 0).\nAnswer: -1821 - 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 11:34 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -399, 0.37?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -7. Let z = 1.2 + o. Which is smaller: z or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3 = -n. Let u = 6 - n. Suppose 0 = -x - 5*d + 14, u*x - d - 14 = -x. Sort -2, x, 5 in ascending order.\nAnswer: -2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4213784 to the power of 1\/2, to the nearest integer?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/3 + 30490*r**2\/3 - 1943038*r\/3 - 1973530\/3 = 0. What is r?\nAnswer: -1, 65, 15181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3 - 3)*(-14 - 81*o - 25*o + 11).\nAnswer: 106*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyi when three letters picked without replacement from riycyyiy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 1. Let o be k(-3). Let d = 6 + o. Suppose 0 = -d*c - c + 6. Solve 5*n = -8 - c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u + 125. Let v(s) = 7*s + 251. Calculate 5*h(z) - 2*v(z).\nAnswer: z + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/35 + (0 - 94\/(-7)). Let d = -44.8 + 45. Which is the closest to w? (a) 0.5 (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + 17. Let r = i + -25. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(104)\/sqrt(8)*1.\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1870, -4800, -7732, -10666, -13602, -16540?\nAnswer: -19480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2414 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2\/8 - 831*w\/8 - 3861\/4 = 0.\nAnswer: -9, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**3\/3 - 2*n**2 - 5*n - 2. Let d be q(-6). Calculate the highest common factor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.93 - 0.07. Let q = -5 - l. Which is the biggest value? (a) 1\/4 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5800 is divided by 77.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 219 = -299. Suppose -o*j + 378 = -j. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14100 is divided by 490.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, 1\/6, -3, -24 in decreasing order.\nAnswer: 1\/6, -8\/3, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-282)\/(-423))\/((-8)\/(-15)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 59*g**7\/42 + 361*g**4\/12 + 101*g + 1. What is the third derivative of l(n) wrt n?\nAnswer: 3540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9355 + -2.9354942626. Round r to 7 decimal places.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16036 take away 200.816845?\nAnswer: 15835.183155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 233163*o - 2*o**4 + 65*o**2 - 2855*o**6 + 371*o**6 - 233164*o + 2*o**4 wrt o.\nAnswer: -298080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15)\/(30\/90)*-11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3247, 7723, 15199, 25675?\n\"Answer: 1500*y**2 - 24*y + 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6773\/6 + -1129. Sort 0, -2\/3, j, 27 in ascending order.\nAnswer: -2\/3, j, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**3\/3 + 33*o**2\/2 - 13*o + 70. What are the prime factors of m(8)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m + 193 = 23. Does 4 divide 140 - (0\/(-6) + 4 - m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 4*l. Suppose 0 = x - l - 2. Suppose -u = -y + 1 + 9, -4*y = x*u - 10. Let g(v) = -v + 3. Determine g(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 148, 145, 140?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-4*f - 3*f + 5*f) - f - 2*f + 2*f + 2*f - 2 + 2 - 5 + 73 + f - 21 - 9*f.\nAnswer: -3*f + 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -668?\nAnswer: -3\/668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 54 = i. Let g be i\/(-81) + 43\/9. Solve -g*q - 4*n + 4 = 0, -5*q - 5*n - 1 = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -10 + 6, -4*m + 4 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -57\/19354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 5*j + 2*j + 3 - 4*j**2 + 15*j**2. Let d be b(3). Calculate the highest common factor of d and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 12*d + 24. Let o be x(-13). Solve -203 = -40*i + o*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -1050, -2057, -3478, -5319, -7586, -10285, -13422?\nAnswer: -17003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -5*n**4\/2 - n + 64. Let g(x) be the second derivative of 0 + 0*x**2 + 1\/3*x**3 + 2*x. Calculate g(l(q)).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008 divided by -796?\nAnswer: -252\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:09 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -34*l. Let i(w) = -7*w - 54. Let v be i(-4). Let d(z) = -4*z + 39. Let m(u) = u - 9. Let n(g) = v*m(g) - 6*d(g). Calculate n(c(s)).\nAnswer: 68*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366*h - 6630 = -444*h. Which is smaller: 345\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -37*a**2. Let y(k) = -17*k - 15. Let w(v) = -2*v - 3. Let o(u) = -5*w(u) + y(u). Determine h(o(l)).\nAnswer: -1813*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6)*6\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 11) to base 8\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 1 - 5 + 26*t**2 + 2*t**4 to the form p + n*t**3 + x*t**2 + f*t**4 + s*t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1396 - -5.1396. Let n be 52\/3 - (-4)\/6. Let g be (2\/n)\/(4\/6). What is the biggest value in q, g, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 2*c**2 - 4*c + 3. Let t be q(3). Do t and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -9\/2*x**2 - x + 2 + 17\/4*x**3 + 7\/40*x**5 + 5\/3*x**4. Determine w, given that q(w) = 0.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -897*c - 213440 = -4232*c for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148482 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = b - 1818, -2*b + 2712 = 2*t - 912. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3401945.\nAnswer: 5, 43, 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 6:27 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138643*i + 4106155*i + 3172536*i + 755165*i.\nAnswer: 7895213*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -98916995100 rounded to the nearest one million?\nAnswer: -98917000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 4. Let r(x) be the third derivative of 0 - 1\/3*x**3 - 1\/24*x**4 - 2*x**2 + 0*x. Determine -2*j(a) + 5*r(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 17088*n + 78. What is u(0)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/165 (b) -2 (c) 4.6 (d) 0 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 1457 - (-1 - -1). Let j = -5009 - -7096. Let d = j + i. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0158931 and -0.5.\nAnswer: -0.5158931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (796 - 796 - 350*m**2 + m)*(-m**2 - 2*m**2 + 0*m**2).\nAnswer: 1050*m**4 - 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - -7) + (-20)\/1. Let k(n) = 2*n**3 + 4*n**2 - 3*n - 2. Let r be k(1). Sort r, -1, t in descending order.\nAnswer: r, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3564*r - 456*r + 196*r.\nAnswer: 3304*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 - 23*b + 20. Let q(n) = -2*n**2 - 15*n + 13. Let m(t) = 5*p(t) - 7*q(t). Let g be m(-11). What is the units digit of (-3 - -13)*(-1)\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 22*m - 136. Give t(0).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 - -105. Solve 0 = r*f - 7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 567 + 0.127\nAnswer: 567.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3389.5? (a) 9 (b) 3 (c) -1\/5 (d) 0 (e) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70084 is divided by 70066.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -10 + (4 - (-1 + 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7864291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268721 (base 10) to base 13.\nAnswer: 9540b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924753 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 12 = -4. Suppose 3*j + 167 = 2*m - 0*j, 4*j + 328 = k*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 1789972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - 204\/(-8). Suppose 2*i - w = -y, -y = -i - 2*i + 29. Find the third derivative of -11*v + 2*v**2 + i*v + v**6 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*v = -86*v - 54. Find the second derivative of 191*q**2 + v + q + 0*q + 1 + 11*q wrt q.\nAnswer: 382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-55)*40\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3010 + -6855. Let h = -2118 - c. What are the prime factors of h?\nAnswer: 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -74273*f + 817001. Calculate g(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -349*a**3*h - 2*a**3 + 12*a**2 - 23*h wrt a.\nAnswer: -2094*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0391829 less than 1998.8?\nAnswer: 1998.8391829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 237497272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, r: 1, g: 4, b: 1}. What is prob of sequence bg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2051297719?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231994155 divided by 3.\nAnswer: 77331385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, -0.2, 1\/6.\nAnswer: -19, -3, -0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {j: 3, x: 2, y: 1, w: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20242*u**4 - 1513*u**3 - 33200602*u**2.\nAnswer: 485808*u - 9078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1296, -3.\nAnswer: -1296, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15.55 - 29.82153594\nAnswer: -45.37153594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2948 greater than -2943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -9*o - 5*a - 25, 0 = 5*a - 5 + 30 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10608 and 5833776.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 3 + 17 + (1 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 170, 167, 178, 203, 242?\n\"Answer: 7*k**2 - 24*k + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61674\/61 or 1012?\nAnswer: 61674\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4677818834 rounded to the nearest one hundred thousand?\nAnswer: 4677800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 8*x - 2. Let z be h(3). Let j(q) = 4*q**3 - 3*q**2 + 1. What is j(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 2*s - 185. Let d = s + 323. List the prime factors of d.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**8\/2240 + s**7\/168 + s**6\/30 - 6*s**5\/5 + s**4\/4 + s - 7. Let m(a) be the third derivative of i(a). Solve m(q) = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 22*r**3 + 95*r**2 + 39*r + 59. Give q(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/(-6) + 3 + 18\/(-4). What is the greatest common divisor of 35 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 28272.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -78270*g + 7983554. Calculate v(102).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10311 + -7197. What are the prime factors of c?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 155. Let y be f(26). Let a = y - -60. Is a at most 188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37738.\nAnswer: 2, 18869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 - (1 + (-12)\/7). Which is the nearest to 0.2? (a) 3 (b) 4 (c) -3\/7 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1923602.\nAnswer: 2, 827, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**3 + 17706*r**2 - 88580*r = 0.\nAnswer: -8858, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 - 441454*s**3 + 24360424990*s**2 - 24359983538*s.\nAnswer: 2*s*(s - 110363)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*i + 4. Let l(k) = -9*k + 57. What is the lowest common multiple of l(5) and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47822 and 38486?\nAnswer: 920238746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3 - 2, 2*j = -4*q. Suppose -42 = -j*z - z. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -2.2. Let m = -0.509 - -0.009. Let c = m - f. Sort c, 3, 0.5 in decreasing order.\nAnswer: 3, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k + 9*k - 2*k**2. Let n(o) = 15*o**2 - 7*o - 7. Let w(r) = 8*r**2 - 4*r - 4. Let q(v) = 4*n(v) - 7*w(v). Calculate q(y(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1062 + 22*x - 2*x + 1066 - 2128.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p = 37*p - 14330. Does 62 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 491.78 - 487. Let u = 1.78 - x. Which is the third biggest value? (a) -33 (b) u (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 76?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)\/sqrt(7) + sqrt(32)\/sqrt(4))*-4)**2*-1.\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -192932.7932 to the nearest one thousand.\nAnswer: -193000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k**3 + 2*k + 1. Let z be (1\/2)\/((-9)\/18). Calculate s(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42189)\/42)\/41*12\/42\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/4, -43589 in decreasing order.\nAnswer: 1, -1\/4, -43589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5170832 - -45?\nAnswer: 5170877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -9.9. Let n = -0.2 + x. Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6069.532 millilitres?\nAnswer: 6.069532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3128 and 2468?\nAnswer: 1929976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - x**2 + 3*x**2 - 3*x**2 + 4*x**2 - 2*x**2 + (0*x + 0*x + x)*(-2 + 2 - x) - x + x - x**2 to the form g*x + l*x**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + 7 + (-14 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*j = 35, -2379*j + 2375*j = 7*l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5651173 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 73003*w - 437963. Determine p(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 8*k + 8. Let d be s(7). Let q be 8\/(-36) - 64\/(-126). Is d less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/21? (a) 0 (b) 3 (c) 2\/3 (d) 0.2 (e) 0.063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_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: How many years are there in 0.7279132 centuries?\nAnswer: 72.79132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r**2 - r + 245. What is the remainder when f(0) is divided by 126?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -83 - (-1995 - -2070)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 17681310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 990*2\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(104) - sqrt(104))*-1*-5)\/(2*(-2*sqrt(16))\/sqrt(2)) + 4 + 0)**2.\nAnswer: -30*sqrt(13) + 3181\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1139510*w**2 + 1219363*w wrt w.\nAnswer: 2279020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 4.8. Let d be (-12 + 2 - 104\/(-10))*(0 + 1). What is the closest to d in -8, 2\/5, 0, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmiv when four letters picked without replacement from pvqpqqvmiqvpjpm.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 6. Is 2 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 164 (b) -2\/5 (c) -485\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 + -1.3. Let g = -0.1108 + 0.0108. Let r = 4 + -9. What is the closest to s in r, 0.6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7920386 by -56.\nAnswer: 3960193\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178.354 - 178. Let t = 0.646 + s. What is the nearest to t in -3, 1\/5, -5, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*f - 1796, -5*f + x + 4*x + 2245 = 0. List the prime factors of f.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v + 177. Let l be x(8). Solve 153*r - l*r = 40 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from {n: 2, t: 6, d: 7, j: 1, b: 4}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-192)*8 + (-44)\/96. Let h(i) be the third derivative of 0 - i**2 - 7\/60*i**5 - 1\/3*i**3 - o*i**4 + 0*i - 1\/60*i**6. Let h(y) = 0. What is y?\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/8 + (-1)\/(-2). Suppose t = -3*t + 4. Let c be t\/(0 + (-3 - -4)). Is u less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38996 * 1.\nAnswer: 38996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3105 and 1485.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**5\/20 - j**4\/4 + j**3 - j**2\/2 + 3*j. What are the prime factors of q(5)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iziiziziizzzzi. Give prob of picking 2 z.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28820102.899631 - 28820064. Let s = o + -38.9. What is s rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -123, -166, -107, 54, 317, 682, 1149?\n\"Answer: 51*a**2 - 196*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -36681871.1 to the nearest one hundred thousand.\nAnswer: -36700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/157 - -269\/2355. Let n = -79 - -1026\/13. Sort c, n, 1\/4, 2\/9 in decreasing order.\nAnswer: 1\/4, 2\/9, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 12:03 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 + 25) - (521 + -526)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4330 divided by 15?\nAnswer: -866\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 - 12 = 7*t. List the prime factors of (8000\/15)\/4 + 4\/t.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - k + 1. Let c be q(0). Let b be 2 - 0 - 44\/21. Sort -4, b, c in decreasing order.\nAnswer: c, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*3)\/(sqrt(9)\/sqrt(3)*-5 - sqrt(3)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**3 - 4*w**2 - 4. Let g(a) = -7*a**3 + 5*a**2 + 5. Determine -4*g(c) - 5*n(c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667 = 6569*g - 6592*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5 - 2 + 5 + 3*c as x + o*c and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28171.\nAnswer: 11, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2401, 2623, 2845, 3067, 3289?\nAnswer: 3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 k when three letters picked without replacement from oenoxkkoooknn?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.75 - -0.35. Is -3 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/279 + 589\/342.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 5*h**2 + 4*h - 3. What is z(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 37387679.59 to the nearest 1000.\nAnswer: 37388000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 7) in base 12?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**4 + 6*w - 11*w**2 - 14*w**3 + 4*w**4 + 16*w**3 + 13*w**2 to s*w**2 + u*w + y*w**3 + r + t*w**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -203.\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3483?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.88 - 6.8797324. What is x rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-32)\/126)*96. Let i = -2925\/2 + v. Find the common denominator of 101\/8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**7\/1155 - f**6\/660 + f**2 + 2*f. Let y(l) be the first derivative of c(l). Factor y(w).\nAnswer: -2*w**3*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/26488 and -75\/33712.\nAnswer: 370832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - 0.2. Let y = -1 + 1.3. Let k = 7 + -5. What is the closest to -1 in t, y, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -174040 to the nearest one thousand.\nAnswer: -174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2262, -2372, -2672, -3258, -4226, -5672, -7692, -10382?\n\"Answer: -16*l**3 + l**2 - l - 2246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f + 15*f + 64*f - 222 = 0. Suppose p + 15 = 6*p. Solve 5*h + 3 = -7, f*h = p*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 2*t**2 - 5*t - 8. Let n be l(-2). Suppose q = n*q - 789. Let u = q + -458. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 75*n**2 - 5*n + 538. Suppose 15*g - 17*g = 4. Let p(y) = 37*y**2 - 2*y + 270. Let c(t) = g*r(t) + 5*p(t). Find the first derivative of c(f) wrt f.\nAnswer: 70*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2912850 by 19419.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33338 and 3798.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 10 - 15 + 5. Let j be -4 - (0 + -2)\/(-1). Let n = -42 + 27. Let i(k) = 2*k**2. Determine j*i(h) + n*y(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -1c2?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -240811?\nAnswer: -240811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 2*g**3\/3 + 11*g**2\/2 - 8*g. What are the prime factors of o(10)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268546 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**2 + 6*z + 5. Let i be m(-4). Let p be (-1939)\/i - 4\/(-22). What is the units digit of 5\/(-2)*20\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*75\/(-20))\/(345\/1656*6\/3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 148 = l + 144, 5*l - 20 = -n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.0250482467 - -2.02504. Round z to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 - (5 - (11 - 7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b4da (base 14) in base 12?\nAnswer: -34320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 9246\nAnswer: 9\/3082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/12 - 25*r**4\/24 + 5*r**3 - 11*r**2. Suppose j(b) = 0. Calculate b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -55972*d - 895562. What is z(-16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*p + 14 + 10, x - 2*p - 9 = 0. Let g(q) = -7*q**3 - q**2 - 5*q + 10. Let w be g(x). Let o = -72 - w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10426 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183 and 488?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -2)*4)**2.\nAnswer: -192*sqrt(13) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 494666712 to the nearest 100000.\nAnswer: 494700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 3*t + 4. Suppose -16 = 4*i + 2*o, -o - 26 = 5*i - 0*i. Let c be m(i). Suppose 0 = p + p - c. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2598*v - 3781*v - 2670*v + 9377*v.\nAnswer: 328*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-390)\/21*21\/(-525)*-105?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 162\/(-234)*4\/(-18)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 2 - 247*u**3 + u**2 + 268*u**3)*(4 - 3 - 2).\nAnswer: -21*u**3 - 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaasaapsaasasads. Give prob of sequence aps.\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from 380049.\nAnswer: 380031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4 - 2.4. Let y be (8\/6)\/(-2)*1. Let c = -16 + 21. What is the nearest to y in f, -2\/5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 6*m**2 + 2*m**2 + (0*m - 3*m + m)*(-402*m - 1035*m - 196*m) to the form f*m**2 + z*m + h and give f.\nAnswer: 3264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**3 - 8*a**2 + 4. Let n be m(6). Suppose -8*c - 35 = -9*c. Suppose c*s = 39*s - n. What are the prime factors of s?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 683151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 16*k**2 - 42*k + 18. Is 13 a factor of j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - i**2 + i + 1. Let q(d) = -9 + 12*d + 6*d**3 - 35*d + 2*d + 12*d + 9*d**2. Calculate -9*b(j) - q(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 46. Let l = -93 - -93. Let s = l + w. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -13 - 3 - 1 - 1. Let x be 470\/(-62) + w\/(-6). Let s = 2603\/372 + x. Find the common denominator of 109\/18 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 17*y - 5. Let p = 22 + -7. Suppose r = j - 4*r + 5, -r + p = -3*j. Let m(v) = 8*v - 2. Let g(z) = j*m(z) + 2*l(z). Let h(c) = c. What is h(g(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18471334 and 0.1.\nAnswer: -1847133.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33181*d**2 + 0 + 33189*d**2 + 0.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1857.323 nanometers to centimeters.\nAnswer: 0.0001857323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -898*c + 53795. Determine z(60).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from avwavaavavawa.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 5*h - 4*n, h = -213*n + 212*n + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 18 = -2*z, 0 = 4*p - 6*z + 5*z + 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16390095955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + q + q)*(139 - 27 - 60)*(-2*q + q - q).\nAnswer: 208*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -114 times 4\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 32. Let t(o) = -o**2 - 7*o - 5. Let a be t(c). What is the smallest common multiple of 4*(-6 + a - -9) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6940 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5382\/69*(-600)\/400?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -44*t - 97. Let c = -2 - -3. Solve -h + c - t = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204822 is divided by 51123?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54083?\nAnswer: 54083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m + m)*(-2*m + 0*m + 0*m)*(m**2 - 4*m**2 + 2*m**2 + (4*m + 2*m - 5*m)*(m + 2*m - m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 135 = -3*d, -949*o + 39 = -948*o - 5*d. Solve 11*x + 0*x = -o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431840420 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 11:10 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4) + (-5)\/20. Suppose l = 4*w + 3*o - 25, -2*o + 19 - 1 = 3*w. Let k be w*((-30)\/8)\/(-3). What is the highest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.4, 644\/3?\nAnswer: 644\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2*11\/1)\/2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 3102, 10637, 25192, 49107?\nAnswer: 84722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 11:37 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 1 - (-24)\/3. Suppose -5*q - 20 = 2*x, -10 - 25 = 5*x + 5*q. Is (18\/x)\/((-4)\/b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*g + 113. Let k = g + -1. Let w = -19 + k. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 0.5, -12926 in ascending order.\nAnswer: -12926, -3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osososoooooosozoozoz. Give prob of sequence ssoo.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1165431847?\nAnswer: 41, 227, 125221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - -29. Suppose 0 = 5*h - 8*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: What is the next term in -5, -21, -47, -83, -129?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 563, 5867, 20541, 49271, 96743?\n\"Answer: 781*c**3 - c**2 - 160*c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(5\/6)\/(f**(-1)\/f)**(-37)*((f*((f**0\/f)\/f)\/f)\/f)**(2\/23)*(f*f\/f**0)**49 assuming f is positive.\nAnswer: f**(3391\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 - 55442*t\/5 + 886816\/5.\nAnswer: (t - 55426)*(t - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = r - u, 4*r - 35 = -0*r + 5*u. Suppose 3*a - 251 = -d + 7*a, d = r*a + 255. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7660 divided by 1\nAnswer: -7660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 (base 16) in base 4?\nAnswer: 12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/5 - 1)\/((-14)\/(-105)). Which is smaller: -8 or l?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 44 = 164. Let d = t + 16. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) 0 (c) -3\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3537.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1*(2 - -56). Let d = -41 + m. Calculate the remainder when 47 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -125\/29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Suppose 2*i = -4*b + 44, 2*b - 19 + 5 = q*i. Solve -5*g - b = -0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -965.067 - -965. What is the third biggest value in -3, j, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10)*(-44)\/(-198).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-365)\/(-292)*(6 + -9 - -11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*((3 + sqrt(1872))*-1 + (sqrt(1872) - (-3 + sqrt(1872) + -3)) + sqrt(1872) + -5)**2*-3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*x = -581*x + 5414 + 3961 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/6 - -11\/6. What is the second smallest value in -1\/16, q, -5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -974140 and -0.043.\nAnswer: 41888.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1 - 133\/49) + 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7467231?\nAnswer: 3, 2489077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79969, 80051, 80133, 80215, 80297?\nAnswer: 80379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20662\/7 - 2952. Put c, 2, 0, -1 in descending order.\nAnswer: 2, 0, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (482\/2892)\/((-3)\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -13*h**8\/168 - h**6\/24 - 13*h**5\/60 + h**3\/3 - 21*h**2. Find the third derivative of a(r) wrt r.\nAnswer: -1560*r**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/98 + (-1474)\/14. Let z = o + 108. Suppose -215 - 100 = -z*r. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 80, 6\/385, 2\/5, -0.4, 3?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 <= 538376750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 - 6*k**4 + k**4 + 6*k**4 - 13*k**3 + 13*k**3 - 4*k**4 + 0*k**4 + 2*k**4 + (2*k - 3*k - k)*(0*k**3 + 2*k**3 + 0*k**3) + k**4 + 2*k**4 - 4*k**4.\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.2 + -9.2. Which is the biggest value? (a) -1\/7 (b) h (c) -53 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1 + 500001*c**3 - 2*c**2 + 19*c - 3 + 20*c - 36*c. Let h be x(1). What is h rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -6 + -9 + 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))\/(k**(-5)*k*k))\/((k**(-4)\/k)\/k**(-1\/8)) assuming k is positive.\nAnswer: k**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 272844523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/4 + 2 - 2. Suppose 5*s - 15 = 0, 0 = 4*z - 4*s - s + 31. Sort 5, z, q.\nAnswer: z, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.34, -27, 3, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.55 in -0.09, 5, 2\/7, -4, -20, 1\/4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -14. Let c be 1 + (-2 - 0) + 2. Suppose 2*b - 16 = -2*b. Put c, k, b in descending order.\nAnswer: b, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.22305 - -0.215. Round q to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - 0.14. Let s = 24901\/19 + -1311. Let f = s - 17\/95. Which is smaller: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**3\/2 + 120*a. Let t(q) = -q**2 - 3*q. Determine u(t(p)).\nAnswer: 3*p**2 + 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/2112 and 113\/1056?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -78, -491 in ascending order.\nAnswer: -491, -78, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(((b\/b**(-6))\/b)\/b*b))\/(b*((b*b\/b**(-7))\/b)\/b*b))**22 assuming b is positive.\nAnswer: b**(-286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Let j(g) = 188*g**2. Calculate j(z(q)).\nAnswer: 752*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.74 take away 6?\nAnswer: -9.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -29458000 to the nearest one hundred thousand.\nAnswer: -29500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 31*g - 285. Calculate u(13).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrq when three letters picked without replacement from rqqqrqqrrrqqqqqqqr?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (33\/6 - (0 - -3)). Let s be 71\/(2\/((-4)\/(-21))). Let k = s + -20\/3. Which is the smallest value? (a) k (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -135, 0.1, -5, 4 in increasing order.\nAnswer: -135, -21, -5, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -139*x + 65*x + 71*x + 6*x**2. Let m(i) = -6. Let y(k) = 3*k + 24. Let t(q) = -4*m(q) - y(q). Calculate f(t(d)).\nAnswer: 54*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1532, 4084, 6636, 9188?\n\"Answer: 2552*o - 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2912 - -0.2312. What is the nearest to 0.15 in -4\/9, r, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*u - 5728648 = -5737675 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4454218*i*k + 94*k + 7042 with respect to i.\nAnswer: -4454218*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 224917 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-75)\/675*2\/(-8)*-6. Which is the biggest value? (a) -1\/5 (b) m (c) 0.7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 1 u when three letters picked without replacement from iggigyyyygyguggggiy?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(2\/(-8)*(-366)\/(305\/(-5)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 9 - -2) + -1. Let o(v) = c*v**2 - 16*v**2 - v - v**3 + 5*v**2. Calculate o(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000504408 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4\/5, -1\/6, 1\/8, -344\/321?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -1 - -9 - (8 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 80086, 0.06, 4.\nAnswer: -0.2, 0.06, 4, 80086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 28577*t - 1743244. Calculate p(61).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 - -61. Let c = -0.05 - -0.65. Let b = -2.6 + c. Sort a, b, 5 in decreasing order.\nAnswer: 5, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3440.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (575958\/472)\/(1*9\/48) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521213652 to the power of 1\/2, to the nearest integer?\nAnswer: 39003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 1 + 1)*(-3 + 3*j + 0 - 11*j) to the form o*j**2 + x*j + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 12:37 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313 a factor of 1477586357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (495\/(-4 - -9))\/1. Calculate the greatest common divisor of d and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 212. Give h(18).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5900277 and 8016.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -o + 29, -4*t - 305*o = -308*o - 8. What is the nearest to -2 in t, -0.3, -2.7, -1\/3?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12253*x**2. Let t(r) = r. Give t(p(o)).\nAnswer: -12253*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 121*a - 127. Give l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 + 7*p**2 - 5)*(2*p + 2*p - 5*p) + p**3 + 0*p**3 + 5*p**3.\nAnswer: -p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 420 + -458.4. Let u = -45 - t. What is u rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 95310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/8)\/(j**(2\/19)\/j)*j**(2\/7)\/j*j\/j**(8\/7))**(-36) assuming j is positive.\nAnswer: j**(-1557\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n - 240 = 6 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2935449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 139 = -59. What is the smallest common multiple of 20 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.22 + 10.22. Let c = -3.1 + 1.1. What is the third smallest value in c, -2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10954026 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158963.100007 - 158963. Let n = 0.1 - s. What is n rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*11886.\nAnswer: 713.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/5))**(16\/7) assuming m is positive.\nAnswer: m**(96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 2*b**2 + 3. Suppose -6 = 2*p, -3*p = g + 2*g. Determine u(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 39.9 and -72.\nAnswer: -32.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 + 2*x**2 - 3*x**2 + 2*x**2 - 2*x**2 - 3*x**2 + (2 - 2 + 2*x)*(-3*x - 2*x + 6*x) - 1 - x**2 + 1 to t + s*x**2 + v*x and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 0)*(-2 + 0 + 4)*(3*t - 2 + 2)*(81 - 162 + 209) to r + y*t and give y.\nAnswer: 1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/24 and 37\/2040660?\nAnswer: 4081320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71213, 142426, 213639, 284852?\n\"Answer: 71213*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5318 equal to -5458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 divided by 3?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/30 and 61\/95615550.\nAnswer: 95615550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i = -48*i. Sort 395, 3, i.\nAnswer: i, 3, 395","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -446.29 + -8.71. Let o = 454.99999717 + k. Round o to seven decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**3\/3 - 3*s**2 + 5*s - 1. Let a(m) = -m**2 + 12*m + 5. Let k be a(12). Let q be i(k). Is 2 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooyy when four letters picked without replacement from {o: 3, y: 9}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4694649 is divided by 2347319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 1, v: 1, e: 1, l: 1, r: 1}. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 + 5*j - 14. Let n be f(2). Let r be 36\/24 - 2\/(n\/(-42)). Solve y = -c + 6 - 2, -5*c - r = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10102110112110 (base 3) to base 4\nAnswer: -12330111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 117 = -37. Suppose -2*p = -u - 176. What is the greatest common divisor of 27 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/14, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813967664?\nAnswer: 2, 50872979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -5. Differentiate 3 + 3*f - f + z*f - 4*f wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 * -4207\nAnswer: 134624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2. Let v = 15 + -13. Let z = 10 - 6. Let h(c) = -2*c**2 - z*c**v + 3*c**2. What is o(h(y))?\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002504908274 rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from eegg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4101 - -1387. Find the common denominator of 67\/27 and m\/(-924) - (-3 + -1).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 205610 (b) 0 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 179*g - 5271. Calculate the remainder when 522 is divided by d(31).\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201950 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-5) - 2004\/(-20). Find the first derivative of 44 + 78 + 77 - 17 + q*w**2 - 11 wrt w.\nAnswer: 198*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*r - 2*r. Let i = 5985 - 5982. Suppose 0 = -2*k - i*j - 5, -j - 25 = -r*k + 4*j. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*s**4 - 3*s**3 + 30*s + 2493 wrt s.\nAnswer: -60*s**3 - 9*s**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*m*o**2*y**2 + m*o**2*y - 61*m*o**2 - 20*m*o*y**2 - 2*m*o*y + 12*m - 4*o*y wrt y.\nAnswer: 408*m*o**2 - 40*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -19 + -33 + 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 + (170\/(-50) - 2). Let b(c) = -5*c**2 + 5 + 8 + 8*c**2 - 15*c. Let r(t) = 2*t**2 - 8*t + 7. Let h(z) = 3*b(z) - 5*r(z). Give h(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 14 = -4*o, -4*o + 5*s + 2 = -4. Suppose 39 = o*u - 17. Solve -u = -4*a + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1806)\/(-90) + -19 - (-1)\/((-3)\/2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.81 - -0.81. Put 6, t, -4 in decreasing order.\nAnswer: 6, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -29 - 139. Let u(c) = c**3 - 10*c**2 + 10*c - 15. Let p be u(6). Let g = t - p. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 41 + 51 = -3*d, -2*z + 4 = -d. Sort -1, z, -5, 3, 4 in descending order.\nAnswer: 4, 3, z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/18 (b) -2\/11 (c) -5 (d) -1 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*c - 9. Let l(w) = 4 - 4 + 1 - w. Let n be l(c). Let r(i) = i**2 + 2. Determine r(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or 3260\/141?\nAnswer: 3260\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.22 - -26. Let k = 0.28 - t. Let v = -10 + 7. Which is the smallest value? (a) v (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-195))\/((-5)\/25 + 1). Which is the third biggest value? (a) -3\/5 (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzbbbbbzbzbzbbbbzb. What is prob of sequence zzz?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -84b (base 14) to base 2\nAnswer: -11001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o + 56 = -37*o. Let b be 0*(-5 + 36\/o). Which is smaller: b or 2\/115?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2611*c**4 - 2492.\nAnswer: 10444*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, z: 6}. Give prob of picking 3 z.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abtq when four letters picked without replacement from etaqb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 17*w + 577. Calculate s(-34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 7. Let n(r) = 4*r + 15. Let s(d) = 6*n(d) + 13*y(d). Determine s(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 0*q + 300. Let m be (-3880)\/q*(-6)\/(-4). Let f = 162 + m. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -446*j + 898*j - 426*j + 9*j**2 - 36 - 10*j**2 - 13. Determine g(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/27*309\/(-206).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 129*i**2 - 7 + 5*i**2.\nAnswer: -124*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 647480 to the power of 1\/2, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 66 = -8*j. Let t be (-15)\/(-9)*j\/2. Let a = 1.8 - 2. What is the nearest to -0.2 in t, a, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 6. Let m(q) = 2*q + 7. Suppose 9*c - 70 = -c. Let g(d) = c*l(d) - 6*m(d). Let r(w) = -2*w**2. Determine g(r(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*w**5 + 16*w**3 + 3019*w**2.\nAnswer: 1500*w**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from pcccccccacfcfchcpcpc?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -26519403723134 + 14\nAnswer: -26519403723120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3213843856 + 3213843856 + v + 10*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbvpbvvyvvyi. What is prob of picking 2 b, 1 v, and 1 y?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**(3\/2)*s)\/s)*s)\/s**(-10))\/((s\/s**(-2\/13))\/s**6) assuming s is positive.\nAnswer: s**(451\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 7*w**2 - 5*w - 3. Let l be r(6). Let b be (49\/420 - (-4)\/30)*0. Sort 5, b, l in ascending order.\nAnswer: b, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 23. Suppose -3*z + 21 = -0*z + 2*s, -d*z - 4*s + 35 = 0. Suppose z*t - 2*t + 5 = 0. Which is smaller: 1\/43 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, 537, 915, 1457, 2169?\nAnswer: 3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3736 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -202) + -38 + 13 + (-9 - 0)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.225 + 286.225. Let y = 286.023 - k. Is y at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5606025 (base 7) to base 5\nAnswer: 134104124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 87*j**2 - 4*j + 4. What is the tens digit of a(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, i: 4, a: 3}. What is prob of picking 1 i, 1 m, and 1 a?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 444\/5 - 1334\/15. Which is the second biggest value? (a) 12 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 263, 634, 1163, 1856?\nAnswer: 2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-9) - (-14)\/6. Let y(c) = -11*c**k + 7*c**2 + 6*c**2. Let m(h) = 0 + 0 + h**2. What is m(y(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190 + 98. Let s = -61 - q. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 2*k - 2*k + (4 - 2 + 0)*(2*k + 0*k + 0*k) + k + 2*k - 2*k + (2 - 2 - 3*k)*(4 + 4 - 4) in the form w*k + o and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 1)*(-o + 0*o + 2*o)*(67 + 13*o - 67) + 3*o**2 - 1 + 1 + (2*o**2 - 3 + 3)*(-5 + 3 + 1) + (3*o - 4*o + 2*o)*(o + 3 - 3).\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142258324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from iklll.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r - 12. Let j(s) = -s - 12. Let k be j(-7). What is the units digit of a(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110560 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 16*y to i*y + d and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*c + 32 + 1, c + 3 = 0. Let b(p) = -p + 24. Let w be b(f). Solve -9 = -w*h + 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -2\/13, 7, 79, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1595 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 14340 and 2202780.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 25*w - 1120. Calculate the highest common factor of 205 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118666, -237330, -355996, -474664, -593334, -712006, -830680?\nAnswer: -949356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 322256813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(-744)\/93*(-6)\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 858 + -861. Let g(q) = 2*q - 7. Calculate g(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2, 149 in ascending order.\nAnswer: -3, -2, -1, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3 - 11 = 2*p, -5*p = -5*t - 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:17 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34 or 16?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 140*k**2 - 101*k**2 + 118*k**2 - 9*k**3 + 135*k**2 + 6*k**3 in the form w*k**2 + t + p*k**3 + v*k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2468 + -2533. Which is the second smallest value? (a) -2 (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -676, -1348, -2020, -2692?\nAnswer: -3364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 9*v**2 + 11*v + 4. Let b be a(-10). List the prime factors of 9\/b*410\/(-15).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1691*s + 56823 + 709 = 3420 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*l**2 + 47*l**2 - 6637*l**3 + 38195*l**3.\nAnswer: 31558*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/8)\/((-9)\/36). Suppose 0 = r*l - 2*l. Solve -n + 2*n - 1 = l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4\/(76*-1)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrlrrlnrlfl. What is prob of sequence nl?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - 33. Let o be ((-219)\/(-9))\/(1\/3). Let w = o + v. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28282529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**3 + 17*d**2 + 400*d - 558031 wrt d.\nAnswer: -6*d**2 + 34*d + 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3734618 and 28?\nAnswer: 52284652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 35 = -0*w. What is the common denominator of (w\/(-20))\/((-6)\/(-5)) and 101\/22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 28*l**2 + 28*l - 17. Let t(b) = b**3 - b**2 + 2*b + 3. Suppose 3*p - 20 = -2*p. What is the remainder when t(p) is divided by i(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (59 + -17 + 74 + 7).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 332 - -5?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + -11102022120021211?\nAnswer: -11102022120022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 2*y + 2*y)*(y + 0*y + 3*y - 4 + 4 - y + (-1 + 4 - 1)*(-48*y + 13*y - 112*y)).\nAnswer: 291*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*r = 2*m + 7, -3*m + 2*r + 11 = 0. Let q be 0 - m - (5 + -7). Sort 3, q, -2 in decreasing order.\nAnswer: 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/195*3*1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -198286*l + 578156 wrt l?\nAnswer: -198286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 2, c: 1, j: 1, t: 1, n: 1}. What is prob of picking 1 t, 1 j, and 1 n?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -705 - 8?\nAnswer: -70d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 0*p**5 + 0 + 3*p**3 + 0*p**4 - 5*p - 13\/30*p**6 + 0*p**2. What is the second derivative of z(r) wrt r?\nAnswer: -156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7312*n**6*z**3 + 18*n**3*z**3 + 7*n**2*z**3 - 228*z**3 - 2 wrt n.\nAnswer: 877440*n**3*z**3 + 108*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from opkpopkpooookkok?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 8) to base 13\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33081839306 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 123646 a multiple of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddnnunnnuunun. Give prob of picking 2 n and 2 d.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -944, -6510, -12076, -17642?\nAnswer: -23208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1096*n + 19511 + 23233 = 0 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7390 by 1.\nAnswer: 7390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 23, -7, 4 in descending order.\nAnswer: 23, 4, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17251 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxnpr. Give prob of picking 1 x, 1 p, and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6 + 972.\nAnswer: 974.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-15))\/((-2)\/10). Suppose -9*o = -23 - 4. Suppose -24 = -4*x - 4*n + 16, x = o*n + 14. Solve 5 = 3*k + 5*t - x, 5*t = -u*k + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f**5\/3 + 488*f**4 + 2277*f**3 + 7748*f**2\/3 + 895*f + 96 = 0. Calculate f.\nAnswer: -3, -1, -1\/4, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 35, -3, -115, -21, -8, -4 in descending order.\nAnswer: 35, -3, -4, -5, -8, -21, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2.7 (b) 0.5 (c) 70 (d) -1.1 (e) 0.3 (f) 0 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00230366156 to five dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -313647*h. Let k(v) = -30*v. Give b(k(j)).\nAnswer: 9409410*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 17*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47805, -94452, -139945, -184290, -227493, -269560, -310497?\n\"Answer: -g**3 + 583*g**2 - 48389*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90534 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-644)\/63 - (-5 + -5) - (-518)\/63\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10533, 3\/2, 15\/28?\nAnswer: -10533","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 14624 = 14320. Let a be (39\/24)\/((-63)\/(-373940)). Let z = a + y. Calculate the common denominator of z and 13\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3, 2*k = -6*n + n + 59. Let t = k - 19. Suppose t + 42 = 5*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 13*g + 7359. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440.510027 rounded to the nearest 10?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*(((i*((i\/(i\/(i*i**(-1\/13)*i)))\/i*i)\/i*i)\/i)\/i)\/i*i)\/(i**(-2\/11)*i*i\/(((i\/i**(-5\/2))\/i*i)\/i)))**(17\/5) assuming i is positive.\nAnswer: i**(7803\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10462 (base 8) to base 7\nAnswer: -15556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (38\/(-3))\/((-8)\/12). Let d(z) = -z**3 + 16*z**2 + 2*z - 20. Let j be d(16). Let m = a - j. Solve -4*s = -m + 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*(sqrt(98) + -6*(sqrt(98) + 0) + 4 + -1*sqrt(98) + sqrt(98))*-6)**2.\nAnswer: -5806080*sqrt(2) + 51134976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12 + 12 + 5*t**2. Let b(n) = 41*n**2 + 10*n - 5. Let q(w) = 62*w**2 + 14*w - 7. Let i(h) = -7*b(h) + 5*q(h). Calculate x(i(v)).\nAnswer: 2645*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 19f04 (base 16) to base 8\nAnswer: 317404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/49, -1\/3, 2 in decreasing order.\nAnswer: 2, 2\/49, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -156, -258, -360?\n\"Answer: -102*k - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.8 + 0.8. Let r = -10 + -6. Let o = r - k. What is the smallest value in -2, -0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177291 - 531860 + 177290 + 177285 + 28*a**3.\nAnswer: 28*a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(363) - (-5 + (sqrt(363) - sqrt(363)*-2 - sqrt(363))) - sqrt(363) - sqrt(363)))**2.\nAnswer: -264*sqrt(3) + 3283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339652609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -36*v**2 + 232*v - 352 = 0.\nAnswer: 22\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 4. Let o(p) = -p**2 + 5*p + 6. Let b be o(6). Let x be t(b). What is the common denominator of ((-35)\/(-63))\/(x\/(-33)) and 5\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 117\/293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96 or -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*x = 38, 2*n - 4*x - 1 = 69. Let f = n - 21. Calculate the lowest common multiple of 4 and 11\/3 + (-8)\/f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 20*i + 48. Calculate the remainder when 751 is divided by u(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*w - 313, 5*o - 27*w = -26*w + 817. Calculate the remainder when 362 is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + (-3)\/3)\/(-2). Let q(g) = g**3 + 2*g**2 - g + 9. Let c be q(n). Solve -c*j - 15 = -0*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27073 (base 13) to base 7.\nAnswer: -421435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49130848 is divided by 253?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24636134 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 249, 1005, 2267, 4035?\n\"Answer: 253*w**2 - 3*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, t: 2}. What is prob of picking 2 t and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 8:26 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3.6. Let m = 7.3 - 7. Let g = 2 - 1. Which is the third smallest value? (a) m (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110011100100110110100 (base 2) to base 5\nAnswer: 413040121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 2*z - 5*z + z + 3*z + (z - 2*z + 2*z)*(-2 - 2 + 6) - 1 + 1 + 2*z - 3*z + 4*z + z + 12*z + 28 - 28)*(-24 - 17*z**4 + 24).\nAnswer: -306*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2 + 248*o + 1978. Give c(69).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - v = -0*j + 5, 4*v = j - 6. Factor -5 - 8*l**2 + 3 - 19*l**3 + 10*l + 21*l**3 - j.\nAnswer: 2*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4947011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.72205663 to two dps.\nAnswer: -7.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(143)*2 - sqrt(143) - sqrt(143) - ((sqrt(143)*2 - sqrt(143))*-3 - sqrt(143)))\/(sqrt(121)\/(-2*sqrt(11) + sqrt(11)) - 2*sqrt(396)).\nAnswer: 2*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Suppose 5*d - d - 48 = -3*p, r*p + d = 64. Calculate the remainder when 31 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 - (35\/28 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2 - 4 + 2*g**2 + 2*g + 0 + 1. Let w(h) be the first derivative of h**4\/4 - 3*h**3 - 9*h**2\/2 + 19*h + 1504. Determine 9*o(a) + 2*w(a).\nAnswer: 2*a**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -613727 or -613739?\nAnswer: -613727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2 + 524*b = 0.\nAnswer: 0, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.4 (b) -1 (c) -26 (d) 2\/17 (e) -2\/9 (f) -2\/3 (g) -495\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 7:52 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 186764989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -145, 3988 in ascending order.\nAnswer: -145, -0.1, 3988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -61107451 and -61107453 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsjf. Give prob of sequence js.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 3*i**2 - 3162 + i**2 - i**2 - 5*i**3 + 69*i + 3158 to the form u*i**3 + t*i + v + a*i**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1419, -4, -3, -2 in increasing order.\nAnswer: -4, -3, -2, 1419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*i + 4, -2*i = 2*q - 7*i - 8. Suppose -q*t + 880 = t. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j + 21*j + 31*j.\nAnswer: 35*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117519, -117925, -118333, -118743, -119155, -119569?\nAnswer: -119985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3260017ml to litres.\nAnswer: 0.0003260017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 7*h - 2. Let d be a(8). Suppose d*k - 5 = k. Let v(j) = 6*j**3 + j**2 - j. Calculate v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9146 + -8591. Calculate the greatest common divisor of 5994 and k.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:10 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 29 = -61. Let d be 4\/6*6\/q. What is the second biggest value in d, 0.2, 3, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16385 and 31465.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rff. What is prob of sequence ff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**(11\/2)\/w)*w)**(-4\/9)\/(((w\/w**(1\/3))\/w)\/((w\/w**(6\/11))\/w)) assuming w is positive.\nAnswer: w**(59\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + (-6*sqrt(66))\/sqrt(11))\/(-5*sqrt(75)))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 3 (c) -1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2))**(-2\/49)*((h*h**(-1\/7)*h)\/h*h*h)\/h**(2\/7))\/((h**(-1)*h*h)**36)**(-17\/4) assuming h is positive.\nAnswer: h**(7617\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -b + 164, 4*b + 0*b - 16 = 0. Let l be (0 - -2796)\/3 - 4. What are the prime factors of (0 - 5)*1*l\/r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*v**3 + 615*v**3 - 1827*v**3 + 611*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 5, -4, -21, -46, -79?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -11936380 = -11936381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 29*h**3 + 6*h**2 - 18*h + 105. Let q be u(6). What is the greatest common divisor of q and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -3.3. Let w = -50 + 23. Let s be 3*(0 - (-6)\/w). Is s less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 18111608*x - 20501896521604.\nAnswer: -4*(x - 2263951)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1 + 21\/23). Suppose 10 = -4*c + 3*n + 31, -3*c = 5*n - s. Suppose c*f = f + 30. Solve -a - 3 = -2*k, -f = -2*k - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 5*m + 59. Calculate j(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 562331515 - -3?\nAnswer: 562331521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 15. Let y = x - 11. Suppose -4*k = y*d + 8, -5*k - 1 = -11. Put 0, 7, d in decreasing order.\nAnswer: 7, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381522221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/7 + 8*f\/7.\nAnswer: -2*f*(f - 2)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83240 + -83638.89. Let w = j + -7.11. Let m = -444.2 - w. What is m rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 3*l**2 - 2*l**2 + (-4 + 4 - l**2)*(3 - 1 + 0) - 6*l**2 - 2*l**2 - 14*l**2 to the form y + s*l**2 + u*l and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2021540?\nAnswer: 2, 5, 61, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5*a + 3*a + 3)*(-a + a - 2*a)*(4 - 2 + 0).\nAnswer: 8*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-6) + -1 + (-1606)\/(-12). Let h = 265 - a. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -775604*q = -4*p - 775608*q - 8, -4*p - 24 = -4*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - u - u - 2 = 0, 0 = 5*q - u - 15. Suppose -4*w - 16 = q*m, -23 = 6*m - 2*m - 3*w. Let b = 3 + m. Is b less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-62)\/62)\/((-2)\/2404)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 171. Let d be g(0). Calculate the greatest common factor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-5)*m*m)\/m)**(-9\/4))**(-49) assuming m is positive.\nAnswer: m**(-441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4817 + 3.\nAnswer: 4820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f + 6. Let w = -116 + 74. Let x = w - -46. Give p(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 556.7098mg to tonnes.\nAnswer: 0.0000005567098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 + 4*t + 2. Suppose 4283 = c + 4294. Suppose -2*z + 3 + 9 = 0. Let h(a) = -2*a**2 + 2*a + 1. What is c*h(m) + z*s(m)?\nAnswer: -2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 l when four letters picked without replacement from xllllxxxlllxx.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/8 and -7\/1157?\nAnswer: 9256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 53 = -2*w - 102, 0 = -u - 5*w - 43. Let h = u - -78. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 14*h + 133. Calculate b(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*u + 0*u = 45, u - 75 = -5*x. Calculate the remainder when ((-260)\/x)\/((-2)\/3) is divided by 3\/(6\/(-28))*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126192 (base 12) to base 7.\nAnswer: -2362223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3768652, -7537273, -11305894?\n\"Answer: -3768621*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.77345116 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -91\/4698 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1008 and 1584.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -26 - (-4 + (1 - -6 - 45))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3 + 9. Let d be (-3)\/(q\/(-2)) + 6. Let o = d + -8. Solve -2*h + 3*h = o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + 62. Suppose -3*i + 2*x = -27, 4*x + 15 = -5*i + b. Suppose -2*y = p - 181, 4*p = -5*y - p + 465. Calculate the greatest common divisor of i and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*a + 15 - 7 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -151*t**3 - 14*t**2 + t + 1. What are the prime factors of y(-1)?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035 = -6*r + 1910 - 1013 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r**2 + 3*r + 2. Let p(o) = -6*o**2 + 4*o + 3. Let n(z) = 2*p(z) - 3*w(z). Let d be n(-4). Round d to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 23?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**(-6))\/(h\/(h\/(h**0*h))))\/(h\/h**(2\/3)*h**(-2)\/h))**2 assuming h is positive.\nAnswer: h**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10028, -1184, 7662, 16510?\n\"Answer: x**2 + 8841*x - 18870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**3 - 10*w**2 + 35*w - 2. Let m(v) = 2*v**3 + 7*v**2 - 23*v + 1. Let n(x) = 5*l(x) + 8*m(x). Calculate the remainder when 35 is divided by n(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 249157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/40 + 342069\/910 is divided by 127.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622280.2 litres to millilitres.\nAnswer: 622280200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-50)\/(-51) + -1)\/((-1)\/3). Which is the nearest to -1? (a) -0.4 (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**7\/2100 + o**6\/300 - o**5\/300 - o**4\/20 + 7*o**3\/2 + 22*o**2. Let m(h) be the first derivative of b(h). Factor m(t).\nAnswer: 2*(t - 1)*(t + 1)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (sqrt(2057) + 1*sqrt(2057))*-5 + 2).\nAnswer: -12 + 330*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 510545 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*p + 26 = 104*p. Let n(g) = 8*g - 47. Let j be n(p). Calculate the highest common factor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 8:46 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48708)\/41)\/44*(-1)\/21.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 203*z - 256. Let a(p) = 1014*p - 1248. Let i(f) = 8*a(f) - 39*y(f). Let o(u) = u**2. Determine o(i(x)).\nAnswer: 38025*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 1. Let a(p) = -2*p - 2. Let i(s) = -4*a(s) + 5*z(s). Determine i(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 4:57 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 11*a**2 - 12*a + 23. What is v(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960*q = -955*q - 5. Is 7 a factor of ((-355)\/(-25))\/(q\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*z + 15, -z + 0*z - 11 = -f. Suppose -65 = -f*h - 51. Suppose -2*c = c + 9, -2*c = 3*j - 36. Solve -j = -3*g - h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10261 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(14)\/(-5*sqrt(2)) + (-5*sqrt(63))\/sqrt(9))**2.\nAnswer: 4807\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41450 + -41438. Calculate the remainder when (-88)\/(-3) - (-1)\/(-3) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1903 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0032427 to five dps.\nAnswer: -0.00324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -4, 33, -435 in decreasing order.\nAnswer: 33, 6, -1, -4, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 1 + 29901*q**3 - 34*q - 14947*q**3 - 14956*q**3 to f*q**2 + v + t*q + k*q**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 11 = -4*c + 11*j, 3*c + 28 = -5*j. Let z be ((-39)\/9*(0 + 3))\/c. Solve -2*m - z = 4*h - 3*h, -23 = 2*m + 3*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/4 - 13945383*n\/4.\nAnswer: 3*n*(n - 4648461)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-1)*q*q*q))**22*(q**(-4\/11)*q)**5 assuming q is positive.\nAnswer: q**(-449\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(2\/(-5) - 0). Let t be (-38)\/(-14) - ((-4 - 1) + 99\/21). Let h = -3\/5 - -14\/15. What is the nearest to 0.1 in g, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2 (c) -8 (d) 2.9522\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 53, 67, 79, 89?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/8)\/3*3. Let i = -41 + 42. What is the closest to i in -3, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -567, 0.2, -4\/2791 in descending order.\nAnswer: 0.2, -4\/2791, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.32 + -12.68. Let y = -14 - n. Which is the nearest to -2? (a) y (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -889 - -1300. List the prime factors of l.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w**2 - 1. Let a be s(-2). Let l be 1\/2*(a + -9). What is the lowest common multiple of -3*(l + -2) + 3 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 o when three letters picked without replacement from oooooooffofooffooof?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.4, -712?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -9. Suppose -o = -h - 13. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -664.1 + 695. What is z rounded to 0 dps?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -19, 2\/23, 9 in decreasing order.\nAnswer: 9, 2\/23, -0.07, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 10*p**2 - 24*p - 4. What is the remainder when 65 is divided by v(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 3, -5, -1377, -2.\nAnswer: -1377, -5, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -22.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 165?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145589?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f**3 - 546*f**3 - 236*f**3.\nAnswer: -808*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19 and 0.53.\nAnswer: -0.1007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4000 (base 14) to base 11.\nAnswer: -8279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/4 - 26091*q\/2 + 52181\/4 = 0.\nAnswer: 1, 52181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 26*q = -25*q - 746, o + 5*q - 154 = 0. What is the remainder when o is divided by 0 - -12*(-10)\/(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4021 is divided by 115.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Suppose -2*h = -5*d - 23, d - 4 = -3*h - 12. Let c = q - h. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 z when three letters picked without replacement from kbzpzk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(12)*1) - ((-1*sqrt(77))\/sqrt(11) - sqrt(7)) - ((4*sqrt(672) - sqrt(42))\/(-2*sqrt(6)*6 - sqrt(6)))**2.\nAnswer: -1575\/169 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 18 = -3. Calculate the remainder when (1\/2)\/(l\/(-42)) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12583, 25210, 37837, 50464, 63091, 75718?\n\"Answer: 12627*q - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4\/7 + 50002*l**3\/7 + 1548072*l**2\/7 - 242584*l - 3196160\/7 = 0.\nAnswer: -24970, -32, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*29.\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbvtbbgtfbg. What is prob of picking 2 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a second in milliseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3 + 9213*t**2 + 7003677*t - 107138205 = 0?\nAnswer: -1543, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 - 12*p**2 + 4*p - 6. Let x be s(6). Let b(y) = y**2 - 16*y - 36. Let k be b(x). Let h(a) = -a**2 + 2. What is h(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = 8. Suppose 5*j = 3*s - 7 + 3, n = 3*s - 2*j. Suppose 5*h = 3*u + 12, 11 = 4*h - 4*u + s. Calculate the highest common divisor of 21 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -245642636 less than -245642644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1756 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -121.02, 2, -3, 1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, q: 9, t: 6}. Give prob of sequence qqt.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9498 is divided by 4749.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**2 - 2*t - 7. Let s(d) = -d**3 + 5*d**2 - d - 6. What is 4*r(p) - 5*s(p)?\nAnswer: 5*p**3 - p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3328*y**3 - 2*y + 3*y + 3326*y**3 - y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 557328 + 60\/(-48)*-4 + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(432) + 3)**2 - (sqrt(3) + 0 + sqrt(3) + 3 + sqrt(3) + (sqrt(108)*-3)**2).\nAnswer: -219*sqrt(3) + 2922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -18. Let c = -32.2 - g. What is c rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 30244630*r - 30244635.\nAnswer: 5*(r - 1)*(r + 6048927)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -446 + 446.1. Which is the nearest to n? (a) -0.1 (b) -4.9 (c) 3\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-2*sqrt(468))**2 + 4 - (2 + -1*sqrt(13)*-4)) + -5*sqrt(65)\/(sqrt(10)\/sqrt(2)) + sqrt(91)\/sqrt(63) + -5).\nAnswer: -11214 + 52*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 218, 389, 556, 719?\n\"Answer: -2*k**2 + 177*k + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1100000011100 (base 2) to base 4\nAnswer: 1200130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*i + 18 = 0, -3*l + 5*i + 6 = 4*i. Suppose t + 5*g + 16 = 2*t, 2*t + l*g + 33 = 0. Let p(s) = s**3 + 11*s**2 + 14*s + 9. Does 15 divide p(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1234 = -7*k - 471. Is k greater than or equal to 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2518 by -1.\nAnswer: -2518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 1 + 2*k + 3)*(5 + 2 - 3)*(20 - 107 + 0)*(-k + 3*k - 3*k) to j + u*k**2 + y*k and give u.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -71. What is the units digit of 27\/(1 - 0) + 18\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32477 less than 32478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001755120265 to seven decimal places.\nAnswer: 0.0001755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673082 is divided by 4740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 46. Find the common denominator of v\/(72\/(-58)) + (-3)\/(-6) and 33\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 2*f**2 + f**2)*(-10*f**2 + 7 + 6 - 16 - 2*f).\nAnswer: 10*f**4 + 2*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**7\/t))**(7\/8)*(t\/t**(-1))**(-1\/12) assuming t is positive.\nAnswer: t**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3612*y - 7656. Let k(j) = -453*j - 957. Let d(h) = -33*k(h) + 4*m(h). What is the first derivative of d(s) wrt s?\nAnswer: 501","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8479*d**4\/5 - 2467391*d**3\/5 + 4968112*d**2\/5 + 1172*d\/5 = 0.\nAnswer: -293, -2\/8479, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 722943 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**7\/210 - 7*j**6\/60 + 2*j**5\/5 - 1337*j**2. Let f(o) = 0. Calculate o.\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -379, 14, 4, -5, 2, 1696 in ascending order.\nAnswer: -379, -5, 1, 2, 4, 14, 1696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -1)*(2 + 1). Let v be (-4)\/(-8) - z\/(-8). Let o = 0.08 + -4.08. What is the nearest to -0.1 in o, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 3. Let u = 5 + -6. Sort u, p, 0 in descending order.\nAnswer: p, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**3 - 144*i**2 - 47*i - 16. Let d(v) = -3*v**3 - 120*v**2 - 48*v - 16. Let r(b) = -5*d(b) + 4*u(b). What is r(26)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 less than 1.488?\nAnswer: 150.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/((1\/(-2))\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/65)\/s)**(-3\/2) assuming s is positive.\nAnswer: s**(189\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -4\/3, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(208) + 2)**2 + 2*(sqrt(208) + 0)**2 + -2)*3.\nAnswer: 24*sqrt(13) + 1869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3517318 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4326706500 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58049764453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 equal to 172910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854563470.\nAnswer: 2, 3, 5, 37, 193, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**(-2\/5)*f**(-5\/3)*f*f**(-1\/19)*f*f\/(f**21*f*f)*f assuming f is positive.\nAnswer: f**(-5449\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyksyscsssqcscqq. Give prob of picking 1 s, 1 k, and 1 c.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 12*k + 38. Let c be t(-3). Solve 5*m - 13 = -3*q + c, -q + m - 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 43?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/15, -21, -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbbnanwewe. Give prob of sequence nea.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 27*i**2 - 2*i. Let x be j(1). Suppose 2*t + x = 7*t. Suppose t*f + b = 163, -2*b + 119 = 5*f - 42. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/3 - 58876*y\/3 - 58874\/3 = 0 for y.\nAnswer: -29437, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 27 = -3*q. Let p = q - -34. What is the smallest common multiple of p and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -434015 (base 7) to base 4.\nAnswer: -102200213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 3217840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 21 = 2*u - 5*q, -2*q = -4*u + 18. Suppose -5*h - 2*a - a = 16, a + 12 = -u*h. Suppose 3 = 2*n + 11. Which is greater: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -645 - -1029. Let a = -60 + 63. Suppose v - 91 = a*b - 7*b, 4*v - 4*b - w = 0. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppz when three letters picked without replacement from {z: 2, p: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2. Let z(t) = -13*t**2 - 5*t. Let b = -35 - -30. Let p(a) = 72*a**2 + 27*a. Let k(c) = b*p(c) - 27*z(c). Determine j(k(s)).\nAnswer: -81*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1616*p*q**3*w**2 - 120*p*q**2*w**2 + 2*p*q - 81*p*w**2 - 2*p - 57*q**3*w**2 - 2*q**3 wrt q.\nAnswer: 9696*p*w**2 - 342*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x**2 - 2*x + 118. What are the prime factors of f(0)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1314259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5256*p + 1472 = -5243*p + 10467*p for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - 3*sqrt(6)*4)\/(-1*sqrt(288)).\nAnswer: 11*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17965.47627 nanoseconds to weeks.\nAnswer: 0.000000000029704821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1290 = 14*l - 180. Calculate the remainder when l is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(22)\/sqrt(176) + sqrt(2) + 3) - (sqrt(56)\/sqrt(7) + (2*sqrt(8))\/sqrt(4)).\nAnswer: -21*sqrt(2)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -155, -2\/7, -9.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 620.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 3, t: 2, n: 7, b: 1, m: 5}. What is prob of sequence npp?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.233? (a) 0.01 (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 6 - 1)*(-1 + 1 + 1 + (-6 + 1 + 3)*(-25 - 11 + 0))*(3 - 3 - y) as g*y + c and give g.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 5. Let c = -76 - -132. Suppose -6*p - c = -2*p. Let z be (p\/(-4) + 3\/(-2))*-3. Determine r(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 557429590?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*t + 760 = 174*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 - 108*g**2 + 184*g - 98. What is the tens digit of s(56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 5. Determine u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 = 3*f - 2, 4*n = -4*f - 12. Let l = -52\/9 + 40\/9. Let r be (0 + -1)*(-1)\/(-4). Which is the nearest to r? (a) f (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -2*g**3\/57 + 693*g**2\/19 - 1384*g\/19 - 117. Find s, given that v(s) = 0.\nAnswer: 1, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82900 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 - -103?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552265 is divided by 316.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = -0*f. Suppose 0 = d + t - 20 - 14, 160 = 4*d - f*t. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3287?\nAnswer: 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2. Let n(v) be the first derivative of 3 + 0*v - 5\/2*v**2. Give n(j(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q - 79. Let p be g(18). Find the second derivative of -p*c**2 - 38*c**2 + 8*c - c - 4*c**2 wrt c.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 47*q**3 - 5*q - q + 11*q.\nAnswer: -47*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 7. Calculate c(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16815, 227 in ascending order.\nAnswer: -5, 227, 16815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.8 - 34.946. Let d = f - -0.046. Which is the closest to d? (a) 2\/11 (b) -0.14 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/10 (b) 1 (c) 0 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + (0 - 3))\/(-1). Suppose 4*j - 2*r = 168, 2*r + 128 = 3*j - a*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10805 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 7*i + 3*i)*(-1 + 2 + 4).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -15. Let d(x) = 12*x**2 + 2*x. Is 14 a factor of d(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 13*t + 268. What are the prime factors of s(-27)?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from qissih?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8000 - -7967. Is -173 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (357\/(-153))\/(7\/(-3))*-49?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 7*q**2 + 3 - q - 20*q**4 + 22*q**4 as j*q**3 + v*q + i + u*q**4 + r*q**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 35, 69, 117, 179, 255, 345?\n\"Answer: 7*d**2 - d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**4 - 5157*g**3 + 1352301*g**2 + 13994757*g + 12637296 = 0?\nAnswer: -9, -1, 336, 1393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 13 = -5*l + 3, 2 = 3*s - 5*l. Let r = 7.32 - 11.32. Sort s, r, -5, 1 in ascending order.\nAnswer: -5, r, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14844?\nAnswer: 2, 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190472118 and 4908.\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178309669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 763\/1039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120377.035 rounded to the nearest ten thousand?\nAnswer: 1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25564\/5478*27\/7?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136206 and 30268.\nAnswer: 272412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 11*m**2 - m**3 - 13 - m**2 + 14*m + m**2 - 5. Let d be x(12). Suppose -3*k - 3*i + 420 = 0, -3*k + 2*i + 424 = d*i. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -1101003220?\nAnswer: 1101003141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 1704.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 451 + -447. Suppose -y*b = 22*s - 18*s - 3776, -5*b - 2*s = -4720. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -680 divided by -85?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3643360.78999991 - 3643361. Let a = z + 0.21. Round a to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, t: 2, o: 2}. Give prob of sequence tco.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/15))**(-21)\/(y**(-1\/4))**(-33) assuming y is positive.\nAnswer: y**(-109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*z - 7 = 5, s - z - 9 = 0. Solve g - s*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10*(1392\/15 + 396\/55 + -7) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02795 - -0.27205. Which is the fourth smallest value? (a) 2\/5 (b) -4 (c) y (d) -5 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.2, -5, 1 in descending order.\nAnswer: 1, 1\/3, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:33 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 296*q + 10309. Give w(-35).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7628 * -4.36.\nAnswer: -33258.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -51239, -42, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3224 (base 5) to base 16\nAnswer: -1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3*v**2 + 0*v + 1\/2*v**5 + 4*v**4 + 13\/2*v**3.\nAnswer: v**2*(v + 1)**2*(v + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -12*i - 129. Let g be (1*(-21 - -8))\/1. What is the tens digit of v(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p - 10 = 28*p. Let m be (-68)\/5 - (-3)\/p. Let b = 17 - m. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 + (2 - 1) - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/171 and 97\/6?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 633\/44900 or 0?\nAnswer: 633\/44900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2*w + 2)*(4 + 0 - 2) - 205*w + 54*w - 256*w)*(w - 2*w - 2*w).\nAnswer: 1233*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 14*a + 703. Let r be o(-50). Solve -11 + r = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -29 - 37 - (1 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*x - 19, 5 + 0 = 5*o - 2*x. Which is the biggest value? (a) 2\/11 (b) -26 (c) o (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**5)**(-3\/25)\/(z**(2\/3)\/(z*z*z**(-5\/12))) assuming z is positive.\nAnswer: z**(419\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -12*m**2 + 260*m - 17. Let u(i) = -4*i**2 + 87*i - 5. What is 7*u(k) - 2*w(k)?\nAnswer: -4*k**2 + 89*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 4*z**2 + 1. Let t be l(4). Which is the nearest to 1? (a) t (b) -0.2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12521.\nAnswer: 19, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {j: 3, b: 6, w: 2, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*c**4 - 139*c**2 + 105*c**3 + 40*c + 167*c**2 + 87*c**2 - 5*c**5 = 0. What is c?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.46 + 3.54. Let t = 142 + -143. What is the smallest value in t, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2403 and 1335?\nAnswer: 12015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p + 16 - 16. Is i(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7817.1858083 - -3.4.\nAnswer: -7813.7858083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-66))\/(-1*(-2)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*t - 1989 + 6571 = -12842 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 7*n = 0. Is (22 + 360)\/(n + (0 - -2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -19. What is the nearest to w in -2\/9, -0.1, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 = 7. Let r(x) = 17*x**2 + 3*x + 3. Let t be r(-2). What is the least common multiple of a and t\/9 - 4\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let u(z) = -3*z**2 - 1916. Calculate m(u(c)).\nAnswer: -3*c**2 - 1916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3. Let y(i) = 6*i + 18. Let a(s) = 6*k(s) - y(s). Let b(x) be the second derivative of x**4\/12 - x. Determine b(a(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(847) - (sqrt(847) - (-1 + sqrt(847) + 0))) + 1 + 5).\nAnswer: -22*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-945)\/42)\/((-5)\/((-1720)\/(-3))) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 346439117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 4:51 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + r + 0*r)*(r - r + 3*r) + 143*r**2 + 16*r**2 + 71*r**2 + r to the form g*r + v*r**2 + d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72983?\nAnswer: 59, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t - 51*t = 5*j - 35, -17*j + t = -131 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 24\/5, -0.1, -2\/11, -6859, -4 in descending order.\nAnswer: 24\/5, -0.1, -2\/11, -4, -6859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4 = 2*m - 4*g, -4*m = 3*g - 14. Let k be 536 + -5 + 2 + m. Suppose 11*f - k - 5174 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8970299 divided by 1579?\nAnswer: 5681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Let q be 0\/18 + (-1)\/9. Which is the second smallest value? (a) q (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16145272 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from cjawsjawsjjjwj?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -518, -1018, -1518, -2018, -2518, -3018?\n\"Answer: -500*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -681? (a) 1\/3 (b) 0.4 (c) 3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7 + -2.2. What is the fourth biggest value in y, -3, -0.3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/18))**(1\/18)\/((a**(-4\/17)\/a)\/a*a*a)**(-1\/8))**7 assuming a is positive.\nAnswer: a**(-1253\/5508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)\/(v**(-4\/23)\/v) assuming v is positive.\nAnswer: v**(27\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q*q**(-1\/8)))\/q*q)\/q)\/q*q*q\/((q*q\/(q*q\/(q*(q\/(q**(2\/9)*q))\/q*q)*q))\/q)*q**(-6)*((q*q*q**4\/q*q*q)\/q)\/q)**(4\/3) assuming q is positive.\nAnswer: q**(25\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(1808\/24 - 74).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**3 + 72*q**2 - 3*q. What is h(-12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 32170123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 12. Which is the second biggest value? (a) -0.5 (b) t (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + -70 + 1 + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1150)\/414)\/((-4)\/72).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c + 79. Let t be u(13). Suppose 419*b - t = 414*b. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 p, and 2 u when four letters picked without replacement from {a: 2, u: 7, p: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 9*c - 4*c - 15 = 0, 0 = b - 4*c - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfk when three letters picked without replacement from {f: 1, j: 2, k: 5, e: 1, y: 7, t: 1}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-2)\/(-12)*(0 + 78). Let c be (-4)\/g - 132\/(-13). Solve o + c = 6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10902 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1159299 - 7453627.\nAnswer: -8612926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 295.09116 months?\nAnswer: 2.459093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5081 + 5085. Let p(q) = -13*q + 8. Give p(u).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (993\/(-27804)*126\/(-4))\/(1\/(-8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 13. Let m be ((-12)\/(-18))\/((-2)\/g). Suppose l + m - 6 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 7*g**2 - 36*g + 27. What is r(-9)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 40.3, -2, -1 in descending order.\nAnswer: 40.3, 1\/2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 3*l**2 - 2*l - 2. Let f be a(2). Calculate the remainder when 17 is divided by -5*(f + 3 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*2*3*(4 + 1 + (sqrt(4032) + -1 - sqrt(4032))).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9793, -39167, -88133, -156697, -244865, -352643?\n\"Answer: -l**3 - 9790*l**2 + 3*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5*l\/l**(1\/5)*l**6\/(l*l\/l**(-1\/3)))**(13\/4) assuming l is positive.\nAnswer: l**(923\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4, 9 = 2*h + 4*n - 3. Let g(x) be the second derivative of 0 - 5\/2*x**2 + x + 1\/6*x**3. Calculate g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 7 + 4 - 784\/128. What is the nearest to 2 in -200, k, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (0\/2)\/2. Suppose 39 = 5*d + a. Let k(w) = w**3 - 2*w**2 - 2*w + 4. Let i be k(3). Calculate the greatest common divisor of d and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 45801882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-8)*712\/(-3). Let s(n) = -3*n - 5. Let m be s(-4). Suppose m*d - t = 3*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/1009297 and 67\/2018594?\nAnswer: 2018594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - t - t + 1)*(-34 + 10 - 1)*(-4*t**2 - t**2 + 4*t**2) to k*t**3 + o*t + w*t**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Suppose 0 = i*o + 20 - 8. Let a = 3 + o. Is a not equal to -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**4\/4 - 2037*h**3\/2 - 147147*h**2\/4 + 614313*h\/2 = 0.\nAnswer: -42, 0, 7, 1393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-1) + (-1)\/(-1). Suppose 3*c - f*c = -4. Suppose -c*u = 38 - 94. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-14)*(-1)\/(-6). Let p = 140.861 - -0.139. Let r = 138 - p. What is the smallest value in -1, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1288539789 rounded to 6 dps?\nAnswer: 0.128854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*l*m**2 - 7603*l*m + 2*m**2 + 104629 wrt l.\nAnswer: 7*m**2 - 7603*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9748 is divided by 106.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -46721285415.\nAnswer: 46721285419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g. Let u(p) = 275*p**2. Determine c(u(x)).\nAnswer: -825*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6495*r - 4952*r + 1089175 = 18*r for r.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 498 and 358675204?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/70*(-1)\/1*1110\/74?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2506394 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 0*a - 1 + 1\/2*a**2 - 1\/8*a**4 + 0*a**3. Let i(z) be the second derivative of l(z). Let h(u) = -u. Determine i(h(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8102 (base 14) to base 15\nAnswer: 686a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 484, 529, 606, 715, 856, 1029?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -5*q**3\/6 + 63*q**2\/2 + 216*q - 2. What is y(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -762*k**2. Let g(v) = -8*v + 63. Let f be g(6). Let q(j) = -17*j - f*j - 19*j + 75*j - 25*j. Give a(q(x)).\nAnswer: -762*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2659909*w**2 + 2496902.\nAnswer: 5319818*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121230122 (base 4) to base 16.\nAnswer: -19b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4*z - 23222 = 3*f - 23221, 5*z - 5 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 38. Let g = 154 - 67. Let h = g - 63. Solve 3*c + 3*t - 18 = k, 5*c = 4*t - 7*t + h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 2145.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1135*f**5 + 9*f**2 - 75*f wrt f.\nAnswer: 68100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 2*j + 1, -24*s + 5*j = -15*s - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 861 = -f, 3*c + 4311 = -6*f + 11*f. Is 32 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n**2 + 4*n + 1. Let v be j(-3). Let p(d) = -d - 1. Let b be p(-3). Suppose 0 = -b*t + v - 9. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302561?\nAnswer: 7, 43223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:11 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -422 - -422.3. What is the biggest value in 7, z, 0, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 2*g + 22, -2*g - 1148*q + 1153*q + 10 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 43*g**2 - 88*g - 2. Give y(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -120021 (base 6) to base 2\nAnswer: -10100010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10579946 >= -10579947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6662 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -28*o. Let r(s) = 3*s**2 - s - 212. What is d(r(q))?\nAnswer: -84*q**2 + 28*q + 5936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytyttty. Give prob of picking 2 y and 2 t.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j - 1392. Let i be j\/(-26) + (-10)\/(-65). Suppose -i = -3*n + 3. What is the remainder when 25 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 266022 (base 10) to base 7\nAnswer: 2155401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61 + 470483?\nAnswer: 470422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-21))\/((216\/3150)\/(336\/40)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138.17961 + -0.4.\nAnswer: -138.57961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -2*n + 13, -11 = 29*n - 33*n + p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (139\/2)\/((-2)\/(-68)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(216) + sqrt(216) + sqrt(216))\/(sqrt(1200)*-1).\nAnswer: 3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 180\/24)*(-4)\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = s - 18. Let j = -13 + s. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23382 to three dps.\nAnswer: -0.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0492 and 0.3.\nAnswer: 0.01476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 3:55 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -229\/3, 2, -1, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 4, s: 1, g: 8, k: 1, z: 1}. Give prob of sequence ksz.\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 22*u**2 - 129*u + 2503. Calculate the remainder when 537 is divided by t(23).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**3 - 5*l - 18. Let m(g) = 5*g**3 + 4*g + 17. Give -5*m(u) - 4*v(u).\nAnswer: -u**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6565373027.\nAnswer: 6565373027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:43 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w + 5. Let i be ((-8)\/32)\/(44\/16 - 3). Let k(y) = 3*y - 2. Let g be k(i). Let a(d) = -1. Give g*b(s) + 6*a(s).\nAnswer: -4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 1. Let m(t) = -2*t**2 + 5*t - 14. Let g(l) = 15*f(l) - 3*m(l). What is the derivative of g(p) wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 517957.9 nanometers?\nAnswer: 0.05179579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/15)\/(-3*(-4)\/(-1314)). Let o be -4 + 6 + 55*2. Let a = o + n. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.09, 10, -15\/11, -1\/8 in decreasing order.\nAnswer: 10, 0.09, -1\/8, -15\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 134.537.\nAnswer: 133.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-8) - 20\/8. Let w = 3 + m. Sort 0, -1, w in descending order.\nAnswer: 0, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 7*v - 16. Suppose -23 = 5*h + 22. Let g be q(h). Factor 4 - 14*k - 10*k**2 - g - 7 - 1 - 2*k**3.\nAnswer: -2*(k + 1)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12533639, 12533647, 12533655, 12533663, 12533671?\n\"Answer: 8*p + 12533631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**4 - 6*h**4 + h**5 + 5*h**5 - 7*h**5 + 10*h**5 + (-h**3 - 4*h**3 + 3*h**3)*(-h**2 - 3*h + 3*h).\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.063119326 + -8.063120076. Let r = -22 + 14. Let l = x - r. Round l to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y - 2*y**2)*(2 - 5 + 4 + (-1 + 3 - 4)*(-1 + 3 - 1) + 1 + 2 - 1) to the form i*y**2 + w*y + b and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24089 rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7\/70*5*-2*7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 19*b**7\/210 + 5*b**3\/2 - 10*b**2. Differentiate n(r) wrt r.\nAnswer: 76*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380196.8 rounded to the nearest ten thousand?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 2\/3, -2\/11 in decreasing order.\nAnswer: 2\/3, 0.05, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146308 is divided by 234.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44250 - -44250.039928. What is i rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 4. Suppose -x + 56 = c*s, 0 = 3*s + 5*x - 19 - 6. Suppose r = 5*q + 16 + 37, -3*q = s. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12484 - -12495. Solve 2*j = o*j - 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.22 - -1.65. Let u = q + -0.49. Let j = -0.9 - 0.1. What is the closest to j in -0.3, -4, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 473 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqz. What is prob of picking 1 z and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 19 - 30 = 4*i, 2*i - 5*h + 23 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c - 46. Let i be a(10). Let z = 0 - 2. Sort -1, z, 1, i in descending order.\nAnswer: i, 1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8318.002 rounded to the nearest 100?\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1110\/6041 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, -2, 9, 40, 97, 186, 313, 484?\n\"Answer: k**3 + k**2 - 13*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.802*-9.38.\nAnswer: 16.90276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111091857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 37*x - 4. What is i(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*i - 4*d = 265*i - 5, -2*d + 15 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/28 and -31\/20362.\nAnswer: 285068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 2, b: 2, p: 1, a: 3, y: 3}. Give prob of sequence aiai.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63824543*j**4 - 132474347?\nAnswer: -255298172*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42388 (base 10) in base 4?\nAnswer: -22112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18281 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -20 - (-9)\/21.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -87 + (-15 - -50) + 55\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 3*m**2 - 3*m - 3. What is n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/2*j**3 - 3 + 21\/4*j**4 + 15*j - 63\/4*j**2 = 0. What is j?\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 0.8. Let p = -1.3 - 3.7. Which is the nearest to 1\/3? (a) o (b) 1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/12 + n. Let m(w) = w**3 - 2*w**2 + 3*w + 1. Let k(x) = m(x) - 3*u(x). Determine k(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 50 = 4*b, -18428 + 18443 = 2*b + a for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 5, 0, 3 in decreasing order.\nAnswer: 5, 3, 0, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 3:36 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6801\/4 + -6803\/4. What is the second biggest value in d, 1, 1\/2, -2\/9, 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-154) - -16*2\/44.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -277 or -276?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 100010101001 (base 2) to base 16\nAnswer: 8a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-8))\/(-5) + -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*d**2 - 537*d**2 + 248*d**2.\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 1394960?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 141675896.\nAnswer: -70837948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*x + 61*x + 119 = 0. Is x smaller than 35\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -134?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1732 and 2484?\nAnswer: 1075572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 - h**2)*(h + 0*h - 2*h)*((h - 1 + 1)*(1 - 4 + 2) + (3*h + h - 6*h)*(0 + 1 + 0) - 19*h + 62 - 62).\nAnswer: -22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -123.013 * 1.457\nAnswer: -179.229941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37405280 or 37405286?\nAnswer: 37405280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 1\/10 (c) -0.08 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6138.87698051 - -6134.77698. Let l = -58.1 + 54. Let x = l - y. Round x to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, g: 5}. What is prob of picking 3 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*(sqrt(720) + -2 + -2) - (2*(-2 + sqrt(720)) - (sqrt(720) - (2 + -2 + sqrt(720)))))**2.\nAnswer: -157920 + 17280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 8\/10 - (-692)\/10. Suppose -13 = 4*a - c. Calculate the remainder when 27 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*i**4 - 13*i**3 + 13*i**3 + (0 + 0 - 2*i**3)*(i - 3*i - 5*i) + 25*i**3 - 7*i**4 - 25*i**3 as r*i**3 + g*i**4 + y*i**2 + b + j*i and give g.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112417, 112418, 112419, 112420?\nAnswer: 112421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**2\/2 + 21*y - 1. Let h be s(11). What is the greatest common factor of h and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u + 55 - 73. Let r(n) be the second derivative of -5*n**4\/12 + n**3\/3 - n**2 - n. Let s(z) = -51*z**2 + 21*z - 21. Give u*s(i) - 21*r(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/54 + a**3\/27 + 20*a. Factor d(p).\nAnswer: 2*p*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 184*q**3*y**3 + 2*q**2*y**2 + 12*q**2 + 7*y**3 wrt q?\nAnswer: 1104*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + (135 - 89) - 49.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) 0.7 (c) -5\/84 (d) -12 (e) -5 (f) 2 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, 13, 0.3, 2\/13, 19, 0.2.\nAnswer: 2\/13, 0.2, 0.3, 13, 19, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**(-43) assuming a is positive.\nAnswer: a**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) -0.7 (c) 5 (d) -85 (e) -3\/7 (f) 10 (g) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.4 + -0.4. What is the nearest to 1\/3 in 3, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100000111 (base 2) in base 15?\nAnswer: -5ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3\/7 - 3267816*j**2\/7 + 889885117488*j\/7 = 0. What is j?\nAnswer: 0, 544636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 4. Let j be u(-5). Let f be (25\/(-20))\/(j\/(-4)). Suppose 5*y - 35 = -f*i, -3*y + 0*y = 5*i - 41. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1544*v**4 - 368*v**3 + 357*v**2 + v + 16.\nAnswer: 37056*v - 2208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 8 + 1 + -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0 (c) -13\/4 (d) -3 (e) -24403\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m - 15. Let q(w) = 675 - 402 - 273 - w. Give -6*q(p) + t(p).\nAnswer: -p - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Let t = -1531.9 - -1531.7. Which is the second smallest value? (a) 3 (b) m (c) -2\/7 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1972*i + 566*i - 106*i + 843*i + 1288*i)*(28*i - 28*i - i**2).\nAnswer: -4563*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1168, -2339, -3510, -4681, -5852?\n\"Answer: -1171*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = a. Solve -15 = 5*f + 5*x, -2*f + 5*x + a = -0*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45555?\nAnswer: 3, 5, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 17*x**2 - 2*x + 6. Determine w(-2).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f + 23. Suppose 3*y + r = 13, -106*r = 5*y - 104*r - 24. Let w(x) = 4*x - 12. Determine y*p(a) + 5*w(a).\nAnswer: 2*a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 2*l**2 - l - 2. Let n be z(-2). Suppose 14 = -4*p + 6*p - 4*b, -2*p + b + n = 0. Factor -5*r + 3*r - 2*r**p + 4*r.\nAnswer: -2*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (172 - 64) + -71 - 9?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 24362?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 590380, 1180759, 1771138, 2361517, 2951896?\n\"Answer: 590379*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 12*d**2 + 18. Give o(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32327 is divided by 1114?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 - 6. List the prime factors of m(5).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05419785, -3\/19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -775 + c?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -9*j - 2. Let k(r) = 1250*r + 280. Let t(v) = -700*h(v) - 5*k(v). Let l(x) = -11*x + 3. Determine t(l(g)).\nAnswer: -550*g + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1496 divided by -6\nAnswer: -748\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89018.89 nanograms to micrograms.\nAnswer: 89.01889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 2. Let w be 1\/(-1 - 4\/(-6)). Calculate s(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + 2*c**3 + c**2 + 0*c**2 + 3 + (6*c**3 + 61*c**2 - 61*c**2)*(-3 - 2 + 1).\nAnswer: -22*c**3 + 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 v, and 1 p when three letters picked without replacement from {n: 1, s: 1, p: 1, v: 1, i: 1, c: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -5*z**7\/42 - 5*z**4\/4 + 2*z. What is the third derivative of s(c) wrt c?\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 30 = -2*b - 5*p, -2*b + p = -12. Let o be (-3)\/6 - 2*(-22)\/8. Solve 0 = -v + 4*s + 1 - 9, o*v = 3*s - b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x**2 + 5*x - 8. Suppose -d + 28 = 6*d. Suppose -4*r + 8 = 2*o, 3*o - d*r + 5*r = 17. Let k(n) = 12*n**2 - 9*n + 15. Calculate o*k(z) + 11*j(z).\nAnswer: 6*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpppuuvypukhvkk. Give prob of picking 1 y, 1 v, and 1 k.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4624620 divided by 490\nAnswer: 9438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 220 - -2?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*t + 1208, 4*t = 4*p - 8*p + 2408. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1 + (-2)\/(-6) + 14076\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 862 in 1\/5, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 11*v**2 + 29*v + 44. Determine h(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 6:07 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = 58565*s - 58534*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359091000 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 280 = -7*s. What are the prime factors of 3*(-9)\/((-108)\/s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 32?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((4\/(-12)*3)\/5))\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o**3 - 28*o**2 - 35*o + 16. Let t(p) = 16*p**3 + 55*p**2 + 71*p - 30. Let u(y) = 7*d(y) + 3*t(y). What are the prime factors of u(-30)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6 = 3*v + 4*x, 3 = v + 3*x. Suppose 5*y + v*s - 93 = 0, 5*s - 4 + 17 = y. Let n be (3\/20)\/(y\/(-15)). Is -1 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 15*p + 32979. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**3\/3 + 9*f**2\/2 - 4*f - 3. What is the units digit of j(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 - u. Let r be j(1). Suppose -c = -3*i - r, c - 1 = 2*c - 5*i. Let h(m) = 7*m - 4*m - m. Determine h(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -33*f - 5. Let g(l) = -20*l + 65. Let r be g(3). Let d(v) = -380*v - 57. Determine r*d(x) - 57*i(x).\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 21497 (b) -2\/11 (c) 6\/5 (d) 0 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**2\/2 - 11. Let m(p) = 18*p. What is m(d(j))?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 634 - 431. List the prime factors of b.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0562 - -1.0562. What is the biggest value in -3, o, -1\/5, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 112868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/((-6)\/4 - -2). Suppose 18 = -8*w + r*w. What is the hundreds digit of -442*(-3*w\/6)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p + 40 = 0. Let o be 5*-1*12\/p. Find the second derivative of -17*j**3 + 3*j**5 - o*j + 17*j**3 wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318 + 345 - (9 - -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12180 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 4. Let o be b(4). Suppose -12 = l - 4*a, 1 = 2*l - 3*a - 0. Let f be (6\/l)\/((-2)\/(-8)). Put -2, o, f in decreasing order.\nAnswer: f, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v**2 + 11*v - 333. What is u(15)?\nAnswer: 1632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122964234 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -6044276.\nAnswer: 1\/1511069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.77 from 22.\nAnswer: 24.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 1:56 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 13. Suppose -d = -c + 3. Let p be (3\/4)\/(c\/8). Sort p, 2, -1 in descending order.\nAnswer: 2, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 130, 139, -3 in descending order.\nAnswer: 139, 130, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.3 at least as big as 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -11 + -2 - (-7 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 5:46 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*d - 1, -2*x + 70 = 2*d. Let i = -2 + 5. What is the remainder when x is divided by 1\/3*i - -17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11195*j**3 + 26*j**2 + 2*j - 177 wrt j.\nAnswer: -67170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004262049.\nAnswer: 7, 97, 1479031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three fifths of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6288 and 2341232?\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 13*k**2 + 3*k + 8. Let q(w) = 12*w**2 + 3*w + 7. Let o(f) = -2*a(f) + 3*q(f). Let r be o(-2). Which is bigger: r or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13\/2 - 59\/10. Let p = -72 + 77. Which is the second biggest value? (a) p (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(192))\/sqrt(8) - sqrt(24) - sqrt(48)\/sqrt(2)*3)\/(sqrt(36)\/(sqrt(18)\/(sqrt(24)\/sqrt(4) + sqrt(6)))) + 4 + 0.\nAnswer: -3*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*o**5 - 3*o**4 - 169*o**2 wrt o.\nAnswer: 420*o**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-6))\/(-1)*(39 + -1). Which is smaller: 6 or b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p + 2 = 0. Let n be (p\/(-2))\/(2\/24). Calculate the smallest common multiple of 8 and (-46)\/n - (-4)\/(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -37. Let w be (1\/((-10)\/(-8)))\/(n\/60). Solve -w*h = h - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5387740618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**6\/60 + 7*g**5\/60 + 3*g**4\/4 + g**3\/3 - 24*g**2. Let f be z(-6). Let a = 3627 - f. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/52 - (-4 - -4)) + 2 + (-1330)\/1638?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 3*h**2 + 1091*h**3 + 17905*h**3.\nAnswer: 18996*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f**3\/3 - 60424*f**2\/9 - 8056*f\/9.\nAnswer: -2*f*(f + 2014)*(15*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Suppose -2*r + 2*a = -14, -2*r + x*a + 11 = -12. Solve -4*z - 3*l - 22 = -0*l, 3*z = -r*l - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozabahoaophabzbaaoab. What is prob of picking 1 a and 1 o?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**7\/105 - s**6\/60 + s**5\/60 - s**3 - 3. Let f(v) be the third derivative of l(v). Determine g so that f(g) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 12. Let h be r(-14). Let q(w) = h - 1 + 57*w + 96*w - 16*w. What is the units digit of q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 2*n**5\/15 + 15*n**4\/4 + 88*n**3\/3 + 121*n**2\/6 + 41. Factor r(l).\nAnswer: l*(l + 11)**2*(2*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + k + (-2 + k + 2)*(7 + 1 - 3) + 3*k + 4*k - 5*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + 3*sqrt(143)*6)\/((3*sqrt(11) + sqrt(11))*2 - sqrt(11)))**2.\nAnswer: 4693\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*t = 4*o - 304*t - 1, -6*t + 14 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576917 is divided by 576251?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.475698 rounded to three decimal places?\nAnswer: -0.476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j + 4. Let g be u(-1). Suppose 3*s + 19 - 25 = g. What is the second derivative of -4*i + 32 - 32 - 13*i + 18*i**s wrt i?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1574, -1575, -1572, -1565, -1554?\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**5\/140 - z**4\/21 + 5*z**3\/42 - z**2\/7 - 11*z. Find w, given that a(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 9542.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:15 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 884, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4193*-0.05\nAnswer: 209.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 15*r - 429 = -42*r + 746 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -4542?\nAnswer: -5\/4542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -262 - -404. Suppose -a = -3*k + 26. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1505, 4021, 6545, 9077?\nAnswer: 11617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 4*r - 16 + 52, 21 = -s - 5*r. Suppose c = 3*c - s. What is the lowest common multiple of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-27\/2))**43\/((t**(-1\/3)*t*t)\/t**(-2\/5)))**(20\/9) assuming t is positive.\nAnswer: t**(-34954\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (1 - -1) + -1. Suppose 3*u + 27 = r*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -564*z**2 + 1694*z - 6.\nAnswer: -2*(z - 3)*(282*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 115715 divided by 4?\nAnswer: 115715\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from ziiafafaiizaqg.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 744 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3*q - 15 = 0, 15*q = 4*z + 11*q - 36 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7340, -7352, -7380, -7424?\nAnswer: -7484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*u + 82*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 7:55 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by (-21)\/(-14) + 106\/4.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -827*m + 55. What is the tens digit of q(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 24176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruu when three letters picked without replacement from {r: 8, u: 4, w: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 10:17 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16283 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1332681*z**5 + 36*z**2 - 457*z - 16?\nAnswer: 79960860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 10*f - 120. Suppose f*x - 19461 = 11*x. Let c = x + -39261. What is c rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2302\/(-7)*2\/4. Let t = m - -164. Find the common denominator of (-636)\/(-530) + -367*(-2)\/(-20) and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2789009*w - w**2 - 37*w**3 - 2789009*w.\nAnswer: -37*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 117499 - -27\nAnswer: 117526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Let c = 6 + -3. Suppose -5*n = -5*s + 25, 3*s + 7*n + 6 = c*n. Let p be w(s). Solve -p*q + 3*q = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.015853028*-1.1\nAnswer: 0.0174383308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10024 greater than 10025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 17 - (3 + -3 + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8187.621 nanometers to kilometers.\nAnswer: 0.000000008187621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512*u**2 - u**3 + 220*u**2 + 168*u**2 + 120*u**2.\nAnswer: -u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(1*(-1)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 596 = 200. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -2\/11, -4, 19, 3705?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**6\/120 - s**4\/12 - s**3\/3 - 6*s**2. Let a be z(-2). Is a >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 26 + 34. Let p be -72*(3 - (-145)\/(-15)). Suppose p + 1370 = a*o. Calculate the greatest common factor of 74 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + d**2 + d. Let x be (-10)\/30*(7 - 4). Let c be (0 - -3)*(-4)\/6*x. Let l(z) = 2*z**2 + 7*z. Determine c*v(y) - l(y).\nAnswer: -2*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**3 - 2*z**2 - 2. Let x(l) = -29*l**3 + 9*l**2 + l + 8. Give -9*v(c) - 2*x(c).\nAnswer: -5*c**3 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 < 331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/3, 5, -60\/7 in increasing order.\nAnswer: -60\/7, -22\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11513*z = 11487*z + 260 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/2 + (-15)\/(-3). Suppose -w = 5*b - 51. Suppose -b*x - 4*m = -4*x - 30, 0 = -3*x - 2*m + 18. Solve -2*g + 3*i - 6 = 2, -5*g - x = -4*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012002 (base 3) to base 16.\nAnswer: 63b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3987.555 rounded to the nearest one hundred?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 2276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*p + 13830 + 1302. Calculate the greatest common factor of 12 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109 + -103. Let b(a) = -4*a**2 - 6*a + 9. Let s(k) = -k**2 - k + 1. What is j*s(u) - b(u)?\nAnswer: -2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107 and 72709.2?\nAnswer: 7779884.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 2*q**3.\nAnswer: q**3*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + (-3)\/2)*36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19097*f**2*i**3 - 5*f*i**3 - 535*i**3 wrt f?\nAnswer: 38194*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13617 - 0.7\nAnswer: -13617.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2*(-7 - 199573\/(-22))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218009 - -315880. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 350917819?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*f**2 + 6 - f**2 - 4 - f**2 to h + z*f**2 + g*f and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 10*w**2 - 2*w - 5. What is the tens digit of d(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 262*(87\/30 + -3). Let u = a - -139\/5. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 - 3*j**2 - 2. Let z = 5562 - 5559. Let l(q) = -2*q**3 - 4*q**2 - 2. Let i = 6 - 10. Calculate i*w(b) + z*l(b).\nAnswer: 2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -13 - (41 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 5*j - 6. Let b(i) = i**2 - i - 1. Let g(o) = 5*b(o) - y(o). Let f be g(3). What is the units digit of 2\/11 - f\/(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(76)*-6.\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 453291?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 4*a + 29, -a = 4*b - 6*a + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -197 - -316. Let m = d - -104. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + -12 - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaqqqaaaaaqaaqaaaaa. Give prob of picking 1 a and 2 q.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 3315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 less than -1.5?\nAnswer: -1203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 2*j - 1. Let f be w(3). Let k be (f - 0) + -2 + 10. Suppose -190 = 8*b - k*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173914859 + -75.4569?\nAnswer: -75.282985141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 840, 862, 884, 906, 928?\n\"Answer: 22*p + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r\/((r*r*r\/(r*r\/(r*r\/r**(1\/7))*r)*r)\/r*r))\/r)*r)\/r**(-3\/2)*(r*r**(-1\/2)\/r*r)**(-2))**22 assuming r is positive.\nAnswer: r**(671\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.09, 5, -2\/11, 3836?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 9, -h + 4*l = 14 - 53 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -159 (b) 497 (c) -0.05 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 14*n + 66. Determine c(13).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - -5. Let i be (-44)\/66*(-1 + -44). Let f = 33 - i. Solve x = -3*l + z, -l - 4*z + f*z = 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -542 + 558 - (10 + -48).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2357014995 - 2357014973.99999989. Let u = -0.19 + 21.19. Let g = u - y. What is g rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t + 402. Give k(-2).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 631192 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 2. Determine c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*r + 24. Let x(f) = 32*f**5 - 44*f**2. Let y(l) = -11*l**5 + 15*l**2. Let j(m) = r*y(m) - 3*x(m). Find the third derivative of j(w) wrt w.\nAnswer: -480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -473789672*d**6 + 68720778*d**2.\nAnswer: -56854760640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -110*b - 189. Let o(d) = 110*d + 187. Let i(w) = 2*o(w) + 3*v(w). What is the first derivative of i(h) wrt h?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 302088 and 4605?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -16, -2*z = -78*y + 79*y - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1709167 by 6.\nAnswer: -1709167\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58793 and 35217.\nAnswer: 295787583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 51245.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21581949 + 21581949 - 6*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12230, -12229, -12226, -12221, -12214?\n\"Answer: n**2 - 2*n - 12229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 0*r**3 - 5*r - 307*r**2 + r**3 + 308*r**2 - 2 - 2. Give f(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 66444736?\nAnswer: 199334208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**5\/7 - 4077*f**4\/7 - 1403397*f**3\/7 - 12399123*f**2\/7 - 32869800*f\/7 - 21870000\/7 = 0.\nAnswer: -675, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s + 2*s**4 - 5*s - 90*s**2 + 91*s**2 as t*s**3 + y*s**4 + g*s + p*s**2 + v and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -9 - 7 - (-53 - 8).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3163, 3174, 3197, 3238, 3303, 3398, 3529?\n\"Answer: m**3 + 4*m + 3158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -21 + 0 - -44?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + (sqrt(2057) - (sqrt(2057) - sqrt(2057)*-2*-2)) + 2)*-1)**2*-4.\nAnswer: -205716 - 880*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 14\/9, -9.895, 0, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 492061497?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -25. Suppose -4*f = -0*f - 144. What is the greatest common divisor of v and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 - 82. Let u = s + -4.2. What is the third biggest value in -0.3, 0, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105 + -16 - (-119 - -195).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -797*v - 1560. Give t(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + 10. Suppose -t + n + 17 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55632*g**2 - 124*g + 84.\nAnswer: -111264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -63*v + 40. Let p(k) = 10*k. Give c(r) + 5*p(r).\nAnswer: -13*r + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44125 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*g*m**3 - 671*g*m + 2926*m**3 with respect to g.\nAnswer: -17*m**3 - 671*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3\/19, -1035, -0.22?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46757 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29240*-0.3.\nAnswer: -8772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(171) + 1 + sqrt(171)*2 - (1 + (sqrt(171) - (-1*sqrt(171) - sqrt(171))) + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*q + 1414 = 75*q. Calculate the remainder when 506 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650462 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: What is the greatest common factor of 15386 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 6*v**2 + 5*v + 3. Let u be q(-3). Let w(d) = 0*d**2 + d**2 - 10 + 3*d + 1 - 12*d. Let k be w(10). Solve -4*h = 3*y + u, -h = -y + k + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let v be (4\/6)\/((-10)\/(-45)). Let y be k(v). Let z(b) = -b**3 - b**2 + 5*b + 3. What is z(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 4\/195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 + 432*i**2 + 16 - 461*i**2 with respect to i.\nAnswer: -58*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + i**2 + i + 1. Let y(n) = -2*n**3 - n**2 - n. Let j = 1 + -2. Let f be 9 - 8 - (j + -1). Let m = f + -2. Calculate m*h(b) + y(b).\nAnswer: -b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 256*j**3 + 6*j**2 + 6. Let c(w) = -258*w**3 - 5*w**2 - 5. What is 5*b(p) + 6*c(p)?\nAnswer: -268*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(84)*-2 - sqrt(84) - sqrt(84))*2)\/((sqrt(24) + (sqrt(72)*-2 + sqrt(72) + sqrt(72))\/sqrt(3) - sqrt(24) - sqrt(24))\/sqrt(2)).\nAnswer: 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**7\/840 - c**6\/80 + c**5\/20 - c**4\/6 - c**2. Let w(g) be the second derivative of y(g). Factor w(u).\nAnswer: 3*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313225, 1252924, 2819073, 5011654, 7830649, 11276040, 15347809?\nAnswer: 20045938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 + -2) - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-25)*15\/(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 14*j + 14. Let v be c(11). Let h be (-1)\/((-2)\/94*1). Let i(z) = -v + h - z. Let p(s) = 5*s. Determine p(i(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by -12?\nAnswer: -41\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w. Let a(t) = 3270608*t. Calculate g(a(n)).\nAnswer: 19623648*n","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379250?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.3312977 to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 + 82. Let o be (3 - u\/12) + 2\/3. Let i = o + 30. What is the remainder when 102 is divided by i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 34. Suppose -q*p + 487 - 175 = 0. Calculate the lowest common multiple of 44 and p.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 (base 12) in base 10?\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-111 + 111 + 13*i**2)*(-3 - 1 + 5) in the form v + g*i**2 + f*i and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5056796 is divided by 4253.\nAnswer: 4232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*b - 56*b + 47*b as a*b + c and give a.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3*f**2 - 107*f**4 + 241*f**4 - 7 to the form q*f + v*f**3 + y + k*f**4 + n*f**2 and give k.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-52)\/(-6) - (-1)\/3. Let j be (-2)\/d + 220\/18. Let o(g) = -g + 9. Let y be o(3). Calculate the highest common factor of j and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 - 33992*w**2 + 33994*w = 0.\nAnswer: -16997, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-35) + 27\/5. Suppose -3*g = -n*z + 46, -2*g = -2*z - 0*z + 16. Solve -3*f + 4 = -z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v - 8. Suppose -3*t - t = -12. Suppose -t*w + 0*w = -48. Calculate the smallest common multiple of w and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 32*q + 25 + 115. Solve -q*k = 5*p + 15, 3*p + k - 9 = -20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -315, -5, -4, 5, 10, 0.\nAnswer: -315, -5, -4, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 560*w + 21 = 563*w, -5*y - 4*w = -36 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4402870620888.01600102 - -4402870567420. Let n = -53468 - a. Let u = n - 0.016. What is u rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 975616 to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 5 + -2 - -7) + -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 3. Let s be w(-6). Let x = 12809 + -12865. What is the closest to x in s, 3\/2, 4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15710839.\nAnswer: 17, 619, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 7*n**2 + 8*n + 6. Let p be w(2). Suppose 0 = 172*u - 176*u + 20. Calculate the greatest common divisor of u and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196\/(-126) - (-6)\/27?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 124 - 140 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmyyxycynyycycxyxy. Give prob of picking 1 y and 2 c.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 54. Suppose -6*u + 6 + r = 0. Is ((1572\/u)\/3)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1227*z**3 - 17*z + 6?\nAnswer: -7362*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5830706*x**6 + 2*x**2 + 25*x + 33978.\nAnswer: -699684720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1510 - 48?\nAnswer: -1558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 10\/20)\/(10*1\/16). Let i = 12 + -19. Let n = 4 + i. Which is the nearest to 1? (a) u (b) n (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/((-6)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260591364 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6000) + 2*sqrt(6000)*4)*-2)\/(sqrt(588) + (sqrt(588) + -2*sqrt(588) + sqrt(588))*-5 + sqrt(588) + -4*-2*sqrt(588)).\nAnswer: -18*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0658 - 14.9458. Let m = -261.92 + o. Let l = -243 - m. What is l rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170.529 + -0.029. Round r to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43368 - -43367.6. Let k = -0.09 + 0.2. What is the biggest value in l, -9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0232, 34, -1, -939, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 1 + (4 - 1). Does 9 divide 3 + (-33)\/(-3 - w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393 by -21.\nAnswer: 131\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/4 - (1 - -1))*(1 - (-2070)\/210)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*-2 - -17. Let y = m - 4. Let v = 16 + y. What is the remainder when v is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033453421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 99 = -2*h - 2*h, 14*h - 289 = 193669*u - 193668*u for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) 0.3 (c) 4 (d) 2051 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47617444 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -17*a - 1. Let q = -5 + 2. Let i be 5\/15*q\/(-1). Determine o(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 28 = -n, -7*o = n - 2*o - 22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172341145*u**3 - 439819196*u wrt u?\nAnswer: 1034046870*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488190 is divided by 78.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -559*o + 515. Let p(n) = 1125*n - 1030. Let a(d) = -6*p(d) - 13*z(d). Differentiate a(g) wrt g.\nAnswer: 517","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 3*i - 24208 = -5*i. Calculate the greatest common divisor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxjxjxxx. Give prob of picking 4 x.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 24 = -5*t. Differentiate -3*a**3 - 4 + t + 10 with respect to a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(272) + -2*1*sqrt(272))**2 + (-1 + -2*(-3*sqrt(1700) - sqrt(1700)))**2.\nAnswer: -160*sqrt(17) + 109073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -o - 354, 103*o = -2*z + 102*o + 143. Calculate the remainder when 262 is divided by z.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 10*v**2 - 12*v + 2. Let x be g(-2). Solve -m = 3*m + x*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319699112?\nAnswer: 2, 1801, 22189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*a + 14*a - 56*a + (-3*a + 2*a - 3*a)*(2 - 4 - 12).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 126353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 378*l - 5 - 21*l**3 - 11.\nAnswer: -21*l**3 - 378*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-4)\/u)\/u)\/(((u\/u**(-3\/5)*u)\/u)\/u)*u**(-5)\/((u**(2\/9)\/u)\/u))\/((u\/(u\/((u\/u**(-2\/5))\/u*u)))**(-1\/62)*(u**(-1)\/u*u)\/u**5) assuming u is positive.\nAnswer: u**(-10601\/2790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643675.32 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + -253c?\nAnswer: -2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106267.\nAnswer: 7, 17, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g + 2. Let z(f) = -3*f**2 - 10*f - 4. Let d(r) = 5*v(r) + 2*z(r). Suppose -l = 10*j - 6*j + 9, -j - 6 = -l. What is d(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 146?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5270, 10474, 15684, 20906, 26146?\nAnswer: 31410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -200 + 199.801. What is h rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -3334.394.\nAnswer: 3334.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-680)\/476 - (-27)\/14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 5:36 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - -19. Let b = s + -21. Let d = -57.9999961 + b. What is d rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070 divided by 5?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 297*q**2 - 88*q + 88. Let s(a) = 17*a**2 - 5*a + 5. Calculate 5*l(k) - 88*s(k).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 48 (b) 0.2 (c) -4\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 - 95. Solve 0 = 4*d - 5*d + m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 5, g: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13120110133 (base 4) in base 8?\nAnswer: -7302437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5274*u - 5281*u - 27 - 23 - 26 + 76.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 577096 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s - 4*s + 7*s. Let a(t) = -t**2. Calculate k(a(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*a + 92, -i - 95 = 2*a - 2*i. Let s = -25 - a. Solve 0*k - k = -3*z + 16, s = -4*k + 2*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 4:10 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*n + 5*h - 64, -5*n + 127 = -h. Suppose -s + n + 64 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -24*v + 50. Let p be t(2). Let y be (-612)\/45*(-10)\/4. Solve -9*n + y = -p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343975 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 3:45 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**3 + 19*b**2 + 2*b + 8. Let z be k(4). Let n(w) = -2*w**2 + 2*w + 1296. Is 72 a factor of n(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.286261513 rounded to two dps?\nAnswer: -3.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 3. Let b be c(3). Let u(i) = -5*i**2 - 7*i**3 + b*i**3 - 3*i - 2 + 3*i. Give u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-9)*295\/649)\/((-1)\/12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqmmmmqlmqmqmqmqmlq. Give prob of picking 1 m, 2 q, and 1 l.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, d: 5}. What is prob of picking 4 a?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l - 8*l - l**2 + 11*l + (1 - 6*l - 1)*(0*l + l + l).\nAnswer: -13*l**2 + 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-39) + 12936\/56199. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-8))\/((-2)\/(-8)). Suppose 232 = q*c + 94. Let h be c\/14 + 8\/(-28). What is the greatest common factor of 15 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 5:33 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 - 668*k**2\/3 + 38060*k - 290400.\nAnswer: (k - 330)**2*(k - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(256))\/(sqrt(8)*-1*3) + (-4 + sqrt(8) - (2*sqrt(2) + 3 + sqrt(2)))**2.\nAnswer: 10*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8.3 times 0.3\nAnswer: 2.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -183174479*i**3 - 67536642*i**2 - 3*i wrt i.\nAnswer: -1099046874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5551314 (base 7) to base 5.\nAnswer: -133403121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:45 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48329 is divided by 48271.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2419*f + 1942*f - 759*f)*(f**2 - f**2 - 2*f**3) to o*f + i*f**4 + j*f**3 + s*f**2 + p and give i.\nAnswer: -7204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 + 5*q - 1. Let j be f(-6). Let h = 0.45 + 0.05. Which is the nearest to 4? (a) j (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6803 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: What is the millions digit of 214455020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 2:28 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 25*x - 1. Let r(p) = 5*p + 26. Let z be r(-5). Is d(z) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*n**3 + 4*g*n**2 + 95*g*n - g - 13*n**3 wrt n.\nAnswer: -6*g*n + 8*g - 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 10797*r - 10797*r + 10*r**2 + 34 + 14*r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 148074 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (2 - -13) + (0 - 15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1148\/(-12) - 6\/(-9). Let w = -40 - o. What is the greatest common divisor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*h**3 + 134966*h**2 + 53911269*h wrt h?\nAnswer: -408*h + 269932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -48) + (5 - ((-23 - -22) + -4 + 1)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 2) in base 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + 10*k + 20. Suppose 4*v + 70 = -10*v. Let s be 2 + v + 1 - 4. Is 12 a factor of w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-152 + 8)*6064\/(-24).\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(7\/(21\/(-2)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143484912 and 3?\nAnswer: 143484912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 9:43 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 5000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.5 - -4. Let h = -996\/7 + 142. Put 8, h, n in ascending order.\nAnswer: h, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 less than 0.0832141494634?\nAnswer: -80.9167858505366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 128520355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 116 = 84 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1296, 10, -0.23, 1\/6 in decreasing order.\nAnswer: 10, 1\/6, -0.23, -1296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(4\/11)\/r**(-2\/45))**(-42))**(2\/53) assuming r is positive.\nAnswer: r**(-5656\/8745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1 - h - 2*h + 2*h + 7*h**2. What is the remainder when p(2) is divided by -25*(-2)\/6*-18*21\/(-315)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14900813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 358031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -572, -258, 355 in increasing order.\nAnswer: -572, -258, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 3) to base 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(15)\/sqrt(5)*4) + sqrt(3))**2*2 + -5*sqrt(768) + -3.\nAnswer: -80*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/30 - 6\/(-9). Suppose -q + y*x + 107 = -4*x, -3*x = -3*q + 303. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1341 is divided by 111.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.837 + 32071.\nAnswer: 32101.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.22 + 0.18. Let v = 6.4 - 6. Let j = v + b. What is j rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/280 and 85\/224?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:32 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(6\/4 - 2). Let s(y) be the third derivative of y**6\/120 - y**5\/12 - 5*y**4\/24 - y**2. What are the prime factors of s(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**2 + 4*k + 1. Let w(n) = n**2 - n. Calculate -2*d(b) - 6*w(b).\nAnswer: 2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1625, -1613, -1573, -1493, -1361, -1165, -893, -533?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -6. Calculate the lowest common multiple of 11 and 51\/6 - (-1)\/b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 6*s - 2. Let n be f(-6). Let r(t) = -16*t + 1. Does 12 divide r(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.359 + 42.641. Let r = -0.06 - 0.94. Which is smaller: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 27*l**2 - 4*l - 3. Let c(r) = -r**2 - r - 1. Let i(z) = -3*c(z) + y(z). Let k = 358 - 243. What is the remainder when k is divided by i(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 1, h: 4, e: 6, k: 1, c: 2}. Give prob of sequence ck.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5ab3c - 7?\nAnswer: -5ab44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 599*c - 601*c + 4*l + 2, 2*c = -13*l + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b - 45. Let k be f(12). Suppose 0 = -h - 3*o + 1, -o - 13 = k*h - 0*o. Is h greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9561 is divided by 952?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 14*v - 100. Let o be r(19). Let n = -303 - -3566. Is (o - -1 - -2)\/((-26)\/n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1605031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 - -90. Do -3\/7 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*a + 3*m + 25, -5 = 5*m. What is the greatest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 112.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 61*r + 153. List the prime factors of g(7).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 22 - 36*c + 114*c + 40 - 36*c - 39*c. Calculate r(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16082 is divided by 1391?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 24*a**2 - 26*a + 34. Let d(v) = 5*v**3 + 97*v**2 + 105*v - 136. Let q(z) = 2*d(z) + 9*p(z). Does 2 divide q(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-20)\/12 - (0 - 10). Solve h - 5 = 2*x, -5*h + 18 = -g*x + 2*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by (-172)\/301 - 144\/(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 856*m**2 + 801*m**2 + 1070*m**2.\nAnswer: 2727*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -16*l + 62. Let i be (-21)\/(-6) + -2 + 2 + -2. Factor -9\/2*r**2 + 3\/2*r - i*r**l + 9\/2*r**3 + 0.\nAnswer: -3*r*(r - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10, 32, 88, 196, 374?\n\"Answer: 3*h**3 - h**2 + 4*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*n - 8*n. Let p be 2\/n*2*0. Suppose -5*o + 86 - 16 = p. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41124 - -140100?\nAnswer: 43421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23062 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + (-2 - (-433623)\/(-6)))\/((-7)\/14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -40 - -21 - (9 - 2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 9\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 8*p**2 + 46*p - 105. Let u be w(-15). Is 781 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2070*u + 2069*u - 6)*((3 + 4 - 4)*(2 - 5 + 2) - 3 + 4 - 3 - 3 + 0 + 1) + u + u + 0*u to the form w*u + j and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7)*p\/p**(-6)*p*p*(p**(-2\/3))**(41\/4))\/((p\/(p\/(p\/(p\/(p**(-1\/4)\/p)))))**(-12)\/(((p\/p**(-1\/4))\/p)\/p**(-6))) assuming p is positive.\nAnswer: p**(-529\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1181120699 times -0.5?\nAnswer: 590560349.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 124706391.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - (-1 + 2 + -22 + 23).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1700) - sqrt(1700))**2 - (sqrt(119)\/(sqrt(7) + sqrt(63)))**2 - (-4 + (sqrt(17) - (1 + sqrt(17) + 1 + sqrt(17)))**2).\nAnswer: -4*sqrt(17) + 108511\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffgfgfggffgzfgzfgf.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let n = 787 - 1220. Let r = -432.887 - n. Which is greater: r or -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*x + 21 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 21*t**2 + 168*t + 144.\nAnswer: -3*(t - 12)*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 54997 times 0.5\nAnswer: 27498.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 - 4*w**3 + w**4 + (4*w**2 + 4*w**2 - 5*w**2)*(2*w**2 - w**2 - 3*w**2) + (-2*w + 2*w + w**3)*(10 - 4 + 18*w - 24*w)*(-1 - 4 + 2).\nAnswer: 13*w**4 - 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (64\/6)\/((-1)\/3). Let i = 48 + c. What is the smallest common multiple of 4 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14224*q + 28*q**3 - 7093*q - 29*q**3 - 7131*q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178729 is divided by 610?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4234 + -4242. Let d = 7 + 1. Let f = v + d. Solve -n = -3*b - b - 14, b + 3 = f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 1, k: 2}. Give prob of sequence kupp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10*y + 9. Suppose 0*f - 3*f + 84 = 0. Suppose -i + 14 = 2*h + 2, 0 = -3*h - 4*i + f. Let a(z) = -z - 1. Give h*t(k) + 36*a(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -114505 divided by 5?\nAnswer: -22901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(-2)*(-410)\/82?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 24 = -30. Let j = -1532 - -1537. Solve -j*o + 4 = -21, 0 = p*m + 3*o - 19 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264108911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**3 - 12*i + i + 0*i - 35*i**3 wrt i.\nAnswer: -186*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/9, 121, 1, -13.1, -3.\nAnswer: -13.1, -3, -8\/9, 1, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 10 + 9*r + 3)*(-2 + 6 + 4).\nAnswer: 72*r - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4652 (base 8) to base 15.\nAnswer: -aee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 12*v + 2420. Let g(h) = -2*h**2 + 10*h - 2423. Determine -6*g(a) - 5*n(a).\nAnswer: 2*a**2 + 2438","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 253621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 4*t = -7*t + 2*t - 10, -3*t = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.6*-0.0567196.\nAnswer: -0.37434936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5))**2*-3 - (sqrt(7) + 3 + -3).\nAnswer: -21 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 139 + 58a?\nAnswer: 6c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - z**2 + z - 2. Let r(d) = -4*d**2 - 12*d - 5. Let p(h) = -m(h) - r(h). Let b be p(-5). Which is greater: -46 or b?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let h be l(7). Let z = -46 - 28. Let i = -25 - z. What is the highest common factor of i and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1967*w - 23473. What is t(12)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117 - 83. Let j = -29 + x. Find the second derivative of -3*n - 10*n**5 + 20*n - 8*n**j wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2. Let p(d) = 20374*d**2 - 122*d + 122. Let i(r) = 2037*r**2 - 12*r + 12. Let q(f) = -61*i(f) + 6*p(f). What is m(q(y))?\nAnswer: -8104338*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 838419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 - -1.9. Put -0.4, z, 3\/2 in increasing order.\nAnswer: -0.4, z, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2421, -1586, -711, 204, 1159, 2154?\n\"Answer: 20*s**2 + 775*s - 3216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7311591 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: Is 32443565569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**4\/13 - 212*s**3\/13 - 7288*s**2\/13 - 6076*s + 86490\/13 = 0?\nAnswer: -45, -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 at most as big as -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-132))\/((75\/(-15))\/40)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16*(-12)\/6)\/(5\/(100\/(-40))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054830159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g - 268 + 58 = 0. Suppose 0 = -3*d + 8 - 23, 3*t + 16 = -2*d. Which is smaller: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, -4, -5239?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -0.5. Suppose -3*y = -0*y - 6. Suppose 17 = -3*j - 3*n - 7, -5*n = -y*j + 5. Which is the closest to i? (a) 3\/4 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 89 - -102?\nAnswer: 18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.908, 6677 in increasing order.\nAnswer: -0.908, 3, 6677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 14902*g + 2 + 5.\nAnswer: 14902*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14\/69 (b) -4\/9 (c) -2832 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1186, 1183, 1202, 1243, 1306?\n\"Answer: 11*f**2 - 36*f + 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 30417*s**2 + 182421*s + 273591.\nAnswer: 3*(s + 3)**2*(s + 10133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194387457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.234705 days?\nAnswer: 365878512000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**3 - 6*o**2 + 2. Let l(f) = -11*f**3 - 17*f**2 + 7. Let b(y) = -7*g(y) + 2*l(y). Find the third derivative of b(t) wrt t.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f**2 + 3177*f - 72227. Calculate z(24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1146*t - 768961. Determine b(-671).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z - 4*d - 104 = 0, 4*z = -17*d + 12*d + 37 - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 50, 64, 90, 134, 202, 300, 434?\n\"Answer: r**3 + 7*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540792599 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51800.82t?\nAnswer: 51800820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775253.\nAnswer: 541, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -29172*a**3 - 187*a**2 - 561*a - 187. Let j(u) = 941*u**3 + 6*u**2 + 18*u + 6. Calculate 6*f(l) + 187*j(l).\nAnswer: 935*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l**3 + 48 + 28*l**3 + 237 - 14*l**3 - 6*l**3 in the form z*l**3 + g*l**2 + t + y*l and give t.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 11764566.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**5 + 430*v**4 + 27335*v**3 - 57580*v**2 - 84480*v = 0?\nAnswer: -44, -1, 0, 3, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2))**(-1\/2)*u**(-11)\/(u**(3\/5)\/u))**(6\/13) assuming u is positive.\nAnswer: u**(-651\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-6 - 4) + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.93 + -18. Let c = p - 2.93. Let g = 21\/58 + 53\/174. What is the second smallest value in g, -1\/6, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 0.1, -4, 10.3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in kilograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 7.8. Let m = 0.33 - 0.33. Let b be (-2 - 0)*4\/32. What is the second biggest value in m, v, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 - q - 1. Let l be p(-1). Let g(b) = b**2 - 2*b - 6. Let c be g(l). Let v = c - 5. Solve y + 0*y = -v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**8\/1008 + n**7\/630 + n**6\/60 + n**5\/90 - 5*n**4\/72 - n**3\/6 + 4*n**2. Factor a(y).\nAnswer: -(y - 3)*(y - 1)*(y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*g - 28*g - 32*g + 127*g - 33*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - 100. Calculate the common denominator of (1\/(-2))\/((-24)\/c) and -107\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47916 and 173844.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 144071461.9 to the nearest one hundred thousand.\nAnswer: 144100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378497684.\nAnswer: 2, 1117, 84713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 92552 = -92426 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**5 - 3*w**5 + w**5)*((-3 + 4 - 3)*(2 - 2 - 2) - 2 + 0 + 4 + (1 + 2 + 6)*(-1 + 1 + 2)).\nAnswer: 48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from viijiiijjiqivjjv. Give prob of picking 1 v, 2 j, and 1 q.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Let h(n) = -n**2 + 3. Let i be h(g). Find r, given that -2\/3*r + 0 - 2\/3*r**2 + 2\/3*r**i + 2\/3*r**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-20)*-2*1*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4*u = -17, -g + 15 = -4*g - 3*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -393397*g**4 - 28*g**2 + 5619*g.\nAnswer: -9441528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5525 + -5523. Solve -x + l = 2*u, 3*x = 10*u - 6*u + 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1. Let x(r) = -4 - 168*r + 84*r - 1 + 87*r + 3. What is 5*a(z) - x(z)?\nAnswer: -3*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u + 2*u + 9*u)*(5 - 1 - 2) + 0*u + 0*u + u)*(2 + 1 + 0).\nAnswer: 57*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 49.69779 kilometers?\nAnswer: 49697790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1323231 (base 6) to base 2\nAnswer: 10001111001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 9987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/20 - i**4\/12 + i**3\/3 + 6*i**2 - 1445*i. Suppose -z = 4*z. What are the prime factors of h(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 550 - 553. Suppose -11 = 5*n + g + 12, -5 = 2*n - g. Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 42 = -3*b. Let d be 16\/7 - b\/(-49). Let x = -74 - -82. Solve -d*l = -2 - x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/7 + 4*j**3\/7 - 19*j**2\/7 + 2*j.\nAnswer: j*(j - 2)*(j - 1)*(j + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698917 is divided by 346.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s**2 + s. Let a be f(5). Suppose -9 - 6 = a*n. What is the tens digit of n + ((-41)\/(-1) - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 + -98 + -4 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14312*d**5*j + 18*d*j - 205*d wrt d?\nAnswer: 286240*d**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a - 5*a - a + (33 - 33 + 4*a)*(-4 + 4 + 2) + 0*a - a + 0*a + (4 - 1 - 5)*(-4*a - 2*a + 4*a).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*p - 53*p = -96 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161388691*u**3 + 23775*u**2 - 1157*u.\nAnswer: -968332146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (3 + -1) - 7) + (136 - 107)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-202)\/(-8) - (-3)\/(-12). Solve o = -4*o + b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 37 + 8. Let z(y) = y**3 + 15*y**2 - 21*y + 4. Let c be z(-16). Let o = c + -74. Solve -5*m + o = -w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2138758 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8\/(g**6\/g))\/((g**(-6)\/g)\/g**(-10)) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (95 + 83 - 268)*(4*f - f - 4*f)*(-1 + 2 - 2) to l*f + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7014 times 0.811\nAnswer: 5688.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 63*g - 9. Let j(c) = -31*c + 4. Let k(h) = -9*j(h) - 4*o(h). What is the remainder when k(1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**1)**(18\/5)*((b*(b\/(b*b**(-2\/7)\/b))\/b)\/b*b*b*b*b)**(10\/7))\/((b*b\/(b**(-2\/15)*b))\/b**6*b**(-2\/7)*b*b*b*b\/(b*b**2)) assuming b is positive.\nAnswer: b**(7552\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1561*z + 1561. Let n be o(-1). Suppose 0 = -0*l - 2*l + 2*a + 22, -5*a = -4*l + 45. Solve n = l*s - 3 + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 6*w**2 + 6*w - 5. Let k(m) = m**3 + 6*m**2 - 2*m - 7. Let v be k(-6). Let h be n(v). Solve 0*i**2 + h + 3\/5*i**3 - 3\/5*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o + 15*o - 3*g = 5, -27 = 3*o - 3*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(76)*2 - sqrt(76) - sqrt(76))*-6 - sqrt(76)))\/((sqrt(160)*2 - sqrt(160))\/sqrt(10)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n, 5*n - 15 = 5*a + 6*n. Put -31, a, -6 in descending order.\nAnswer: a, -6, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 1, u: 1, z: 1}. Give prob of sequence zv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 10*w**2 - w - 6. Let r be y(-10). Which is the nearest to 13? (a) r (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1258029*t**2 + 1243278*t**2 - 644502*t**2.\nAnswer: 1856805*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663369?\nAnswer: 3, 7, 31, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3711 divided by 3\nAnswer: -1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105056 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ca (base 13) to base 12.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 27 + -480 + 482\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*f**2 + 2*f**2 - 8*f**2)*(-f**2 - 1 + 1).\nAnswer: -17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 108, 264, 1\/1476?\nAnswer: 1\/1476","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5541146 to the nearest integer?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6463*d - 187302. What is g(29)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + 4 + sqrt(117) + 3)**2.\nAnswer: -630 - 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1833.704 and -210465.\nAnswer: -212298.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -19 (b) 0 (c) 7 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 10. Let x(i) = 2. Determine -2*q(p) - 12*x(p).\nAnswer: -4*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-2 - (-1 + 1)). Suppose -3*z + 19 - 4 = -5*d, -3*z - d - q = 0. Suppose z = -3*k - k + 44. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91824, 183975, 276126, 368277, 460428, 552579?\nAnswer: 644730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 175283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, f: 2, u: 3, p: 3, c: 1}. Give prob of picking 2 g, 1 p, and 1 u.\nAnswer: 135\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 r, and 1 h when three letters picked without replacement from fhgjgrj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -412 + 408. Put -5, w, 2 in descending order.\nAnswer: 2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 2:29 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 2*y + 5. Let v be x(1). What is the closest to 0.1 in v, 0.1, -0.2, 1\/20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 15. Let f(l) = -l + 15. Let n(i) = -3*d(i) + 4*f(i). Let m be n(14). Let w(x) = 13*x. Determine w(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.368 + -0.032. Let k = -3.622 + -0.178. Which is the third smallest value? (a) z (b) 4\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -231327002*b*s**3*w**2 + 4*b*s**2*w**2 - 13*b*s**2*w + 23*b*w**2 - 2*s**2*w**2 + 6*s**2*w - s**2 + 4*w**2 wrt s?\nAnswer: -1387962012*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 23\/158?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + w**2 + 5*w + 73. What is k(16)?\nAnswer: -3687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-99)*(-174)\/(-2378)*12\/(-8)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 - 4*n**2 - 3*n**2)*(0*n + 0*n + n + (1 - 2 - 1)*(2*n - n + 0*n) + 4*n + n - 6*n) - n**3 - 2*n**3 - 2*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 1001\/(-11))*22 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/22 + 8\/44. Suppose h*n = -2*n. Suppose o + 2*y - 28 = n, 0*o - 4*o + 73 = -5*y. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 + 21 - 39 - (0 + -16)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3 - 4*v + 3 - 34. Let x be c(-7). Suppose x = -t + 5*f + 50, -3*t + 294 = 2*t - 3*f. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 1813?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-7) + (-21310062)\/(-3). Let k = -156300275\/22 + w. Let f = -1202 - k. Find the common denominator of f and 77\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 - -186. Let p = -62 + b. Let y = p + -39. Solve 6*s = 2*s - 3*o - 17, 2*s = -2*o - y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.91963046 rounded to three dps?\nAnswer: 2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l)**24*(l*l**0)**31 assuming l is positive.\nAnswer: l**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 710 = 3*d - 0*d, d + 1788 = 5*u. What is the least common multiple of u and 8?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l + 25. Suppose -10 = 3*c + 2*c. Let r(v) = -3*v - 12. Let f(s) = c*m(s) - 5*r(s). Calculate the remainder when f(8) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1541 divided by -6012\nAnswer: -1541\/6012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 + -4) - (7 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320ba0 (base 12) in base 10?\nAnswer: 789672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 plus 2811.842?\nAnswer: 2784.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(3 + 6\/(-3)). Let r = 0 - y. Suppose -3*i - k = 4*k - 30, r*k = -i + 17. Solve -i*q + 2 - 4 = o, -4*o = -5*q + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 330.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1181 (b) -1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 103*p + 3191. Give g(-31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 209, 830, 1863, 3308, 5165, 7434?\n\"Answer: 206*i**2 + 3*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1420\/3444 + 918\/357 + 2 + -5.\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1)*(16 + -5). Let c(p) = p**2 - 11*p - 1. Let t be c(m). Put t, -5, -3 in descending order.\nAnswer: t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**8)**37)**(-3\/2) assuming n is positive.\nAnswer: n**(-444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 456170 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 417*y**3 - 5*y**2 + 5*y - 1399. Let k(f) = 408*f**3 - 4*f**2 + 4*f - 1401. Let t(c) = 4*d(c) - 5*k(c). Find the first derivative of t(v) wrt v.\nAnswer: -1116*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*r + 5*r + 949, -4*r - 964 = -4*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26852326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -72*g**3\/5 - 230*g**2 - 1048*g\/5 + 6 = 0.\nAnswer: -15, -1, 1\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (368\/(-6))\/(-8) + -5\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**5)\/((r**(2\/7)*r)\/r*r*r))\/r**(-44)*r**(-3\/5)*(r*r*r**(1\/3)*r)\/r*r**(-1\/4) assuming r is positive.\nAnswer: r**(20663\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8 (b) -3 (c) -0.2 (d) 148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 31 - (-30 + 27).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*i - 35*i - 13884 = 0. Let x = i + -528. Calculate the smallest common multiple of x and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-7) + (-2)\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, -5 in descending order.\nAnswer: 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*c**5 + 33*c**5 + 37*c**5 - 302*c**2 - 14*c**5 - 23*c**5 wrt c?\nAnswer: 3840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 0 + (-56)\/(-8). Let t = 2704 + 904. Suppose y*s = -1132 + t. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (958\/(-4))\/((-172)\/(-88) - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewweweewwwwppwwwzy. What is prob of picking 2 w and 1 e?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -7*p + 3*p. Suppose -4*k + p = -k. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + (-6)\/(-3))\/2. Let o be 0 - (f\/2 - 28). Suppose -2*i - 3*c + 48 = 0, 0 = 2*i + 5*c - 20 - o. What is the highest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17*32.37\nAnswer: 550.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 6 = 4. Let h be n\/((-1 - 0) + 0). Let d(v) = 4*v**h - 7*v**2 + 2*v**2. Let i(q) = 3*q. Determine d(i(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1186157 = -340*s - 1196017 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*b + 15\/4 - 1\/4*b**2 = 0 for b.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 55\/3 and 1277942 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - -0.03. Let d = -0.26 + j. Let x be (-3)\/(-3 + 12) - 7\/(-28). Which is the smallest value? (a) d (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -500484 + 12?\nAnswer: -500472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((178\/2)\/(-41*(-44)\/1804))\/(-1)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2099078 is divided by 19991.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -25 (c) 3 (d) -14.969 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2970 divided by -330\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -7*p. Let w = p + 16. Suppose -3*b + w = b. Put -4, b, 3 in descending order.\nAnswer: b, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/4 + 735*a**3\/2 + 2931*a**2\/4 + 366*a.\nAnswer: 3*a*(a + 1)**2*(a + 488)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*l - 63 = 3*j, j = 4*l + 31. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 18. Which is the smallest value? (a) d (b) -0.02 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8422993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 21 = -9*p + 4*p, 2*p + 5*i = -18. Let r be (1 + 1 - p) + 2. Factor -14*y - 28*y**2 + 7*y**4 - 7*y**3 - 13*y**r + 9*y**4 + 22*y.\nAnswer: 4*y*(y - 2)*(y + 1)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 5053.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - 60\/(-8))\/(1\/(-2)). Let d(g) = -g - 1. Let r(p) be the first derivative of -2*p**3 - 6*p**2 - 12*p - 16. Calculate o*r(u) + 12*d(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**(-1))*k**(-3)*k*(k\/(((k*k**0)\/k)\/k))**(1\/13) assuming k is positive.\nAnswer: k**(-37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1944585 = -5*p, 14*f + 1555664 = 18*f - 2*p. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/25 and 92\/15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 971 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149196269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -314*l**2 - 4*l. Let a(o) = -o**2 - 2*o. Calculate 3*a(s) - d(s).\nAnswer: 311*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2309123387?\nAnswer: 23, 100396669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:33 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2. Let y(t) = t + 5. Let h(d) = -5*p(d) + 2*y(d). Let b(s) = 4*s**2. Determine h(b(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2662 is divided by 871.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50985\/21630)\/(96\/(-56)).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2162972 is divided by 1205.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 242, 381, 532?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -627*a**2 + 7552*a - 304. Determine o(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 - 22*o + 23. Calculate t(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -3*f - 2*y, -10*f + 8*f + 54 = 6*f - 2*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3532267501?\nAnswer: 7, 8111, 62213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j\/j**(-11)*j)\/j))\/j)\/j)**(10\/3) assuming j is positive.\nAnswer: j**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 119887 and 0.\nAnswer: 119887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvurqrcucrccrccrrv. What is prob of sequence cqru?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331361 is divided by 66268?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l. Suppose -2*i = t - 3, -2*t = t - 2*i + 7. Give r(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*u - 220 - 67, 5*g + 281 = 4*u. Let q = -16 - 95. Let z = g - q. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11505383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 0, 2, 1, -303, -1, 13 in descending order.\nAnswer: 13, 2, 1, 0, -1, -19, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h)\/(h**(-1\/3)*h))**(3\/10) assuming h is positive.\nAnswer: h**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**2*p*z**2 - 4*a**2*z**3 - 27*a*p*z**2 + a*z**3 + 31*p*z**3 + p wrt z?\nAnswer: -24*a**2 + 6*a + 186*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*x**2 - 3604\/3*x - 1200.\nAnswer: -4*(x + 1)*(x + 900)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102\/7 - 100\/7. Let j = -5 - -3. Let z be -4 + (-1 - j) + -1. Which is the second biggest value? (a) -5 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000181111 to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26040?\nAnswer: 2, 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1386*u + 504*u + 880*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 1. Let a(x) = -2*x**2 - 8*x - 1237. Let h(q) = -a(q) - d(q). Differentiate h(y) wrt y.\nAnswer: 6*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 2*n - 19, 4*n + 28 = 4*r. What is the tens digit of (0 - 4)*r\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -111. Suppose 5*r - d = 93. What is the remainder when r is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from yumuucnymmy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -14*o + 96*j + 361 + 283, 3*j + 6 = -5*o + 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j - 9. Let b(h) = -h. What is -6*b(y) - z(y)?\nAnswer: -2*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 8000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1534, 1545, 1580, 1651, 1770, 1949, 2200?\n\"Answer: 2*v**3 - 3*v + 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 2.72, 754.9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1)*((-17)\/(-28) + (-606)\/707). Let z be 8\/14*(-83)\/2. Let i = z + 24. Which is the closest to -0.1? (a) i (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33518 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + 26*l**2 - 60*l + 9. Let k be c(9). What is the greatest common factor of k and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 1. Let p = v - 17. Is p at most -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*n + 166*n = 2*b - 4, -4*n = -3*b - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112166 and 13196?\nAnswer: 224332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -52. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738 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 r(i) be the first derivative of i**7\/42 - i**3\/6 - 3*i + 1. Let p(u) be the first derivative of r(u). What is the second derivative of p(z) wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3 - 12366*o**2 + 2300298*o - 105417130 = 0. What is o?\nAnswer: -6365, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 364*j + 2076. Calculate i(-5).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.086 + -51.586. Let m = v + 51. Let t = -12 + 8. Sort m, -2\/21, t.\nAnswer: t, m, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*q = -38*q - 12. Let p be q\/14 + (-7)\/(49\/107). What is the smallest common multiple of 10 and p*(-1 - (5 - 1)\/20)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**3 + 2337*n**2 - 30000*n + 96516 = 0?\nAnswer: 6, 7, 766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2211)\/737)\/(((-21)\/1645)\/((-1)\/5)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -102331, -409295, -920889, -1637113?\n\"Answer: -102315*b**2 - 19*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 28. What is the remainder when 14 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -4 + -6 - (7 - 12 - 1)) + -49?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759129607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 + 7\/(-42). Let k(m) be the second derivative of 1\/10*m**5 - 1\/3*m**3 + 0 - u*m**2 + 1\/30*m**6 + 2*m + 0*m**4. Let k(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 51.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.333 + 0.3330006095. What is l rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132 - -233?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 247 and 950.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.08351mm?\nAnswer: 4083510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**6 + 3574*o**5 + 3*o**3 - 7*o**2 + 2140*o - 2 wrt o.\nAnswer: 120*o**3 + 214440*o**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 82. Suppose -9 + h = 4*a. Solve -z + a = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 526 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - 0) - (-16 + 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 4*o**2 + 4*o. Let z = -2656 + 2653. Let b be (1\/2)\/(3\/24). Let j(y) = -2*y**3 - 3*y**2 + 3*y. Calculate b*j(a) + z*h(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 36 * 18236\nAnswer: 656496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -202\/21 + 28\/3. Let t = -1323\/29 - -10555\/232. Which is the closest to z? (a) t (b) -0.3 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*u - 70 = -8*l, 4*l = -u + 49. Solve 5*o - 8 = -d, -2*d - 3 = -5*o + l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 833 by -3.\nAnswer: -833\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2000*v**2 + 1400*v + 245.\nAnswer: 5*(20*v + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a3 - -a?\nAnswer: 3ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11306845?\nAnswer: 5, 11, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1124679628*n**2 + 2*n - 39162390?\nAnswer: 2249359256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -256, -517, -778, -1039, -1300, -1561?\n\"Answer: -261*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-216)\/(-60)*25\/2. Let a = -2 + 46. Is b >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 34\/97 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7\/252*-8*9*1\/24\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -18. Factor -10*p**2 - 1 + 55*p - 20*p - 8 - 5*p**3 - f.\nAnswer: -5*(p - 1)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1118 - -1113.26. Round o to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1295 is divided by 320.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/13 + 18*d**2\/13 = 0. What is d?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6)\/(4\/(-40)). Calculate the highest common factor of z and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*s + 1662111 + 573537 = 0. Calculate the greatest common divisor of 123 and s.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 4) to base 11\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10*k**2 + 13*k + 4. Let b(f) = -f**3 - 6*f**2 - 5*f + 5. Let c be b(-5). Let a(h) = -7*h**2 + 9*h + 3. Calculate c*y(p) - 7*a(p).\nAnswer: -p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 2*z. Let c(v) = 5*v**3 - 230*v**2 - 45*v + 210. Let d(x) = -c(x) + 20*t(x). Let d(k) = 0. Calculate k.\nAnswer: -1, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646875187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21340 = 6*h + 20908. What is the nearest to 3 in 0.4, 3\/5, h, 1\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 44*t**2 - t - 1. Let g(w) = -3*w**3 - 4*w**2 - 5*w - 3. Calculate the remainder when a(-1) is divided by g(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 9*p**2 + 10*p - 1. Let d be l(-10). Which is the closest to d? (a) -0.07 (b) -2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3168 and 89541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39249614, -39249613, -39249612, -39249611, -39249610?\n\"Answer: v - 39249615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/88*156\/(-130)*190.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42966040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73389, 73366, 73307, 73194, 73009, 72734, 72351?\nAnswer: 71842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -0.69 (c) -0.02 (d) 1\/98 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**2\/2 - 5. Suppose -2*s - 12 = -3*c - 4*s, 0 = -c + 4*s - 10. Let m(i) = -812*i - 6*i**c + 812*i. Give p(m(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 0 + 1)*(-2*s + 0*s + s)*(-2*s + 2*s - s)*(-s**2 - 4*s**2 + s**2) to the form r + o*s**3 + a*s**4 + g*s**2 + y*s and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*g - 3 = 0, 11*g - 16*g = u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-6)**2 - (-4 + -1*sqrt(17)).\nAnswer: sqrt(17) + 49576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582866 is divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -1622\/159?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -106086684 - 1?\nAnswer: -106086685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/(2\/1) + -4 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**3 + 7*q**2 - 5*q - 1. Let t be a(1). What is the third derivative of 106*w + w**2 + 3*w**2 + 1 - 109*w - 5*w**t - 5*w**3 - 1 wrt w?\nAnswer: -120*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 39*g + 74. Let c be o(-37). Let w(j) = -3*j**3 + j**2 + 378. Does 42 divide w(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 + 0.9. Let y = 0.4 - 1.3. Let n = y - w. Which is the third smallest value? (a) 2 (b) n (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1148*d + 3014*d + 2720*d - 998*d.\nAnswer: 5884*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -254586055 divided by -25807\nAnswer: 9865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30272207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + j - 4. Let i be f(-3). Let -7*p**2 - 2*p**3 + 7*p**2 + 4*p + 2*p**i = 0. Calculate p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242538186 to the power of 1\/3, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2217, 8913, 20047, 35577, 55461, 79657, 108123, 140817?\nAnswer: 177697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 3*y + 4. Let o = 17 - 16. Let j be (-8*o)\/((-8)\/36). Let d be 100\/j - (-8)\/36. What is g(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1215668025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38896613*-4.\nAnswer: -155586452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*c + 10 = 5, 0 = -3*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 19*f - 6*f - 2*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3)\/21 + 7\/(-980)) + -5.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**21\/(j\/(j**(-11)\/j)) assuming j is positive.\nAnswer: j**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 - (-656)\/(-224)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 716.2397l?\nAnswer: 716239.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 13366 + 15486 = 0. Let p = r - -13574. Round p to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**4 + 79950*h**3 - 367743965*h**2 + 384910000800*h - 115891466497280 = 0 for h.\nAnswer: 656, 7339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + x + 2. Let d be a(0). Suppose i = 0, 3*u + i - 9 + 0 = 0. Suppose -d*z + 7 = 3*t, -5*t + 8*t + u*z = 12. Is t <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 193 + -198. Put -3, -1\/4, i, -2\/7 in decreasing order.\nAnswer: -1\/4, -2\/7, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + 4*p**3 + p**3 + (-p**3 + p - p)*(-2 + 3 - 2) + 7*p**3 - 16*p + 16*p)*(-3*p + 3*p + p**2) - 3*p**5 + 1051 - 26*p**4 - 1051.\nAnswer: 7*p**5 - 26*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000115 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1. Let l(x) = -16*x**2 - 24*x - 4. Let g(y) = -l(y) - 5*n(y). Let g(h) = 0. What is h?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -284*b. Let c(v) = -8*v**2 + 4327503 - 4327503. Determine u(c(l)).\nAnswer: 2272*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 2*p**2 - 3*p - 3. Suppose 3*x + 4*n = 46, 0*x = -4*x - n + 44. Suppose -2*j = 3*j + x. Is g(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0*c - 4 + c + 5 - 5*c. Let h(q) = -11*q + 3. Suppose 2*z - 22 = -0*y + 2*y, 3*z - 39 = 5*y. Suppose 2*i - z = 8. Determine i*l(s) - 3*h(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -164685, -164668, -164651, -164634, -164617, -164600?\n\"Answer: 17*o - 164702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-723 - 0) + (12\/(-2))\/3. Let c = z - -1892. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27655 or 29561?\nAnswer: 29561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*w**2 + 133273*w - 33*w**2 + 3 - 133274*w + 54*w**3 to the form s*w + t*w**2 + b + a*w**3 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 5:29 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 15*x - 138. List the prime factors of x\/8 - 1173\/(-68).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + 45*t**3 - 2*t - 43*t**3 - t**2 + 5 + (0*t + 0*t + 2*t**2)*(5*t + t - 4*t).\nAnswer: 6*t**3 - t**2 + t + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-36)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.94736 plus -6.18?\nAnswer: 34.76736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - 121. Which is bigger: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560512 is divided by 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -1 - ((-7 - -30) + -28).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -3\/19, -5\/4 in decreasing order.\nAnswer: 5, 4, -3\/19, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -147196, -147206, -147220, -147238, -147260, -147286, -147316?\n\"Answer: -2*f**2 - 4*f - 147190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-1))\/(42\/(-42))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/11*f**3 + 12\/11*f**2 + 24\/11*f**4 + 8\/11*f**5 + 2\/11*f + 0.\nAnswer: 2*f*(f + 1)**2*(2*f + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 35*p**2 - 1672*p + 189. Determine j(62).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 210 + -136. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 38557140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1263964104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11421 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408603, -407070, -405537?\nAnswer: -404004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/4271, -96\/25 in decreasing order.\nAnswer: 0, -2\/4271, -96\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z. Suppose -15*m + 21 = -18*m. Let j(h) = -h**2 - 8*h + 5. Let g be j(m). Let l(q) = g*q - 24*q + 16*q. Calculate u(l(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*s + 195 = 341*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42020 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**2 - 25*f + 29. Let h be g(14). What is the closest to 1\/3 in h, -2\/17, -1\/2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**2 + 5871. Let x(o) = -1147*o**2. Determine y(x(s)).\nAnswer: 2294*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (-4 - (-2 - 0 - -4) - (-1 - -4)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -a - 15*d + 17*d, -a = -5*d - 294. What is the lowest common multiple of 81 and a?\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, -12, -22, -36?\n\"Answer: -2*c**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 580.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045482011 rounded to four decimal places?\nAnswer: 0.0455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -48. Solve -2*v + f*v = 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219\/10780 + -16\/539. Let k = -7.8 - -7. Let b = k - -1. What is the smallest value in -4, v, -0.5, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 not equal to 352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90177827.50003 + 90173590. Let q = y - -4234.8. Let l = 2.7 + q. Round l to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kktk when four letters picked without replacement from kkttkttkkktklt.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = 4*p, -5*i + 9 = -5*p + 2*p. Suppose 3*u - 6 = -p*l + 17, -2*u = -l - 20. Calculate the remainder when 25 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 36*i - 230. Let y be p(23). Put y, 5, 51, -3, 1 in increasing order.\nAnswer: -3, y, 1, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 420, 615, 818, 1029, 1248?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000152037546 to seven decimal places.\nAnswer: -0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -55. What is the highest common factor of u and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 5*p = 5*c - 70, 0 = 3*p - 12. Let u = 10 + c. Suppose -2*x = 3*o - 55 - 13, u = -3*x - o + 88. What is the remainder when 82 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3803432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 38 - 2 = -2*h, -4*h + 68 = 4*q. Let u(r) = 2*r + 6. Let s be u(h). Let o = 64 - s. Calculate the remainder when 43 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 s when three letters picked without replacement from saarasaaasrareaea.\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2399, -2355, -2283, -2183, -2055, -1899?\nAnswer: -1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (91\/(-39))\/((-2)\/6). Suppose -o*z = -39*z + 154720. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62583.69 years to months.\nAnswer: 751004.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.64*279\nAnswer: -178.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3274 - -3274.5. Which is the fifth smallest value? (a) -0.7 (b) -1\/2 (c) m (d) 0 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000078626022 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19567)\/119 + 8\/(-14). Let j = l + 344. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.3. Let q = 2353 - 11763\/5. Sort -12, q, u, -1.\nAnswer: -12, -1, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1*(3 - 3). Let y be 12\/24 - j\/2. Is (3 - -50)*1\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1, 3, -2\/15, -0.53 in increasing order.\nAnswer: -0.53, -2\/15, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -328052\/131897 + -2\/3217. Let v = 2827\/164 + d. Find the common denominator of ((-2)\/(-3))\/(20\/(-177)) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 6*h**2 - 5*h + 4. Let i = -12 - -7. Let t be f(i). Solve -t = s + s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 159768?\nAnswer: 159768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:16 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*a + 143*a - 13350 = -226*a + 2*a for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1994978233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 343203 (base 5) to base 11\nAnswer: 9275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 112586.2 and 2458028.2.\nAnswer: 2570614.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2165356 (base 7) to base 14.\nAnswer: 6db66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1 = 3*x - 2, -2*x - 2*s + 16 = 0. Suppose x*r + 20 + 20 = 0. Let t be (-2)\/r - (-44)\/(-48). Sort 2\/11, 0, t in decreasing order.\nAnswer: 2\/11, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3. Let h(z) be the second derivative of z**3\/6 - z**2\/2 + 20*z - 2. Determine 3*h(y) - v(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 21*q + 240 = 0. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)\/k*k\/k**(-1\/2))\/(k**(2\/67)*k**14*k) assuming k is positive.\nAnswer: k**(-1947\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1182 divided by -6\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*((-2 + 2 + t)*(0 + 1 + 0) + 1117*t - 2122*t + 1180*t) to the form j + h*t and give h.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 4*q + 3. What is l(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484597053?\nAnswer: 3, 17, 31, 34057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 3. Let x(t) = -7*t - 8. What is -10*c(y) + 4*x(y)?\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -230?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + g**2 - g. Let v(b) = 2*b**3 + b**2 - b. Let x = -99 - -102. Suppose -2*l + n = 1, 0 = x*l - 5*n + 26 - 7. Determine l*v(c) - 2*s(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7426491184 - 3268.5.\nAnswer: -7426494452.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.572 + 5.972. Do 54.8 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 1905*s + 1894*s + 1887*s - 5572*s. Let c(d) = -10*d - 2. What is c(g(z))?\nAnswer: -10*z**2 - 1140*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (-2 - (3 + -5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -250 + 210. What are the prime factors of 3\/((-36)\/w)*3276\/20?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 46\/14 + -3 - 48\/(-28). Solve n - 1 = o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 20\/6 - 2*(-4)\/12.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 95*x + 968. Give d(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10002443?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 81030 divided by 36\nAnswer: 13505\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 107.72894 and -274.\nAnswer: -166.27106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*i - 3)*(3*i + 4 - 4) + (-3 + i**2 + 3)*(2 + 0 + 0).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -28. Suppose m = -2*y + p, y + 16 = 4*m + 5*y. Factor -7*r + 7*r + 3*r**m - 9*r**2 + 12.\nAnswer: 3*(r - 2)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -215.094, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 190 + -164. What is the smallest common multiple of h and 5?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(5) + 2 + -1))**2 + 3.\nAnswer: 2*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) - (-10)\/(-14). Suppose -x + 7 = 4*v - 4*x, x = 3*v + 1. Let k = -0.1 + 0. Which is the nearest to k? (a) h (b) 1\/6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*i*w**4 - i*w**3 + 5*i*w**2 - 306*i wrt w?\nAnswer: -12*i*w**3 - 3*i*w**2 + 10*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/22 + 10920\/880 + -13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -19. Let l(w) = 286*w + 55. Give l(h) + 3*t(h).\nAnswer: 286*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -1 in descending order.\nAnswer: -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113270 - 113270 + 14*h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - n + 3 = 0, -4*y = 22305*n - 22308*n - 30 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3\/9 - 28442924*b**2\/9 + 101124990708722*b\/9 = 0.\nAnswer: 0, 7110731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -4, -508, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v**2 + 2368*v + 18. Let p(s) = 13*s**2 - 3552*s - 28. What is -11*d(k) - 7*p(k)?\nAnswer: -3*k**2 - 1184*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24826342 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - sqrt(242)*2) + sqrt(242) + 2 + -1 + -2*sqrt(242) + 3*2*sqrt(242) + -2)**2.\nAnswer: -88*sqrt(2) + 3873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - (-88)\/(-20)) + -1. Put 3\/4, 0, g in decreasing order.\nAnswer: 3\/4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9831458 - 4890387. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858925 is divided by 428047.\nAnswer: 2831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546 and 213096?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-24))\/g*g)\/(g*g**(-1\/41))*g**6\/g*(g**(-8)\/g)\/g assuming g is positive.\nAnswer: g**(-1188\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4826323 divided by 4826323.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111476.779012 + 111477. Let x = 0.221 - m. What is x rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/12 - b**5\/5 - b**4\/12 + 2*b**2 + 23. Factor i(l).\nAnswer: -2*l*(l + 1)*(5*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4873598?\nAnswer: 2, 1249, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -80, -150, -258, -416, -636, -930?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.73 + -18.73. Which is the third smallest value? (a) 0.2 (b) -0.755 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*h + 102, -2*h + 4*w = 8*w - 48. Let r(b) = 2*b - 2. Calculate the smallest common multiple of h and r(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*s**5 + 187*s**4 - 9871360*s + 26214400 + 807616*s**2 + 45337\/2*s**3 = 0.\nAnswer: -128, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7846 and 0.1.\nAnswer: 784.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let k = 15.9 - -14.1. Let l = 31 - k. Which is the closest to l? (a) f (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9335 - 2848347.3?\nAnswer: -2848346.3665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 142 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 19*y**2 - 90*y - 22. Let h be q(-11). Solve -2*n + h*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + g. Let d be w(-1). Suppose d = 4*m - 3. Let o(n) = -n - m + 2 - 1. Let r(a) = 4*a. Determine o(r(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 108202, 108200, 108198?\n\"Answer: -2*w + 108204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 891025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18479 * -16105.\nAnswer: 2976.04295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 1331*u**4\/2 + 359612*u**3 - 589644*u**2 + 321840*u - 58536 = 0.\nAnswer: -542, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6944466 divided by -67422?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 16.8?\nAnswer: 50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1082.2 - -1082. Sort 2\/9, 2\/3, s, -96.\nAnswer: -96, s, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-112)\/(-98) - (48\/(-14) + 3) and 2\/3*(-1548)\/(-48).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*y - 314 = 0, 0*y + 316 = 2*z - 3*y. Let f(p) = 15*p**2 + 68*p + 6. Calculate the remainder when z is divided by f(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2795+7474119\nAnswer: 7476914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1574.7 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/72 + 1491\/24)*1. What is the greatest common factor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 1. Let k(w) = w - 1. Let p(z) = 5*k(z) - 3*q(z). Let j be p(-6). What is the tens digit of 54*(j + 24\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9 - (14185\/585 - 8*3)\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31ab25 (base 12) to base 2.\nAnswer: 10111111111011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -5, -0.14, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3 + 13*g**2 + g + 25. Determine h(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 250396.2l in millilitres?\nAnswer: 250396200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 822768486 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6652, -53162, -179398, -425224, -830504, -1435102, -2278882, -3401708?\n\"Answer: -6644*y**3 + y**2 - 5*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2628725899?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-25))\/(3\/15). Suppose 4*i = b*v + 5 + 1, 5*i = -5*v - 75. Let m be v\/(-11) - 1*3. Are -1 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llx when three letters picked without replacement from {x: 6, l: 7}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3 - 12*y**2 + 8*y - 6. Let k(l) = -2*l**3 - 4*l**2 + 3*l - 2. Let p(d) = 17*k(d) - 6*m(d). Suppose 4*n = -n - 10. Give p(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1799*p - 5033*p - 7550*p as j*p + x and give j.\nAnswer: -10784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9311.238l in millilitres?\nAnswer: 9311238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15313)\/(-7655) - (-1 - -3). Let z = s - -696569\/91860. Calculate the common denominator of z and ((-1)\/16)\/((-4)\/(-284)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*d + 151 = -341 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 5, -2071 in decreasing order.\nAnswer: 8, 5, -1, -2071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 8. Let c = 10 - 8. Suppose c*s = -s. What is the closest to s in 3, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 225\/60*(-624)\/(-10140)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 12*v**2 + 38*v. Let f(y) = 5*y**3 + 47*y**2 + 155*y. Let g(n) = -2*f(n) + 9*s(n). Factor g(a).\nAnswer: -a*(a - 16)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50\/19, 0.07, 0.4.\nAnswer: -50\/19, 0.07, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-32)\/40 - (-32)\/(-10)) + 5. Solve -2*x - 4*b - 4 = -4*x, -2*x = b + q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38918814 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72*-9136692.\nAnswer: 657841824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6012)\/(-501))\/((-6)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2011, -7594, -16883, -29866, -46531, -66866, -90859, -118498?\n\"Answer: 2*g**3 - 1865*g**2 - 2*g - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.14 (b) -1\/4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*d + 218 = 0, 4*s + 291 = -0*s - 3*d. Let i = s + 127. Suppose -3*v - 224 = -5*m, 2*m + v + i - 149 = 0. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3 - 12 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 9*x - 8. Let n = 8 - 1. Determine r(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + s = 44, 3247*v = 3232*v + 3*s + 7 - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2. Let h(c) be the third derivative of -25*c**4\/24 + 3*c**2 + 19. Give i(h(m)).\nAnswer: -2500*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805336.8 years to months.\nAnswer: 9664041.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 731414 to the power of 1\/2, to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115\/12 - 109\/12. What is the common denominator of m and -39\/5806?\nAnswer: 5806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*y**2 - 832 + 832 in the form q + b*y**2 + c*y and give b.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 57, -2046, 4, -5, 3 in increasing order.\nAnswer: -2046, -5, -2, 3, 4, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -502*y - 453*y - 1 + 2 + 905*y in the form q + z*y and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 4)*(0*b - 2*b + 0*b) + 0 + 0 - b + 3*b + 5*b - 3*b + 4 + 0 + b - 1)*(698 - 698 + 54*b**3).\nAnswer: 378*b**4 + 162*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 21 = -r, -5*r = 29*o - 24*o - 45. Let p = 2 - 1. Let x(i) = i**3 + 11*i**2 + 9*i - 14. Let c be x(-10). Put 0, c, p, o in increasing order.\nAnswer: c, 0, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minus -3329723?\nAnswer: 3329734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 85*w + 85. Let c(i) = 5*i + 5. Let n(q) = -35*c(q) + 2*s(q). Let v(m) be the second derivative of -m**3\/6 - m**2\/2 + 2*m. Calculate n(l) - 4*v(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, -29, -61, -117, -203, -325?\n\"Answer: -z**3 - 3*z**2 + 2*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 10:46 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3144 and 21.\nAnswer: 22008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(2*r - 3*r + 5*r) + (-4*r - r + 6*r)*(0 - 3 + 5).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 10*k - 2759418. Let o(c) = -182377*c**2 + 7. Let z be o(-5). Let u = z + k. What is u rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*p + 67*p + 4*p + 4*p to the form i*p + h and give i.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8956475, -8956477, -8956481, -8956487, -8956495?\n\"Answer: -n**2 + n - 8956475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 7*p - 79. Calculate the remainder when 122 is divided by p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {t: 2, e: 2, k: 1, q: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18945 by -2105.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -503971\/6 - -84453. Let i = v + -3675\/8. Find the common denominator of i and ((-33)\/(-20))\/(4\/(-15)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139*r - 335*r**5 + 139*r - 76*r**5)*((-1 + 1 - 1)*(1 - 3 + 3) - 4 + 1 - 3 + (-3 + 0 + 5)*(-1 + 1 + 2)).\nAnswer: 1233*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 49 + -97 + 14 - (-11 + 1)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*f = -14, 0 = 512*g - 508*g - 4*f - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t\/(t*t\/((t**(-10)*t)\/t)))*t**(-1\/9)*t assuming t is positive.\nAnswer: t**(107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w - 4*s, 5*w + 2 = 3*s - 1. Suppose 5*p - 15 = -w*p. Suppose p*u = 2*v + 185, 2*v - 4*v + 67 = u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.1238 + 0.1238. Which is the second smallest value? (a) 0.1 (b) d (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(200) + -4*sqrt(200)*2)**2 - ((sqrt(200)*-3 - sqrt(200))*-5*2)**2)*4.\nAnswer: -1240736 - 2240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15*w + 23. Let n(o) = -5*o - 8. What is -11*n(f) - 4*y(f)?\nAnswer: -5*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 19\/4, 0.1, -0.49?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*j + 5*j + 3 = 0, g - 25 = 5*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*d + 333 - 333)*(3*d**3 + d**4 - 3*d**3) - d**5 + d**5 + 2*d**5.\nAnswer: -29*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -14*j**3 - 5*j + 3. Let h(s) = -42*s**3 - 14*s + 9. What is -4*h(b) + 11*z(b)?\nAnswer: 14*b**3 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 0*r**2 + 0 - 2*r + 13\/12*r**4 + 0*r**3 + 4\/5*r**5. Find the third derivative of h(s) wrt s.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 5*j - 35, 4*o - 654*j + 659*j + 45 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k + 21*k = -45. Let n = 0.95 - -0.05. Which is the nearest to n? (a) -3 (b) k (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1468 = -5*l, 21*c = 3*l + 16*c - 894. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -11, 2, 0.5, 4.\nAnswer: -11, 0.5, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359 - 964 = -595*r + 1180. Factor 0 - 8*d + 40\/3*d**2 - 6*d**r + 2\/3*d**4.\nAnswer: 2*d*(d - 6)*(d - 2)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150067291 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -13*z**6\/360 - 7*z**4\/24 + 5*z**3 + 9. Let q(f) be the third derivative of l(f). Differentiate q(i) wrt i.\nAnswer: -26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1995 is divided by 189?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a2a68 (base 12) in base 13?\nAnswer: 3338c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2254*c*o**2 - 94*c*x**2 - 101*o**2*x**2 + o*x**2 - 5*x**2 - 56 wrt c.\nAnswer: 2254*o**2 - 94*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 1384 = 1496 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1179 and 9982593?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3 + 1 + 0)*(-15691 + 31700 - 15734).\nAnswer: 550*n - 550","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -38757*c + c**2 + 38757*c - 5. Let b(m) = 2*m**2 - 6. Give -5*b(f) + 6*z(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 + 2*b**2 - 4*b**2 + 2 - 2 + 2*b**2 + b**2 + 3*b**2 - 5*b**2 + (-3*b + 3*b - 2*b)*(0*b + 4*b - 3*b) - 8225 - 10*b**2 + 11*b**2 + 8226 - 1695*b.\nAnswer: 2*b**2 - 1695*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -16 + 7 + 9 + 33*q. Suppose -c - c + 4 = 0. Let o(s) = -1405 + 1405 + 2*s**c. What is o(w(h))?\nAnswer: 2178*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:50 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, k: 2}. What is prob of picking 1 f and 1 k?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*h*i*l**3 - 2*h*i*l**2 - h*i*l*m + 1077051*h*l**3*m + 11*h*l*m + 2*h*l + i*l**3 + 122382*i*l**2*m - i*m + l*m - 2*l wrt l?\nAnswer: 108*h*i + 6462306*h*m + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:52 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -3*r - 0*c - 3*c, 3*r + c + 57 = 0. What are the prime factors of (-246)\/r + (-4)\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7531*k**2 - 3756*k**2 - 3779*k**2 - 2*k**3 + 79.\nAnswer: -2*k**3 - 4*k**2 + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*s - 8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (81*f - f**2 + 1 - 81*f)*(4 - 1 - 4) - 149*f**2 + 4*f**2 - 202*f**2 in the form b*f**2 + m + t*f and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 114220 = 151472. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*x + 25, -f - 19 = -3*x + 5*x. Let d = -6 - f. Let j = 2 - d. Sort -2, j, -3 in descending order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1177 - -1659. Suppose 298 = 3*w - c. List the prime factors of w.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 23*k + 17. Let j(u) = 2*u**2 + 46*u - 33. Let h(r) = -3*j(r) - 5*q(r). List the prime factors of h(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c5041 (base 13) in base 11?\nAnswer: -1737553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1824 is divided by 247?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.245 + -101.755. Let d = 101.882 + i. Let u = 0.05 - d. What is u rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 132 in -0.01, 2, 1, -4\/7, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 - 4*n**2 + 16*n**3 - 5*n**2.\nAnswer: 16*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from {p: 2, x: 1, v: 1, g: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 4. Calculate w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 4518791\nAnswer: 1\/4518791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.57 - 1.97. Let d = -20.53948747 + -11.06051124. Let t = y + d. Round t to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7) + -6 + (-39683)\/(-147). Let f = 248 - p. Find the common denominator of 26\/87 and f.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -639*j**2 - 652*j**2 - 659*j**2 + 1961*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 8*y + y)*(-1 + 1 - 2*y).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 20.8. Let y = 1.2 - u. What is the biggest value in 5, y, -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/51 and -11\/8?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5504583 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: Simplify (b**(-30))**(-38)\/(b**(-14)*b*b**10) assuming b is positive.\nAnswer: b**1143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.8. Let g = 12 + -20. Let s = -9 - g. What is the second smallest value in 0, r, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*r - 220*r - 709 + 94 = 0 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(1\/3)*b*b))**(-26)*(b\/((b\/(b\/(b*b**(-3)*b)*b))\/b))**(9\/4) assuming b is positive.\nAnswer: b**(131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**7\/35 - 3*r**6\/80 - r**5\/40 - 5*r**2. What is v in b(v) = 0?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.35 + 0.35. What is the nearest to 2\/5 in c, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-10) + (-19)\/(-5). Suppose 6*t - 4 = h*t. Suppose 0 = -o + t. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**2 - r. Let v be j(1). Let k(p) = -2*p + 4. What is the units digit of k(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40610136313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1. Let f = -59\/2 - -409\/14. What is the nearest to y in f, 2\/7, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + (sqrt(605) - (sqrt(605) + sqrt(605) + 1 + 0)) + sqrt(605) - (sqrt(605) + (-1*(0 + sqrt(605)) - sqrt(605))))**2.\nAnswer: -44*sqrt(5) + 2421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4180 + 4218 - (54 + 2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3 - 7*k - 52 - 15*k + 20*k. Determine b(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10757 + -0.4.\nAnswer: -10757.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 6 + 12 = 0. List the prime factors of (258\/(-4) - n)*(-1 + -1).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (-6 - -4))*2. Let q(r) = -3*r - 18. Let j be q(s). Suppose 3*f - 18 = j. What is the remainder when 39 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 41a7b?\nAnswer: -41a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 10*f - 8. Let y be i(7). Differentiate -9*w + y - 9*w + 23 - 45*w wrt w.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88022 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490879322 and 890?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615 = -21*m + 62*m. Solve -9*u - m = 6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.1 (c) -5 (d) -1\/2 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -499 bigger than 10090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) -2\/5 (c) 16\/21 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1110 * -1\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2\/5 (c) -0.23 (d) 1\/44 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 623*d**4 - 450*d?\nAnswer: 7476*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1053.4 and 0.05.\nAnswer: -1053.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (1 - 6))\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**35)**38 assuming o is positive.\nAnswer: o**1330","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043235213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 71 + 2*a**4 + 10*a**2 - 26 - 24. Find the second derivative of f(r) wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Let x(i) = -3*i - 1 - 2*i**2 + 4*i**2 + 2. List the prime factors of x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/8 and -42\/131528753?\nAnswer: 1052230024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -80*q**2 + 8*q - 12. Let g be z(-6). What is g rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 176, 69, -2, -3 in decreasing order.\nAnswer: 176, 69, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l - 22 + l**3 + 0*l**3 - l**2 + 0*l - 7*l. Determine o(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -3, -48, -8 in decreasing order.\nAnswer: 3, 0, -3, -8, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*((h**37*h)\/h*h)\/h)\/h*h*h\/(h*h**27)*h*h**(-30)*h**(-36)\/h*h assuming h is positive.\nAnswer: h**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(110)*2*-2)\/(2*sqrt(1584)))\/(((sqrt(3520) - 3*sqrt(3520)) + sqrt(3520))\/(sqrt(1584) + sqrt(1584)*3 + sqrt(1584))).\nAnswer: -15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 0*o**4 + 0 - 1\/20*o**5 + 0*o**2 + 2*o - 1\/2*o**3. Find the second derivative of u(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 9*j**2 + 24 + 3*j**2 + 9 - 62 + 2*j**3 to a*j + u*j**2 + w + v*j**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*y - 82*y + 928 = -39*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6*p = 287. What are the prime factors of p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 - 8*i**2 + 4*i + 8 = 0. What is i?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1938 divided by 3.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*d - 17*c**3 + 95*c**2*d*p + 2*c**2*p + d*p + 4*p wrt d.\nAnswer: c**3 + 95*c**2*p + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 0.4, 0.1.\nAnswer: -48, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 763 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -192?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**4 - 2*m**3 - m**2 - 3. Let r(c) = -6*c**4 + 14*c**3 + 61*c**2 + 16*c + 3. Let p(b) = -3*r(b) - 3*u(b). Determine y, given that p(y) = 0.\nAnswer: -2, -2\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 15, 25, 45, 81, 139, 225, 345?\n\"Answer: o**3 - 4*o**2 + 11*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11397051 divided by -11397051?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 959*h - 2. Let i be v(1). Let a = i + 2876. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 301, 311, 325, 343, 365?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 1. Let z(v) = 2*v. Let x(k) = -3*m(k) - z(k). Let t be x(-9). Let w(d) = -5*d - 3. Is w(t) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86 and 18382016.\nAnswer: 790426688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/7)*f\/(f**(-28)*f)*(f**(4\/3)\/f)\/(f**9\/f) assuming f is positive.\nAnswer: f**(439\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 13) to base 4\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 5*x + 4. Let f be n(-3). Let o be (-3)\/f*16*-1. Let r = 16 - o. Calculate the highest common factor of r and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2655313 is divided by 157?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 800 and 9641400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 672258, 2689001, 6050234, 10755951, 16806146?\nAnswer: 24200813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -1\/2, -5, -3120, 1\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 13*w**2 - 1 - 9.\nAnswer: 13*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(-2)*(-328)\/4305*15?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-72)*3 + 4\/((-80)\/(-110285)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -753950.\nAnswer: -1\/753950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 761*m**3\/2 - 5*m**2\/2 + 20*m. Is s(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + sqrt(19) - sqrt(19))*1 + ((sqrt(171)*-1)**2 - sqrt(171))).\nAnswer: -1026 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 17 + 2*p**3 - 7.\nAnswer: -p**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = 3. Suppose -6*y + 11*y = -5*l + 5, o*l = 5*y + 49. Let c(u) = 5*u + 8. Is c(l) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3755*j - 378. Is t(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**6\/2 - 8*d**5\/5 - 14*d**4 - 32*d**3\/3 + 24*d**2 + 20. Determine v, given that m(v) = 0.\nAnswer: -2, 0, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37251 at most -37550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -4*b - j + 6, 2*j - 16 = -b. Suppose 55 = b*c - 11*c. Put -4, 1, -58, c in increasing order.\nAnswer: -58, -4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from ctbcfroobtto.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 2 (c) 0 (d) -2\/11 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.43 - 1.35. Let a = -0.92 - j. Let w be -1 - 1*(-2)\/4. What is the second smallest value in -9, a, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 32 = 5. Let j be 42*(-24)\/14*-1. What is the highest common factor of v and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 8:44 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52783 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 1. Let k(v) = v - 5*v - v**3 - 4*v**2 - 20 - v**2 + 21. Give k(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + (62 - 49)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16076, 16066, 16056, 16046?\n\"Answer: -10*n + 16086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/169, -4, -3.512, -0.2 in increasing order.\nAnswer: -4, -3.512, -0.2, -3\/169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446 - 266 + 247 + 240 - v + 4*v**2.\nAnswer: 4*v**2 - v + 667","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*s = 5*f + 21, 0 = -5*s + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or 30\/1313?\nAnswer: 30\/1313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -825, -1207, -1571, -1917, -2245?\nAnswer: -2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (700\/1176 + 40\/(-420))*-114.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86901809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-4)*10)\/((8\/2)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 27*g - 24. Let x be m(28). Let j be 3 - 21\/(-12) - 3\/x. Solve -2*n = 3*d - 0*n + 16, 2*d - j*n = 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, 8 in descending order.\nAnswer: 8, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (133 - 3\/(-1)). Suppose y = 2*b - 760. Suppose -b - 268 = -5*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 1 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 17*h**5\/60 + h**3\/2 - 10*h**2 - 12. Let u(f) = 16*f**2. What is q(u(y))?\nAnswer: 4352*y**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/8 and -12\/481286527?\nAnswer: 3850292216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qll when three letters picked without replacement from qqqqqlqqqlqqll.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*t - 36 = -0*c, -2*t - 20 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/498 + -11447\/3486. What is the common denominator of n and (-6)\/(-27) - (-328)\/63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/10452 and -17\/143?\nAnswer: 114972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -319475*s**2 + 1966*s. Let o(u) = 974*u**2 - 6*u. What is -3*l(g) - 983*o(g)?\nAnswer: 983*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27861.\nAnswer: 3, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324559.\nAnswer: 59, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-2\/71))\/k*(((((k\/(((k**(-36)\/k)\/k)\/k)*k)\/k)\/k)\/k)\/k)\/k*k**(-10\/7)\/(k*k**(2\/3)*k))**41 assuming k is positive.\nAnswer: k**(2013223\/1491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/18 and 169\/1340640?\nAnswer: 1340640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 0. Suppose c = -4*n + 19. What is the third derivative of -f**n + 4*f + 2*f**2 - 4*f wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 1 = -i - p, -4 = 3*i + 4*p. Suppose -2*c + 0*c = -6. Solve c*g + 1 + 2 = i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -89) + (234 - 282).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 10*s\/3 - 16.\nAnswer: 2*(s - 8)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 567 + 566 - 1134 + 46*i to the form a + u*i and give u.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 38*h**2 - 367*h + 13. What is g(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15916031.00921 - 15916388. Let y = 357 + o. Round y to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 16. Let m be t(12). What are the prime factors of (-7)\/(1\/m - 0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 9, -5 in ascending order.\nAnswer: -5, 9, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Suppose 3*a - a + 20 = z*x, 0 = -x + 3*a + 18. What is the smallest common multiple of x and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 2:04 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 45. Let q = -1270766884.00000119 + 1270766909. Let j = l + q. Round j to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4 - 11*z**2 - 19*z**2 - 13*z**3 - 26*z - z**3 - 8 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = n - k, -89*n - 74*k + 736 = -91*n - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -71, -59, -29, 25, 109?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -219991.752 and -0.2.\nAnswer: -219991.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5320)\/2926*11\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 7:03 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5351.064 + 5350.81400019. Let w = -0.25 - u. What is w rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -150 or -149?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352563 and 92951529.\nAnswer: 11373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.271956 millilitres?\nAnswer: 0.008271956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126.889 - 126.889. Let g = -187\/42 - -30\/7. Which is the closest to 1? (a) g (b) 77 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679683 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, c: 1, v: 6}. What is prob of picking 1 n and 2 v?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 2367834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1570 divided by 5.\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -541*h**4 - 2*h**2 - 54*h**3 - 131*h + 127*h - 535*h**4 + 1067*h**4 in the form n*h**4 + a*h**2 + x*h**3 + o + q*h and give x.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1189*q - 9 - 10 - 127*q**4 + 18 + 4*q**3 - 1189*q to the form h*q + y*q**2 + n + d*q**4 + f*q**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**7\/1260 + f**6\/90 - f**5\/20 + f**4\/9 - 4*f**3\/3 + 15*f. Let s(p) be the second derivative of x(p). Factor s(v).\nAnswer: -2*(v - 4)*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2013748 and 990?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krzzyzomokoook. What is prob of sequence zy?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 5. What is the smallest common multiple of 63 and s(-2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 332, 330, 342, 368, 408?\n\"Answer: 7*z**2 - 23*z + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-2\/55)*n*n*n**35*n assuming n is positive.\nAnswer: n**(2143\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/10*26\/(-1300)*-25. What is the closest to -1 in -1, 43\/5, o, 1.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 595\/84)*1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**5\/30 + 223*k**2 - 255*k. Let v(g) be the first derivative of r(g). Let l(t) = 17*t - 3 + 3. Calculate v(l(c)).\nAnswer: 578*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:12 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 190.062 - 191.8. Let z = 1.6359 + l. What is z rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -3*k + 12*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131362 is divided by 21892.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 33672?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/17*2\/(-4))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-8)\/(-5) + -2) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3930 - -4022.26. Let v = l + -64.4. Let g = v - 0.86. Which is greater: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 413911962 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -24*t + 1. Let f(n) = -71*n + 3. Determine -6*f(m) + 17*y(m).\nAnswer: 18*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ararafaafraarafafaaa. What is prob of sequence af?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 2:33 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -345 at most as big as -213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let x be o(-2). Which is the smallest value? (a) -0.1 (b) -16 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 882 - 878. Let w be -3 - (330\/18)\/(-5). Which is the biggest value? (a) u (b) w (c) 295\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -210. Let x = u - 181.7. Let z = x - 13. Are z and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from aabbllqaal.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, d: 3, y: 4}. Give prob of picking 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-2 + 3 + -1 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -125, -141, -163, -191?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/((-1)\/(-6)). Suppose 1 = n - w. What is the greatest common divisor of n and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1026 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Suppose p*i - 12 = 6*i. Let b = 5\/2 + i. Sort b, 2\/7, 3 in descending order.\nAnswer: 3, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40743 and 3240.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 4 = -12*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -75*y - 56 + 119. Solve -y*m = 48 - 32, 0 = -5*d + 3*m + 29 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3205, -12866, -28985, -51562, -80597?\n\"Answer: -3229*r**2 + 26*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 6*i**5 + 5*i**3 - 119*i**4 + 250*i**4 - 121*i**4 + i**5 - 2*i**5 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u - 8. Let k be p(4). Suppose y + 175 = -k*y. Is y smaller than -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14785680 divided by -61607.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p. Let u(g) = 2*g. Let h = -14 + 20. Let t(x) = -x. Let f(k) = h*u(k) + 13*t(k). Give o(f(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2 + 1 + (-34)\/38.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2724000 and 8800?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:15 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0325 - -2.0325. Put -5.7, m, -3, -1\/4 in increasing order.\nAnswer: -5.7, -3, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 12*i = 7*i + 14, -2*i - 6 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9092611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -288\/7*n + 3\/7*n**3 - 240\/7 - 45\/7*n**2 = 0.\nAnswer: -4, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6146 = 433*n + 23731 for n.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -19*g**9\/30240 - 11*g**6\/360 + g**5\/5 - 16*g**2. Let n(u) be the third derivative of k(u). Differentiate n(z) wrt z.\nAnswer: -114*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*l + 376, -3*m + 930 = 2*m + 5*l. Does 26 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**18*p)\/(p\/(p\/p**(18\/5))))\/(p**7)**(-19))**47 assuming p is positive.\nAnswer: p**(26649\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -383*q*u + 20777*q + 31146760*u wrt q?\nAnswer: -383*u + 20777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (55\/15*1)\/(1\/249)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q. Let w(t) = -2*t + 108. Calculate d(w(u)).\nAnswer: -4*u + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125 - -229. Let r be j\/32 - (-1)\/(-4). Suppose 5*x = 4*n - n + 51, 15 = x - r*n. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 8*t - 2. List the prime factors of l(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55? (a) -4 (b) 0.1 (c) 1\/1407 (d) -1\/8 (e) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2742814?\nAnswer: 2, 17, 80671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4436, 8871, 13306, 17741?\n\"Answer: 4435*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1530 and 1615975?\nAnswer: 494488350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3 + 2506358*j**2 + 37595171*j + 65164918 = 0?\nAnswer: -2506343, -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1166217 is divided by 129577?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 123877299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -184298.6 * 21\nAnswer: -3870270.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 100, -3\/4, -4\/7 in increasing order.\nAnswer: -3\/4, -4\/7, -1\/2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 4, -2, -1\/5.\nAnswer: -96, -2, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70280422.7 rounded to the nearest one hundred thousand?\nAnswer: 70300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 249950 * -3.\nAnswer: -749850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 9. Suppose 3*g = 4*y - b, 0 = g - 3*y - y + 6. Let z = 1623 - 6491\/4. Sort z, -5, g in decreasing order.\nAnswer: z, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, h: 1, t: 4, w: 2, r: 5}. What is prob of sequence wrrw?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0327, -16\/539, -0.75?\nAnswer: -16\/539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 3*m = 5*v + 1252, -3*m + 484 = 2*v. Calculate the remainder when v is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -38. Let a be (-22 - -18) + i + 7. Factor a*g**2 + 8*g + 2*g**4 + 8*g**3 + 11*g**2 - 3*g**2 + 2 + 0*g**2.\nAnswer: 2*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - d + 1. Let z(l) = l**3 + 4*l**2 + 5*l - 4. Suppose -3*h + 32 = -5*i, -5*h = 5*i - 0*h. What is i*g(t) - z(t)?\nAnswer: -t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 666a + 11?\nAnswer: 667b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -d + 3*r, 54*r + 216 = 2*d + 55*r. Suppose l + 15 - 51 = 0. What is the greatest common divisor of d and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -102 and 1041870 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -8. Let s(k) = 5*k**2 + 6*k - 5. Let o(z) = -4*z**2 - 5*z + 4. Let m(l) = -4*o(l) - 3*s(l). Let y be m(w). Put 0, -5, y in descending order.\nAnswer: 0, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 2, y: 1, p: 1}. What is prob of sequence jy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5)*(967*x + 4 - 478*x + 4*x**3 - 487*x - 75*x**2).\nAnswer: -8*x**3 + 150*x**2 - 4*x - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 8*w**2 - 33*w - 9. What are the prime factors of r(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, 440, 0.5 in decreasing order.\nAnswer: 440, 0.5, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-39)\/(-2))\/(9*(-9)\/2052). Let o be 2\/7 + c\/(-133). Let d be 2 + (0\/(-2) - -1). Put d, o, -17 in increasing order.\nAnswer: -17, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 100.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -0.084?\nAnswer: 0.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5bc - 0?\nAnswer: 5bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*l - 73*l + 205 = 0. What is the remainder when l is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 + -87 - 3\/4 - -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*(2\/72)\/(2\/(-4)). Let p = -1.1 - -3.1. Which is the nearest to -1\/2? (a) h (b) p (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 314, 315, 316, 317, 318?\n\"Answer: v + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 156 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 22 - 6 - 14 + 5*l - 7. Let c(h) = h + 1. What is 4*c(i) + q(i)?\nAnswer: 9*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 c, 1 a, and 1 i when four letters picked without replacement from zmzzoiiiaacoma?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 - -4.6. Let q = 1762.4 - 1762.2. Which is the smallest value? (a) q (b) n (c) -3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - l - 6 = 0, -3*l + l + 3 = -h. Suppose -3*s + 9 = -0*s. Let f(m) = -m**2 + 6*m - 5. Let z be f(5). Sort s, h, z in descending order.\nAnswer: s, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28841525?\nAnswer: 5, 19, 60719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - j = -5500, 5*g = -3*j + 13313 - 4145. List the prime factors of (-2)\/(-4)*((g - -12) + 5).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/22374 + 9665575\/156618. Determine s so that 216\/7*s + 36\/7*s**2 + 2\/7*s**3 + v = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13990124.66 rounded to the nearest 10000?\nAnswer: 13990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*((-4 + 2 + 4)*(2*o + 2*o - 2*o) - 4 + 4 + 3*o + 3*o + 0*o - 2*o + (-o - 1 + 1)*(35 - 76 + 38)).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 21. Let l(n) = 6*n + 83. Let h(s) = 14*d(s) + 4*l(s). Calculate h(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2 + 10825304*y - 14648400836552 = 0?\nAnswer: 2706326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6657, -13365, -20049, -26697, -33297, -39837, -46305?\n\"Answer: 2*s**3 - 6722*s + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 495, 504, 523, 558, 615, 700, 819?\n\"Answer: n**3 - n**2 + 5*n + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 249, 542, 941, 1440, 2033?\nAnswer: 2714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, -58, -1 in descending order.\nAnswer: 4, -1, -12, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c9a - -11?\nAnswer: -c89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37871982 is divided by 2573.\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*i + 28*i + 104536 = 115*i. What is the remainder when i is divided by 47?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 6. Let d(v) = v - 7. Let y(f) = -f + 8. Let k be y(6). Let t be 8 - (5 - k)*-1. Let z be d(t). Give o(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4448*a**4 + 9170*a**3 - 9035*a**2 + 2*a + 2974 wrt a?\nAnswer: -106752*a + 55020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + 1.99. Put 0.03, i, 0 in increasing order.\nAnswer: 0, 0.03, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a74c1 + 1e?\nAnswer: -a74a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11976 and 6.\nAnswer: 11976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/7 - 270\/(-140) and -19\/62.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 7:26 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 218743 + 218743.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 15 - 44 + 12 + 15. Let m(a) = -2*a + 8. Let c(z) = -4*g(z) - m(z). Determine c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 6427 = 13633. Calculate the greatest common factor of u and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855826.619 rounded to the nearest 100?\nAnswer: 855800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 271833.9975 and -84.\nAnswer: 271749.9975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 1:14 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynssttnttncsntnyn. Give prob of sequence tstn.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 632614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(85) + (sqrt(85) - -3*sqrt(85)*4) + sqrt(85) - 3*(-1*sqrt(85) - sqrt(85)))\/(2*(sqrt(5)*-1*4 + sqrt(5) + sqrt(5))*-5))**2.\nAnswer: 7497\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 1)\/(-1 - -3). Solve -p = -6 + k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -312 - 9*t**2 + 312. Let y(c) = -c**2. What is z(y(i))?\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29377 + 29377.089724. Let l = -4.09 + 4. Let b = q + l. What is b rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-13 + 9) - 20) + 10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(102)*-4)\/(sqrt(15)\/(sqrt(20) - sqrt(5))))\/((sqrt(1400) + sqrt(14))\/sqrt(7) + sqrt(16)\/sqrt(8)*3).\nAnswer: 2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69844 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-9))\/4 + 654\/9 + -57.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(162) - (1 + sqrt(162))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*15\/(-1260)*-27.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11791 + 7400 - 3547 + 2702)*(3*o + 4 - 4).\nAnswer: 55038*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**7\/420 + k**6\/240 - k**5\/24 + k**4\/16 - 56*k**2. Let q(n) = 0. Calculate n.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 2410724.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/p**(-29)*p*p)**(-23)\/((p\/p**(1\/7))\/p*p*p*p**(1\/41)) assuming p is positive.\nAnswer: p**(-224974\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/7 and -73\/31911.\nAnswer: 223377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*o**3*p + 7*o**3 + 39*o**2*p - 4*o**2 - o*p - 60343*p wrt o.\nAnswer: 90*o*p + 42*o + 78*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -126 - 4. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.280578 rounded to 3 dps?\nAnswer: 1.281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -348 - -2789\/8. What is the common denominator of ((-72)\/(-1017))\/1*-4 and h?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 - 5*q + 4. What is t(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 2) to base 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 578\/3 + -191. What is the second smallest value in 2, -0.5, -2, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-18))\/((-70)\/(-270)*-12)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 114\/(-2))*1. Let n be 174\/(-957)*11\/(-2). What are the prime factors of 1\/(n\/9*21\/f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225.4 + 225. Which is the biggest value? (a) 1 (b) 20 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798616 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*o + 3. Let j(y) = -2*y**2 + o - y + 0*y**2 + 3*y**2. Let l(t) = -t**3 + 3*t**2 - t - 2. Let z be l(2). Determine j(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + -3*sqrt(114))\/sqrt(6))**2 - sqrt(95)\/sqrt(125).\nAnswer: -sqrt(19)\/5 + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.6 in -0.2, -5, 2\/5, -1, 71?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3bc - 16a4?\nAnswer: -1a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214948 and 6410972.\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5566?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003770071 to the power of 1\/4, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 36838254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17818 - 7*k**4 - 19*k**4 - 5*k**2 + 5*k + 17820 to the form b*k**2 + m*k + v + f*k**3 + y*k**4 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 309, -42 in ascending order.\nAnswer: -42, -32, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, -0.4, 2\/17, -6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.61 + -0.39. Let k = m + 12. Let v = -3\/23 + -37\/69. What is the closest to v in 2\/9, k, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 26 - 9*h + 15*h + 57 - 4*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -12*t**2 - 4*t - 3. Let b(f) = 11*f**2 + 4*f + 4. Let h(n) = 5*b(n) + 4*w(n). Let q be h(-8). Suppose 7*l - 948 = q. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 59*z**2 + z - 1. Let c(l) = 58*l**2 + 2999*l - 2247002. Let p(h) = -2*c(h) + 2*w(h). Solve p(k) = 0 for k.\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**4\/12 + t**3\/3 + 5*t**2\/2 + 3*t. Let j be v(3). Solve 2 - 6 = -j*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 299332.7 millennia?\nAnswer: 299332700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43697275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 37451 = -5*i + 2*b, 0 = 4*i - 6*b - 30014. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, -7, -2.7 in decreasing order.\nAnswer: 0.5, 0, -2.7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -183419.401 to the nearest one hundred.\nAnswer: -183400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(144)\/((sqrt(8)*-1 - sqrt(8))*5) + -5 + 6*(sqrt(1800)*1 - sqrt(1800)))**2.\nAnswer: 15*sqrt(2) + 59\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19476*c**4 - c**3 - 30*c**2 + 210*c - 1 wrt c?\nAnswer: -467424*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28204\/4312 + 91\/(-14)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, u: 1, t: 1, k: 1, i: 3, p: 5}. Give prob of sequence uik.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36, 170, 302, 432, 560?\n\"Answer: -q**2 + 137*q - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 (base 9) in base 3?\nAnswer: -12001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15, -36, -57?\n\"Answer: -21*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 98 = -56. Let a(f) = -4*f**2 + 22*f + 42. Let z be a(b). Which is bigger: z or -1\/509?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86905 divided by 6685\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3270864 weeks in nanoseconds?\nAnswer: 197821854720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*v + 36 - 19 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.094 (b) 5 (c) -2 (d) 646 (e) -1 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29440.7 and 20.\nAnswer: -588814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/753 and 91\/1004.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y\/(y\/(y\/(y*y**6)))*y)\/y)\/y)\/y)**(3\/14)\/(y\/(y*y**(-2\/11)\/y)*y**(-16)) assuming y is positive.\nAnswer: y**(293\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + 1 - (1 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7866 - 8303. Is -458 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*l - 47 - 98 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3, 7, 9, 9, 7, 3?\n\"Answer: -s**2 + 7*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -826 smaller than -825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 2:55 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*t**4 + 8*t**2 + t - 94 wrt t.\nAnswer: 132*t**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49\/5? (a) -4\/7 (b) -24 (c) 0.3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*i - 111*i. Let u be (10\/4)\/(2\/4). Suppose -u*v - 84 = 2*h - 3*h, 4*h - 3*v - 336 = i. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (516\/(-8))\/((-5)\/30). Let t be (94\/(-6))\/(8\/(-120)). Suppose -t = -y - 2*b, -5*y + 1580 = 4*b + o. List the prime factors of y.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 34 = 3*g - 4*q, 4*g + q - 49 = 0. What is the hundreds digit of 117*g*(-21)\/(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5904058?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2110821*z - 482667 wrt z.\nAnswer: -2110821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -5.5. Which is the third biggest value? (a) 0.8 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-6))\/(12606\/1528).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23 - -1)*(-18)\/(-12). Let g = 14 - c. Let o = 6 + 10. What is the remainder when g is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 18*g - 126. Give n(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -52. Solve -2 = -3*c + r, 6 = l*c + c - 2*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 1, a: 1, u: 1, o: 1, k: 2}. Give prob of sequence kq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 10413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g. Let b(h) = 104*h**2 + 48*h**2 - 23*h**2. Determine b(s(i)).\nAnswer: 6321*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**2 - f**2 - 3*f**2)*(3*f + f - 3*f)*(-7*f - 34 + 34).\nAnswer: -21*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 5*m - 91. Calculate n(-8).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - 4*b**3 - 42 + 30 - 2*b**3 in the form o + v*b**2 + y*b + z*b**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -107*x + 4. Let z(g) = 1. Give -i(m) + 6*z(m).\nAnswer: 107*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 9 - 4 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 273, 294, 331, 390, 477, 598?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbfoofffofojfbff. What is prob of sequence bb?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 2:14 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1075\/225 + 2\/9. Let q be -2*(-3 + 2) + 1. Suppose -p + 350 = r + 96, -q*p - v*r = -768. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364127372 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: What is 250 minutes before 5:52 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.22 + 6.152. What is the third smallest value in v, -0.1, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/3, -2.1 in decreasing order.\nAnswer: 1\/3, -0.4, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49.6 + 59. Let d = x - 9.4. Which is the third smallest value? (a) -3 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -5 in descending order.\nAnswer: 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 811 + -811. Let u = -5 + 8. Put -2\/15, n, u in ascending order.\nAnswer: -2\/15, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1327, 5303, 11929, 21205, 33131, 47707, 64933?\n\"Answer: 1325*x**2 + x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6\/13 + -1\/26. Let o = -16313\/5 - -3263. Which is the nearest to o? (a) 1\/5 (b) q (c) -0.077\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 bigger than -3\/8942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 + 12*q**2 - 9*q + 6. Let v(u) = u**3 - u**2 + 1. Let m(a) = h(a) + 3*v(a). Let n be m(8). Solve -1 - n = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smsggssfis. Give prob of sequence gsg.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l = 105706 - 105726 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**3 + 0*d**2 + 2 - 31*d**3 + 13*d**3 + d**2 in the form u*d**3 + o*d**2 + j*d + g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*q = 8*q - 40*q + 74196107. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 1. Let t(x) = -x - 3. Let p(w) be the first derivative of -w**2\/2 - 3*w - 2. Let q(f) = -3*p(f) + 4*t(f). Give -k(r) - q(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 659538 and 90?\nAnswer: 3297690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10396 divided by -70\nAnswer: -5198\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -18. Suppose -d + n = 6, 0 = -0*d + y*d - 4*n + 28. Let x be 6*(d - (-29)\/6). Solve -x*m + 3*v + 17 = 2*v, 1 = 3*m + 4*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gttstgsgt. Give prob of picking 1 t, 2 s, and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -26*x + 2. Let c be f(0). Let o be 0 + -1 + 8\/2. Suppose c*w = -3*y + 68, 4*y + 0*w = -o*w + 90. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -157 (c) -1\/3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 34072 (base 9) to base 10\nAnswer: 22664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 541262.5 and 98100.\nAnswer: 639362.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/160*24*(-4)\/6*39\/(-52)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)\/(k\/k**1*k))**(-16)*(k**4*k\/(k\/k**(-2\/15))*k)\/((k*(k\/(k**0*k))\/k)\/k*k)**47 assuming k is positive.\nAnswer: k**(1033\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1835448 (base 13) to base 2.\nAnswer: -11110000111011000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -1. Suppose -y = 3*b - 25. Let q(r) = -114*r - 6942. Let t be q(-61). What is the highest common factor of t and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 4, f: 4, r: 10}. What is prob of picking 1 n, 1 r, and 1 s?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 13\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22752)\/(-1027) + (-8)\/52. Solve -4*y + 0*y = -n + 18, r = n - 5*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*2\/(-2)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.4392 - -2.4392. Which is the second biggest value? (a) -0.2 (b) -0.5 (c) l (d) 0.3 (e) -10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*u**2 + 27*u**2 - 11*u**2)*(3 - 2 + 3 + (2 - 3 + 3)*(-2 + 1 + 3) - 3 + 2 + 0) to r + p*u**2 + v*u and give p.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 2*g)*(2*g**2 - 5*g**2 + 2*g**2) - 8*g**2 + 8*g**2 - 30*g**3 + (-1 + 4 + 0)*(0 - g**3 + 0).\nAnswer: -31*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**2*h**3 - 71*d**2*h - 2*d**2 + 6*d*h**4 wrt h?\nAnswer: 24*d**2*h + 72*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 14*t + 2070. What are the prime factors of a(132)?\nAnswer: 2, 3, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4 + (2*sqrt(1700)*-1 + 0 + sqrt(1700) + 4)*-1)**2)*6*4.\nAnswer: 40752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 2, -0.2, 27, 2\/13, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2207 + 5*u - 37*u + 573 - 2831 + 31*u to the form m + h*u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24689.0932 take away 13.188?\nAnswer: -24702.2812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/2*(-21)\/(-14). Suppose c + l = 38. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20122 - -12?\nAnswer: 20134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c + 70*c - 28*c.\nAnswer: 68*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/754 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, -0.4, -11.61991 in descending order.\nAnswer: 1, 0.3, -0.4, -11.61991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*2*sqrt(104) - sqrt(104) - sqrt(104)))\/(sqrt(392)*-1*-3)*4.\nAnswer: 200*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Suppose d + 2810 = t*d. Round d to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.99 + 12.31. Let o = w + -6.32. Which is the smallest value? (a) 5\/4 (b) o (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 6 = 24. Which is the fourth smallest value? (a) 1\/5 (b) 0.4 (c) 4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 217 and 12803.\nAnswer: 12803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -4 - (6 - (14 + -7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1822128.31 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -44. Let i = 20 + g. Is i less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*f - 3. Suppose 4*m + 8 = -0*r + 5*r, f*m + 8 = 0. What is the second derivative of -2*u + r*u + 5*u - 2*u**2 + 0*u wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 2\/2 - -4. Does 8 divide 1 + i - (-5)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18863, -150825, -509031, -1206611, -2356695, -4072413, -6466895?\nAnswer: -9653271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 8*b - 1. Let f be r(-5). Let a = -10 + f. Let n be (7\/(-1))\/((-2)\/2). Solve 2*y - u = a*y - 8, -u = -y + n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 3*w + 5*w + w + 245*w**2 - 7*w.\nAnswer: 245*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 5*a**2 - 3*a + 5. Let i be 2\/(-3)*(0 + -12). Let f be 0 + 18 - 378\/18. Let o = f + i. Calculate x(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 11:09 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5\/9 - 19270*b**4\/3 + 415808576*b**3\/9 + 9349556168*b**2\/3 + 510163080704*b\/9 + 429760913408\/3 = 0.\nAnswer: -32, -3, 14486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/7)\/((-2)\/((-154)\/(-33))). Let l be (6*(-4)\/(-8))\/(-2). Which is the closest to 2? (a) g (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 - -1e?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.502096 - 22.5. Let u = t + -0.002. What is u rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12677020.5 and 0.003.\nAnswer: 12677020.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 + 3*f)*(1 + 1 + 0)*(-4 + 4 + f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*j + 90*j + 30 = 0. Suppose -2*x - x + 15 = 0. Solve 15 = 3*c, -2*m + x*c - j = -7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-310)\/(-186))\/((-10)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11\/2)\/(23\/46) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**9\/r)\/r*r\/r**(-1))\/((r**5*r)\/(r*r**8))*(((r\/r**(-1\/2))\/r)\/r*r)**(4\/7)\/((r\/(r*r*r*r**3))\/(r\/(r**(3\/7)\/r))) assuming r is positive.\nAnswer: r**(132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76905 and 855?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 13*p**5\/60 - 3*p**2 + p. Let y(u) = -12*u. What is a(y(t))?\nAnswer: 1872*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3399, 3417, 3459, 3537, 3663, 3849, 4107, 4449?\n\"Answer: 2*c**3 + 4*c + 3393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q + 736. Let k(t) = 11*t**2. Give w(k(x)).\nAnswer: 33*x**2 + 736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-300)\/(-160))\/((-81)\/(-12)) and 7\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 times 788.3557?\nAnswer: 65433.5231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 1\/2*i**2 - 4 + 0*i - 1\/6*i**6 + 0*i**4 + 2\/5*i**5 - 2\/3*i**3. Factor n(x).\nAnswer: -x*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -4*n + 11. Suppose 3*s = -2*s + 130. Suppose -s = -5*o + 3*o. What is the highest common divisor of n and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 g, and 1 f when four letters picked without replacement from {g: 3, z: 5, f: 5, j: 1, s: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -620 smaller than -619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 10*f + 32. Give t(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -47*k + 2503. Let j be y(53). What is the highest common factor of j and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2009 + -22071\/11. Find the common denominator of 3\/29 and v.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -606708 divided by 887\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 348\/7 + (-4)\/14*-1. Let q = m - 31. Suppose 0 = 2*s - 6, -d - 2*s = -0*d - q. What is the remainder when 38 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/2 + 66*d. Let w(r) = 1679 - 1679 + r**2. Determine q(w(a)).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -22*g - 3. Determine c(-3).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/1406 - (-98)\/418.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199148 and 140.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x - 13 = 18*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2293\/28 - -339\/4. Factor 10\/7*u + 2\/7*u**5 - 20\/7*u**2 - 10\/7*u**4 - 2\/7 + r*u**3.\nAnswer: 2*(u - 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*l + 12, 5*l - 35 = 7*h - 2*h. Let y(r) = -26*r - 16. Let n(w) = 5*w + 3. Give h*y(g) - 11*n(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 2*c**2 + 38*c - 142. Let s be k(-9). Sort s, -1, -3 in descending order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 35400*i**3 - 83579370*i**2 - 65888191040*i - 196913314185.\nAnswer: -5*(i + 3)*(i + 2359)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-53)\/(12402\/(-108)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 11.\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-3 - (36 + -20) - -4)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c71 - 0?\nAnswer: 1c71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 120*j - 585 - 4455. Solve -8*k = -18 + j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/20535473 and -7\/81208.\nAnswer: 164283784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4546 + -4547. Which is bigger: y or 1\/3797?\nAnswer: 1\/3797","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 - 2*u + 3. Let n(w) = -w. Let b(t) = -l(t) + 5*n(t). Let z(x) = -9*x**2 + 7*x + 7. Let f be 1\/((2\/3)\/(-2)). Determine f*z(d) - 7*b(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(6)*-2) - (sqrt(20)\/sqrt(4) + -4)**2)*1.\nAnswer: -21 + 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 11*m + 14*m = -17, -v = -5*m - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52914792 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.9 (b) 3 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14, 29, 68, 143, 266, 449, 704?\n\"Answer: 2*s**3 + s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017223017?\nAnswer: 3, 83, 1723, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 + -3.86. Let p = 0.52 + -0.12. What is the closest to 1\/4 in p, m, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0, -151 in ascending order.\nAnswer: -151, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.8. Let k = -22 - -27. Which is the closest to 1\/6? (a) f (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b + 129871 = 4*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 228, 545, 990, 1563, 2264?\nAnswer: 3093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58000 and 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -85 + 99 + 3 + -15. What is the greatest common divisor of g and 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2. Let z(i) be the second derivative of -5*i**3\/6 - 44*i**2 + 3676*i - 1. Determine z(h(k)).\nAnswer: 15*k**2 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57.4 + -57. Let t = 0.6 + -2.6. Let m = t - -4. Which is the second biggest value? (a) -1 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 + 16.9. Let n = i + -20. Let o = n - -6. Which is the closest to 0? (a) -3 (b) -7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 578*x - 586*x + 9000. Is x a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 6*s + 8. Let m(o) = -5*o - 2. Let x be m(6). Let g = x - -55. What is the remainder when g is divided by w(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**3*o*o)*o)\/(o*o\/(o*o**(-4\/5)*o)*o)*o**(-2\/27)\/o**(-2\/5)*(o\/o**(-1\/2))**22\/(o\/o**(-1\/3)*o**(3\/2)) assuming o is positive.\nAnswer: o**(6937\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + -3)*-5.\nAnswer: -55*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**3 - 147*u**2 - 174*u - 614. What is p(38)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3267 and 46065910.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12721.\nAnswer: 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0*c - 1\/8*c**4 - c**3 + 0 + 3*c**2. Let h(m) = -m - 1. Determine 5*h(i) - s(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15809588927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 446393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -206 - -205. Let h be 22\/11 - g\/7*-17. Which is the nearest to 1\/15? (a) -0.4 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u + 104. What is h(34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 2*g + 32 + 19*g**2 + g - 28 - 7 - 2*g**3 to u*g**2 + c + x*g**3 + w*g and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*q + 1224 = -2504 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31028480 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15326802 + 2?\nAnswer: -15326800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -1a252943?\nAnswer: 1a252947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26563 + 45466. List the prime factors of w.\nAnswer: 3, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 8*u**2 + 8*u - 6. Let b be g(7). Let x(f) = -f**2 + 1. Let r(j) = -2*j**3 - 4*j**2 + j + 6. Give b*r(n) - 4*x(n).\nAnswer: -2*n**3 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 153992041730 - 1\nAnswer: 153992041729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*f + 2*y - 6, 2*f + 4*y = -12. Suppose -f*o - 282 = -10*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34 - -1f?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, t: 4, b: 7}. Give prob of picking 2 l.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6797223*v**2 - 19228021.\nAnswer: 13594446*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130559509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4851 - 4427. Calculate the greatest common factor of b and 144.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 8*q**3\/3 + 12*q**2 + 195*q - 33. What are the prime factors of u(-8)?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u + 2. Let l be i(2). Let j = -22 + l. Calculate the common denominator of j\/4 - (-32 + 9) and 73\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 34 - 33 + p - 40.\nAnswer: p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4\/8 + 33*r**3\/2 - 273*r**2\/8 + 69*r\/4 = 0. What is r?\nAnswer: -46, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 0.1234?\nAnswer: 0.8766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 3*v - 4. Let s be r(3). Suppose 0 = -5*p - 4*a + 17 - 50, 3*p + s*a + 25 = 0. Let x = 0.1 - 0.1. What is the smallest value in 3, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/23711 or -1?\nAnswer: 4\/23711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**2 - 577*c + 4. What is the ten thousands digit of z(91)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1 less than 1.01?\nAnswer: -2.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/64*4*12\/24?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let l be u(-1). Let n(g) be the second derivative of 4*g**4 - g**3\/6 + g**2\/2 + 3*g + 7. What are the prime factors of n(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/15)\/((72\/(-30))\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*n - 5 = 0, 0 = -6*d + 4*d - 5*n - 2. Let b be 4\/2*d\/(-13). Let u(s) = s**2 + 6*s. Let r be u(-6). Which is smaller: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3497?\nAnswer: 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -25363*k**2 + 12778*k**2 + 12941*k**2 as l + i*k**2 + s*k and give i.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d**2 - 4*d + 4. Determine t(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 63?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 34284668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 39. Let w(s) = s**3 - 17*s**2 + 2*s - 34. Let y be w(u). Suppose -16 = -c - y*c - 2*v, -4*v + 44 = 3*c. Sort 3, 5, c, -3.\nAnswer: -3, 3, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnimmnnrdmmnuii. Give prob of picking 1 i and 2 n.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 2. Let a be u(-6). Let r(n) = 2*n**2 + 3*n + 6. What is the remainder when r(a) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 - 13*a**3 + 170*a**2.\nAnswer: 60*a**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/55 - (-694)\/10. Let v = n + -16. Let z = -15 + v. Calculate the remainder when z is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 60*o + 11. Let f be z(3). Let s be 5\/(-2)*(1 + -4 - f). What are the prime factors of 1 + -4 + s\/5?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 555858.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 41173, 41175, 41177, 41179?\n\"Answer: 2*n + 41171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 4*v**2 + v + 4. Let u be j(5). Let m = -9 - u. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 208.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 6:38 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxx. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 11}. What is prob of sequence ua?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**2 - 1043145*x + 4172660 = 0?\nAnswer: -208633, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + u**2 - 3 + 4*u + u**2 - 4*u + (3*u - 4*u + 0*u)*(2*u + 2*u - 6*u) + 0*u**2 - 14*u**2 - 6*u**2)*(-3*u + 0*u - 1 + 2*u)*(-4 + 1 + 1).\nAnswer: -32*u**3 - 32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 29.5*-3\nAnswer: -88.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 2*o + 3. Let t be b(-3). Suppose -t = -3*u - 3. Calculate the remainder when 8 - (-1 + u)\/(-3) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156154207 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)\/sqrt(4))\/sqrt(3)*4 + -3*(sqrt(68)\/sqrt(4) - sqrt(17)) + 3)**2.\nAnswer: 24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 490 in 5, -1, 58, 2, 1, 2\/9?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from ccssisisscicssi.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1)*(1 + -1). Suppose g - 3*u - 605 = q, -5*g + 1274 + 1661 = 3*u. What is g rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i*i**(-23))\/i*(i**18\/i)\/i*i**12*i\/i**(-1\/5)*i assuming i is positive.\nAnswer: i**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3428.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 15 = -4*p. Let m = 5 + 6. What is the smallest common multiple of p and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 - -212020?\nAnswer: 220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*j - 9 + 11, a + 14 = -4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 - -19)\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = -2*r - 3*a, 126 = 395*r - 393*r + 59*a for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let h(p) = 2*p**2 - 4. Let g be h(-3). Let b(z) = 1. Let i(o) = -o + 7. Let x(n) = g*b(n) - 2*i(n). Give x(f(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 281*h + 90. Let p be t(30). Suppose -p = 28*l - 40*l. List the prime factors of l.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -4*f**2 - f + 3. Let r be (-2)\/4*(0 - -4). Is g(r) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1026617 is divided by 2307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l + 16 = 73*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 - 7600?\nAnswer: -7623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2850?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -300 - -279 - (-11 - (1 - -3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-2)*(-62606)\/(-13610)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 463, 941, 1419?\nAnswer: 1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*((-42)\/9 + 4). Solve 0 = -z + p*d + 5 - 2, 3*z - 5*d = 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 14*u - 32. What is the remainder when s(9) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**1)\/(m\/((m*m**(-1\/7))\/m)*m))**(-2\/23)*((m**(2\/3)\/m*m)\/m)**42*(m**0*m)**(-2) assuming m is positive.\nAnswer: m**(-2574\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 29512*c**2 + 765284*c - 4969952.\nAnswer: 4*(c - 7352)*(c - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*y + 1296 + 314 - 190 = 0 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 24 = -g. Let u = g + 8. Suppose -2*t - u*n = -12, 7 = 5*t + 2*n - 8. What is t rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/91*21*(-38)\/(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/2*109300\/251390.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 719*b - 5207. Give r(7).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147, -109, -39, 69, 221, 423, 681?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9319619.\nAnswer: 9319619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**2 - 4*s + 3. Let y be d(1). Let k = -15 + 21. What is the least common multiple of k and ((-21)\/9)\/(y\/21)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 1\/330*n**5 + 0*n - 19*n**2 + 16\/33*n**3 - 4 - 5\/66*n**4. Factor p(z).\nAnswer: 2*(z - 8)*(z - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = 11 - 0. Let u be (8\/(-10))\/(8\/(-20)). Put j, u, -2 in ascending order.\nAnswer: -2, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -48 - 3*k + 7 + 49*k. Let w(v) = 44*v - 40. Suppose -12*c - 69 = -117. Let i(m) = c*w(m) - 3*j(m). Differentiate i(s) wrt s.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 + g**3 - 4*g**2 + (-4*g**2 + g**2 + g**2)*(-76 - 27*g + 76 + (3 - 3 - 1)*(0*g + 3*g - g) - 2*g - 2 + 2).\nAnswer: 63*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:58 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7835 less than or equal to 7835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4.45 + -0.82176\nAnswer: -5.27176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pexpppeppkkpepppke. What is prob of sequence xe?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3 + 18897*p**2 - 151323*p + 283815 = 0.\nAnswer: -6307, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 2.2. Suppose 43*g - 52 + 95 = 0. What is the nearest to g in -5, -19, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 0. Let r = 1.25 + -3.24. Let o = -3.01 + r. Which is the nearest to v? (a) -2\/7 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -0.5616, 26, -5, 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 2 + 0)*(25*d - 3*d + 23*d)*(3 + 1 - 3)*(2*d**2 + 3*d**2 - 3*d**2).\nAnswer: -900*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - 6*(sqrt(170) - sqrt(170)*-1)) - (sqrt(170) - sqrt(170)*1)*2)\/((5*-2*sqrt(120) - sqrt(120))\/(sqrt(192)*2)).\nAnswer: -96*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -0.3, -8.3, 4, 18 in descending order.\nAnswer: 18, 5, 4, 1, -0.3, -8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 839.0359cm to millimeters.\nAnswer: 8390.359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 4*g - 2*m - 10, -g - 3*m = 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 - s - 4. Let t(g) = -21*g**2 + 7*g + 29. Give 5*d(f) + t(f).\nAnswer: -36*f**2 + 2*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9)*(-27)\/42)\/(-3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 3, i: 5, f: 4}. What is prob of picking 1 q and 1 p?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12876, 25554, 38232, 50910?\n\"Answer: 12678*y + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {p: 1, x: 1, h: 7, v: 6}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9879.14 to the nearest one hundred.\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476376 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 10*k + 7*k)*(-k + 4*k - 2*k)*(-1638*k - 5 + 2 + 1652*k).\nAnswer: 224*k**3 - 48*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8)*m\/(m\/m**(1\/2)*m*m)*m)\/(((m*m*m\/m**(25\/2)*m)\/m*m)\/m**(-1)))**(-3\/14) assuming m is positive.\nAnswer: m**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7459324 divided by 61?\nAnswer: 122284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7) + sqrt(14)\/sqrt(2)) + 2 + 2.\nAnswer: sqrt(5)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1182908?\nAnswer: 2, 295727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-182) - 80\/520?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -11. Suppose 5*a + y = 3*a - s, 3*a + 120 = -3*s. Let m = a + 56. What is the remainder when 40 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*l + 24, -4*l - 2*p + 14 = -22. Suppose -l = 2*y - 7*y. Sort y, -4, -5 in ascending order.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -712136, -2848992, -6410418, -11396414, -17806980, -25642116?\nAnswer: -34901822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -157)*(-3)\/3. Let r = p + -78. Suppose -1 = -5*a + r. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -62*z + 61*z - d, 5*d = z - 114. Let l be 473\/z - 4\/(-3). Put -11, -4, 1, l in ascending order.\nAnswer: -11, -4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 6*t + 8*t = 0. Solve 2*c + 4*c = t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320 divided by -464?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-962)\/(-198) + 18\/729*-9?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3 - -5) + 2 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4549 is divided by 413?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q - 4. Give s(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -73 (b) 0.5 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 104 and 0.171.\nAnswer: 17.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -320, -1074, -2534, -4934, -8508, -13490?\nAnswer: -20114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, w: 10, f: 3, x: 3, n: 2}. What is prob of sequence pwfw?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1997 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 11. Let g be l(8). Let j(q) = 3*q**3 - 4*q**2 + 2 - 4*q**3 + 0*q**3 + 4*q. Is j(g) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4))**25 assuming x is positive.\nAnswer: x**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 1216.\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440815*c + 220434*c + 220429*c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x - 45. Let j be u(8). Let n(s) = -6*s - j*s - 11*s + 3. Let a(p) = -7*p + 1. Give 17*a(y) - 6*n(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 6*j - 29. What is o(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 4)*(216\/(-60) - -4). Let m(j) be the first derivative of 4 + 1\/4*j**4 + j**3 - d*j - 1\/2*j**2. Determine m(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60029 - 26572. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12110 + 0?\nAnswer: -12110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108 + -111 - (-1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 197, 1\/15, -48.23, -1\/4?\nAnswer: -48.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-106)\/(-10) - (-62 + 73). Which is the closest to h? (a) 0.1 (b) 5 (c) -4 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbssaqabbsqqqs. What is prob of picking 2 q and 1 b?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13237617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 726500884*c**4 + 97943312 with respect to c.\nAnswer: 2906003536*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41744\/5 - -8349. Which is the biggest value? (a) f (b) -4\/9 (c) -231 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -17*h**5\/20 - h**2 - 26*h + 32. Let z(t) be the first derivative of m(t). What is the first derivative of z(v) wrt v?\nAnswer: -51*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.27 (b) 0 (c) 1\/6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-3)*-3 - (11 - 5). Let u be k*(-258)\/36 + 2\/(-6). Suppose 2*s + s - 6 = 0. What is the greatest common factor of s and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 6562?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 17*y + 10. Let l be m(8). What is the lowest common multiple of (3*6\/(-18))\/(l\/(-12)) and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.2. Let q = -2.563 + -1.437. Put 4\/7, q, 1, x in decreasing order.\nAnswer: 1, 4\/7, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377394681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -6 - 1\/3*0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w - 76. Give b(7).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, r: 2, o: 3}. Give prob of sequence iir.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -334\/505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 17)*(-2)\/40?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 18*u - 4. What is c(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 17 = -2*x, x = 5*o + 19 + 6. Suppose 3*k + 4 = x. Let j(n) = -n. Let v(p) = p**2 + 2*p + 0*p**2 + 0*p**2. Calculate k*j(t) + v(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*r**2 + 21 - 21)*(9 + 5*r**2 - 9) as x*r**3 + u*r**2 + z + v*r + h*r**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 10*m + 7. Let v be f(-10). Let x(r) = r**3 - 7*r**2 - 2*r + 6. Calculate x(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -21, -4, 31, 90?\n\"Answer: o**3 - 2*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -136.97614\nAnswer: -13.697614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*i**2 + 87*i**2 + 86*i**2 + 90*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/245221 (b) 45 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-3)\/(-2) + 2. Let w = 8 - o. Is (w\/(-9))\/((-2)\/354) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1290110 divided by 258022\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 468 - 466. Solve x*w + 5*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1374 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i + 0*i - 2*i)*(7*i - 4*i + 5*i) + 3*i**2 + 3*i - 3*i)*(-5*i + 4*i + 3*i) - 1 + 1 - i**3.\nAnswer: 21*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30355*d + 8376 = -29831*d - 3152 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*t + 621 = 17*t + 211. What is the nearest to -74 in 0, -15, 3, t?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**2 - 20*x - 16534. What is c(-62)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/68 and 41\/1729359?\nAnswer: 6917436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from {b: 1, g: 4, i: 7, e: 4, d: 1}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = -5*i. Solve 4*b - 4*o = -i, 2*b - 4*b + 10 = o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24769, -98870, -222391, -395332, -617693, -889474, -1210675?\n\"Answer: -24710*s**2 + 29*s - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 11 = 2*r + 2*b, 0 = 3*b - 3. Let q be (-13)\/6 - r\/18. Let j = 0 - q. Solve c = 5, -j = l - 2*c + c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 0.00227?\nAnswer: 0.01816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 + -116.29. Round l to one dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -12 + 6 + 6. What is the closest to 2 in 1\/3, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 178 + -170. Calculate the remainder when 22 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1601 is divided by 314.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 450745 + 5?\nAnswer: 450750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/20 and 125\/37422?\nAnswer: 374220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988 greater than 1991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15533*w**2 - 2268*w**2 + 6995*w**2.\nAnswer: 20260*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqnbnqq. What is prob of sequence qqb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 114*w + 111*w - 2142 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 774*p + 149769.\nAnswer: (p + 387)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 11:07 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 18*y**2 + 8439*y - 13 - 6*y**3 + 5*y**3 - 8470*y - 10. Give o(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22199450 a multiple of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1880636?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + (sqrt(1088) - (sqrt(1088) + -5)) - ((sqrt(1088) - ((sqrt(1088) - (sqrt(1088) + 4*sqrt(1088) + sqrt(1088))) + 1)) + sqrt(1088))**2).\nAnswer: -53307 + 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 2*t**2 + 5*t - 2. Let y be m(-4). Suppose 3 = -w + y. Let f = 69 + -67. Solve -w*g = -3*g - f*b - 10, 0 = 3*g - 5*b + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = -4*y + 3*g + 43, 8*g = -5*y + 143 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r + 15, -5*v + 80 = 2*r. What is the smallest common multiple of v and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1860026 to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30734640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(798\/98 - 9). Let o(t) = -t**3 + 6*t**2 + 7*t - 54. Calculate o(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**2*f*v - 2*a**2*v**3 - 60*a**2*v**2 + 52343*a*f*v**3 - a*f*v**2 + 6*a*f + 135*f*v**3 + 6*v**2 - 2*v wrt v?\nAnswer: -12*a**2 + 314058*a*f + 810*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1 - 13)*(-10)\/(-20). What is the common denominator of (-874)\/1656 - (-4)\/r and 67\/6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 * 120.\nAnswer: 8880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 45 + 13. Let r(x) = -2*x - 10. Let i(z) = -4*z - 18. Let c(g) = -5*i(g) + 9*r(g). Give c(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33093 = -77*n + 28*n + 28745. What is the remainder when n is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-33)\/(-4))\/(12\/32) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760*u - 270*u - 3044 - 3326 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 272 - 265. Let q(a) = 23120*a**3 - 6*a**2 + 19*a + 1. Let f be q(c). Round f to the nearest one hundred thousand.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 72 = -5*a, 4*a + 55 = -4*v - v. Let m be (-42)\/a - (-4)\/20. Solve -m*t - 15 = -0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 434 = 3*j, 4*j - 4*r = 8*j - 572. Suppose -j*q - 336 = -147*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 833*k - 1406. Calculate the remainder when 578 is divided by l(2).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*j*w**5 - 6*j*w**4 - 2*j*w**2 + 244*j - w wrt w?\nAnswer: -720*j*w**2 - 144*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.2 (b) -20 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 7*r - 4. Suppose 5*x = 3*f + 3, x + 5 = 3*x - 5*f. Suppose x = 5*v - 5*p - 20, -2*v - p - 1 + 3 = 0. Suppose -v*t - 10 = -0*t. Determine k(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*l - 12 = 0, -4325*o = -4326*o - 3*l - 6 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -261 + 276 - (3 - -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -93023*s**2 - 2716*s - 679. Let c(p) = -684*p**2 - 20*p - 5. Determine -679*c(x) + 5*y(x).\nAnswer: -679*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*a*k**3 - 27*a*k**2 - 4*a*k - 959*a + 37276*k**3 + 2*k**2 - 2*k wrt k.\nAnswer: 78*a + 223656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 1. Let j(x) be the third derivative of -x**6\/60 + x**5\/20 - x**3 - 329*x**2. Calculate j(b) + 4*s(b).\nAnswer: -2*b**3 - b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -610582 (base 14) in base 10?\nAnswer: -3266454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10723666*p**3 - 72994144*p?\nAnswer: 64341996*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11 - 2 = 0. Let r be 2 + ((-2)\/(-3))\/(6\/h). Suppose r*u = 576 + 2877. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 - a1?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/2*(-1 - 1). Let m be (5 - -58)*1 - 3. Suppose -c + u*f + m = 0, -4*c - 4*f + 3*f + 303 = 0. What is the remainder when c is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - l + 2. Let b be r(2). What is the tens digit of (-1350)\/(-8) + 3\/(-16)*b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 4 = -5*m - 4*s, -2*m - 3*s = -5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*j - 5*g = 49*j, 2*j - 3*g = -1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 (base 16) in base 14?\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 2*n + 97, -n = 4*v - 29087. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5146 + 693. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1050 and 136500?\nAnswer: 136500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1887 = -y, -5*z = 3*y - 3839 - 862. What is the remainder when z is divided by 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3 + 2 - 5588*i**2 + 5684*i**2. Let z(g) = g. What is z(v(n))?\nAnswer: 96*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/(r*r**(3\/7)*r)))\/r*r)\/r)\/r)**(9\/7) assuming r is positive.\nAnswer: r**(27\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1506753 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 17. Give r(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -589732014?\nAnswer: -589732014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3191802218 to the power of 1\/4, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Suppose -n - 4*h + 7 = -m, 2*h = -n + 3. Is n*(38\/(-3) + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 4*k**2 + 2*k - 2. Let w be l(-2). Let v(d) = d**2 + 5*d + 1. Let s = -3 + -2. Let m be v(s). Sort -3, w, m in increasing order.\nAnswer: -3, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39232 take away 0.038?\nAnswer: 39231.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 63, 5.\nAnswer: 0, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2107 + 5015 = 6*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujj when three letters picked without replacement from ujjqqqmmfq.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a kilometer in meters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26045801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*c*c**(-6))\/((c\/c**(-3))\/(c\/(c\/((c**(-6)*c)\/c)*c))) assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-2*d + 3*d + 0*d) + 2021*d + 162 - 31 - 2022*d + (202*d + 147*d - 273*d)*(2 + 0 - 1).\nAnswer: 74*d + 131","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 + -109. Let k be (2\/w*(-11 + 11))\/3. Solve -s - 4*m + 20 = 0, 15 = -k*s + s + 3*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 11 = -1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1589864 or -1589865?\nAnswer: -1589865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*l - 88*l - 27324 = 0. What is the highest common factor of l and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -14*o - 22. What is the units digit of n(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 58. Calculate the remainder when c is divided by (10\/(-38))\/((-1450)\/137750).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 845, 1694, 2543, 3392, 4241?\nAnswer: 5090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -51. Suppose -37 = 4*g - m - 2*m, -5*m = -15. Put -4, h, g, 0 in descending order.\nAnswer: h, 0, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20*-2*((-1)\/(-20))\/(52\/260). Let r(d) = d**2 - d + 1. Let z(v) = 5*v**2 - 15*v + 9. Let k(t) = -6*r(t) + z(t). Give k(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + -3 + sqrt(117) + (-5*(-2 + sqrt(832)))**2.\nAnswer: -797*sqrt(13) + 20896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 4*j + 3*m, -2*m - 10 = -4*j + 56. Suppose 3*z + 5*i - 530 = 0, 2*i - j = -2*i. What is the remainder when z is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4\/5)*u**(-6))**36)**43 assuming u is positive.\nAnswer: u**(-44892\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2097000 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l - l**3 + 2*l**2 - 11*l. Let p be r(1). Solve p = 2*o - 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58309605 less than -58309604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 80 = 4*a. Suppose f - a = -f. Suppose 2*t = t. Solve 5*q - 14 = 3*z - 0, z - 3*q + f = t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.9906 and 726381.6.\nAnswer: 726380.6094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciqjqcqqqqqc. Give prob of sequence cqj.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 363*c**2 + 1857 + 962*c**2 + 0 - 179*c**2 + 4*c wrt c?\nAnswer: 2292*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5*sqrt(85) - sqrt(85))*-4*-6)\/(-1*(sqrt(45) - sqrt(5)) + (sqrt(5) - (sqrt(180)*1 - sqrt(180)))).\nAnswer: -96*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Solve -y*q = -1 - 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -38*j**3 - j**2 + 2. Let z(a) = -a**2 + 1. What is f(v) - z(v)?\nAnswer: -38*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 7*j + 27. Let l be 52\/(-14) - j\/(-4). Sort 4, l, -0.5, 0.3 in decreasing order.\nAnswer: 4, 0.3, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3262*w + 1310*w - 347472 for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.3 (b) -5\/4 (c) 0.3 (d) 3\/20 (e) -2 (f) 0.4 (g) 391\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3\/((-24974)\/(-14988)*-3 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + a. Let v(i) = 4*i**2 + 8*i + 2. Let g(y) = 3*n(y) - v(y). What is the smallest common multiple of 16 and g(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.729704806 - 3124.\nAnswer: -3125.729704806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.35 times 0.03\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, -3, 5, -15, 0, 9540 in increasing order.\nAnswer: -15, -5, -3, 0, 5, 8, 9540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = j + 2*u, -9 = -4*j + u. Suppose 0 + j = a. What is the smallest common multiple of a and ((-208)\/(-12))\/(4\/6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 - 415*v\/4 - 104.\nAnswer: (v - 416)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t - 401 = 57*t + 146 - 130 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*4\/(-8) - -22.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774691901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24952)\/212092*374\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 263*s - 35*s + 54*s - 1)*(-107*s - 1649 + 1649) in the form m*s + z + n*s**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - 36 + 2 + 4 + 15 + 7 + 0.\nAnswer: -4*d - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q. Let d be -2*(-1 - -2) + 4. Suppose -d*w + 3*w = k, -k = 5*w - 18. Solve 5*v + 4*n + k = -11, 3*n + 3 = q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 44.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.276 rounded to 1 decimal place?\nAnswer: -64.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 + -4. Let a(h) = -h + 9. Let q be a(11). What is the closest to -1 in s, -4, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three halves of a meter in centimeters?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/6 + (-2)\/12. Let y be x\/(-2)*(-476)\/42. Suppose -y*c = -7*c - 1000. 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: What is u in -4*u**5\/7 - 43212*u**4\/7 + 43228*u**3\/7 + 129628*u**2\/7 - 216072*u\/7 + 86432\/7 = 0?\nAnswer: -10804, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*w = -3109, 24*d - 20*d + 2*w = -6210. Which is greater: -1556 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 67092.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 121\/7 + (-6)\/21. Let q be ((-1)\/(-4))\/((-13)\/(-260)). Solve -q*x + 9 = -4*n, x = 2*n - 5*n + g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2\/j)\/j)\/j*j**(-3\/7)*((j*j\/(j\/(j\/(j\/j**(-2\/7)))))\/j)\/j**(-2\/7))\/(((j\/j**(5\/3))\/(j*j*j**(-2\/3)))\/(j*j*j**5\/j*j**(-1\/12))) assuming j is positive.\nAnswer: j**(545\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 411930.4 rounded to the nearest one hundred?\nAnswer: 411900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**5 - 11482014*m**3*q + 6*m**2*q - 2*m*q + 42*m - 134886*q + 1 wrt m.\nAnswer: 20*m**3 - 68892084*m*q + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z - 176344 + 175970 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**22*m\/m**7*m\/(m\/(m\/(m**(-3\/2)\/m*m)))*((m*m\/(m**2\/m))**(-2\/65))**39 assuming m is positive.\nAnswer: m**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 980.\nAnswer: -1\/980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - -9 - (-1619 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 6. Let p be i(-8). Suppose -v - 20 = -p*v. Let t(l) = 2*l**2 - 41*l + 24. Let m be t(v). Is 1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**16)\/r**6*r\/(r**1*r)*r\/(r**(-1)\/r) assuming r is positive.\nAnswer: r**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 14*l + 7. Let f = 51 - 30. Let o = 34 - f. Let x be q(o). Let d(i) = 23*i - 14. Let y(n) = 8*n - 5. Give x*d(u) + 17*y(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p. Let k(b) be the second derivative of -b**4\/4 + 4*b. Give c(k(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**7\/840 + d**6\/90 + d**5\/24 + d**4\/8 + 4*d**3\/3 + 29. Let a(o) be the third derivative of p(o). What is a(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 11 - (72 + -59).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -166 + -3200160?\nAnswer: -3200356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -462207 + 462206.9030043. Let i = -21.897 - -21.8. Let s = i - z. What is s rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 23, -0.71441, 0.2?\nAnswer: -0.71441","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26532434057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 33. Let r be c(-12). Let s(f) = -f**3 - 6*f**2 - 4*f + 9. Let i be s(r). What is the highest common factor of i and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29522480 rounded to the nearest 1000000?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -0*b + 3*b. Suppose b = 2*s - 0*s. Solve 2*o + m + 5 = -0*m, -4*m = -5*o - s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(504)*-5 - sqrt(504))\/(-5*sqrt(16)\/sqrt(2)*5).\nAnswer: 33*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -230.0395 - -230. Let n = z + 0.0397772. Round n to five dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 5*w**2 - 4*w + 4. Let z be p(-4). Solve -2*l + 4*l - z = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363633969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8668558, -17337167, -26005776, -34674385?\nAnswer: -43342994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439788927.\nAnswer: 3, 146596309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = -4*c, 29*i - 31*i + 10 = -4*c. Let o = -17 - -26. Solve -o + i = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -203*d**3 + 49*d. Let l(m) = 17*m**3 - 4*m. Determine 49*l(g) + 4*o(g).\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22367411 is divided by 307.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4436.64002 rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 3*a**2 + a + 7. Calculate n(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*u**2 - 164*u**2 - 166*u**2 + 810*u**2 - 169*u**2 - 156*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5893 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*a = -71*a + 785*a + 160*a - 9204 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y + 29. Let m(v) = -2*v - 1. Let i(r) = 2*m(r) + x(r). Let w be i(-13). Suppose -2*h = 5*k + 4, 2 = 5*h - 5*k - 23. Which is greater: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 - 4) + 1 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clg when three letters picked without replacement from {l: 6, c: 4, g: 7}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64366761.\nAnswer: 3, 41, 523307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - j + 7. Determine d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58882*a**2 + 0*a + 0*a - 117885*a**2 + 58811*a**2.\nAnswer: -192*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 408 and 409 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2519.67 millennia?\nAnswer: 251967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96798 and 136.\nAnswer: 387192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 3381492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -686 divided by 2\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.067633 + -0.067753. Let f = 1.99 - -0.01. Let i = f - j. Round i to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 521.5279 decades?\nAnswer: 52.15279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*t - 153*t + 13*t - 19*t - 69*t to the form z + q*t and give q.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3 - 40.3. Let j = o + 27. Let k = j + 8. Is k != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -4\/5 (c) 3 (d) 37\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3947*r + 31579. Calculate g(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d**(2\/9)\/d*(((d*(d**(2\/13)\/d)\/d*d*d)\/d)\/d)\/d**3)**8)**38 assuming d is positive.\nAnswer: d**(-128896\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -166*d + 3522 + 462 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 89\/14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 0.94 (b) -53 (c) 1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 61 + 34 = -3*p, -5*p - 6*d = -38 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(55)\/sqrt(5) - (2 + sqrt(1331) + sqrt(1331)) - (sqrt(11)*2 + 4)*-4) + 3)**2 + -1.\nAnswer: -364*sqrt(11) + 2054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(56) + sqrt(56))\/sqrt(8) - (sqrt(175) + 0 + sqrt(175) - sqrt(7)))**2 - sqrt(49)\/(sqrt(224)\/sqrt(2)).\nAnswer: -sqrt(7)\/4 + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Let h be 0\/w + 2 + 1. Suppose -2*l + h*i = -65, 4*l - 85 = l + 2*i. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 6:23 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3274 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1440)\/4400)\/((-3)\/(-11)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/4*(-4*(-12)\/(-64))\/9\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*i**2 + 58*i**2 + 1953 + 76*i**2 - 1953.\nAnswer: 195*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(75))**2 + (sqrt(300) - (-1 + sqrt(300) + sqrt(300))**2).\nAnswer: -1125 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**15)*b**(-1\/9))\/((b\/(b**(-15)\/b*b))\/b*b**(-10)) assuming b is positive.\nAnswer: b**(89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 80?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20735 and 286?\nAnswer: 41470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69570 and 834840.\nAnswer: 834840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1302868 and 0.163.\nAnswer: -1302867.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 2*c + 33. Let d be g(-7). Let q(r) = -2*r + 8. Let a be q(d). Calculate the highest common divisor of a and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 1\/3*x**3 + 0*x**2 - 5 + 0*x. Factor i(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9)*(-6)\/2. Let d be (-5)\/(0 - (-3)\/(-3)). Suppose 0 = 19*u - d*u. Solve 0 = -y*n - u + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1\/4, -3\/7, -193, 3\/5, 2\/11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -20*w - 1. Let z(r) = 17*r + 12. Calculate 15*x(b) + 3*z(b).\nAnswer: -249*b + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-15)\/(-18)*-3. Let p be ((-45)\/75)\/(3\/o). Solve g = -0*g - 5, 2*j + g + p = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3183?\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 598.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1523 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xggyxrexxxxvyexxxg. Give prob of picking 1 e, 2 g, and 1 r.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*p*x**3 - 1192*p*x**2 - 2*x**3 wrt x?\nAnswer: -66*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5032 is divided by 588.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 0.06 (c) 1201 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9 - 97*r - 8 + 277*r.\nAnswer: 180*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1 - 80 + 29 - 109*j + 17.\nAnswer: -109*j - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 c, and 1 u when four letters picked without replacement from {d: 1, p: 2, u: 1, c: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -40, 2, 1\/9219, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 28275*t + 254473. Determine v(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*x - f - 0*f, 0 = -4*x - f + 16. What is the second derivative of -45*b**3 - b + 58*b**3 + 51*b**x + 30*b**3 - 7 + 126*b**3 wrt b?\nAnswer: 1320*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*m**2 - 82*m**6 + 31*m**2 + 14*m**2 wrt m.\nAnswer: -9840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/29, -4, -0.4, 24, -122?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -572389 not equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 38 = 4*v - 2*t, -5*v + t - 3 = 0. Let m be 2*(-26)\/(-60) + -1. Is v not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.5 + -14. Let q = 0.3201432 - -4.1797508. Let j = f + q. Round j to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + 4*c**2)*((c - 4 + 4)*(c - 3*c + 6*c) + 4*c**2 + 0 + 0) + 4*c**3 - c**4 - 4*c**3.\nAnswer: 31*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 95.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1372 - -1376. Calculate the greatest common divisor of d and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = -1. Let w = 5.8 - 0.8. Let b = 75.9 - 76. What is the closest to y in 2\/3, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52293 is divided by 1211?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -879702\/85 smaller than -10350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 7075*v + 2239430.\nAnswer: 5*(v - 937)*(v - 478)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/(-9))\/((-2)\/(-12)). Solve -2*m = 2*m - d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1770238 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*b + 55 = 0, -2*y = -5*b - 0*b - 43. What is the smallest common multiple of 336 and y?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -70\/13, 1262\/553, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 0 + 0)*(r**2 + 3*r**2 + 0*r**2) + (-2*r + 3*r + r)*(-3*r**3 + 2*r**3 + 2*r**3).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13146)\/(-56) - (-2 - 7\/(-4)). Calculate the remainder when g\/(-2)*(-12)\/15 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -73) + (-3408 - -3272).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 22*h**3 + 3*h**2 - 3*h + 11. Let t(c) = 43*c**3 + 5*c**2 - 5*c + 23. Let u(p) = -5*a(p) + 3*t(p). Differentiate u(j) with respect to j.\nAnswer: 57*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16455 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 4*o - 36. Let k be w(-9). Suppose k*t - 4*t - 25 = 0. Suppose 0 = -t*x + x + m + 719, -x + 176 = -4*m. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/14*-132*(-16)\/96\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 665736.4086 to the nearest 100.\nAnswer: 665700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x = 35*x + 15, -4*x + 9 = 3*p - 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30377613*s**2 - 10935215*s - 4 wrt s?\nAnswer: 60755226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26764 is divided by 377?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:31 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1\/3)\/((-40)\/(-300))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {g: 3, u: 5, d: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 5*b - 148. Give c(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*a - 2*a. Let r = a - -13. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 33. Solve 0 = -v + q + 4, 4*v + 0*q + c = -2*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 19, 0.2 in descending order.\nAnswer: 19, 0.2, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1932*x**3 - 2619?\nAnswer: 5796*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9)*(17\/10 - (-9)\/(-6))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24905100 to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3 = -3*f, 0 = -5*u + 4*f + 10 + 17. Suppose -46*c + 52*c + 18 = 0. Suppose 2*v - 4*w = 18, -4*w - 13 = 7. Sort u, v, 2, c in descending order.\nAnswer: u, 2, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 1134 = -3*o, -2*o - 450 = 2*h + o. What are the prime factors of h\/(-54) - 6\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*g + 8, 7*g = -5*h + 8*g. Which is the fourth smallest value? (a) h (b) -0.3 (c) 2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 57*k - 457. Calculate n(64).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4782 divided by 1.\nAnswer: -4782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - 16 - -9) + (8 - -3) - -29\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 - 6)*(-t + 0*t + 0*t)*(-3 + 4 - 3) to the form h*t + g and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -0*t - 4, -163 = 3*o - 10*t - t + 166 - 360 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-888)\/14)\/(11\/(-77)). Let w = -98 + c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24239 + 24243. Solve t*b = -0*m + 3*m, -m = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 1. Let z be d(1). Let p(t) = t**3 - 3*t - 2. Let r be p(z). Let n be 2 + 2 - 4\/r. Sort 2, 6, n in descending order.\nAnswer: 6, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11955700 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*w - 17*w + 3 - 40 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - 3*r**2 - 2*r + 4. Let o be i(3). Suppose -6*t = -5*t - o. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9136922 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 498576 divided by -6?\nAnswer: -83096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 2*p)*(1 + 0 - 2) + 5*p - 4*p + 0*p)*(-5*p**3 + p**3 + 2*p**3 + (0 - 3 + 5)*(3*p**3 + p**3 - 5*p**3)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 220*k**3 - 4*k**2 - 9*k - 15. Let w be m(-3). What is the hundreds digit of (6\/(-24))\/(7\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 4*f**2 - 16*f - 4. Let k be t(-2). Sort 1, 42, k in ascending order.\nAnswer: k, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.88009 to 1 dp.\nAnswer: -70.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 11 - 3*b**2 - 7*b + 25 + 8*b in the form n*b**2 + q*b + k and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0*h*h)**(-2\/25)*(h*h**(-3\/4))\/h**(-3) assuming h is positive.\nAnswer: h**(301\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18678940 a multiple of 2828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 8:11 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 675\/125 - (-2)\/4*-10. Sort -5, 0.2, -17, r in decreasing order.\nAnswer: r, 0.2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39057, 39058, 39059?\n\"Answer: a + 39056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 11:05 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -1, 0.1, -2\/7 in decreasing order.\nAnswer: 5, 4, 0.1, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-232)\/(-290))\/(1\/10). Solve -3*w + c + 4 = 3*d, -d - 4*w = -10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, 3, 0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 9325983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -14*s**2 - 5 + 10*s**3 + 5*s**3 + 8*s - 16*s**3 - 5. Does 19 divide p(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -13*b + 5. Let c(x) = 16*x - 3. Let y(t) = 4*c(t) + 5*u(t). Let m = -20 - -28. Give y(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 - 15*o**3 - 476\/3*o + 82*o**2 + 1\/3*o**4 = 0. What is o?\nAnswer: 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, 32, 143, 392, 833?\n\"Answer: 9*k**3 - 12*k**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64842, 3, -58.\nAnswer: -64842, -58, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4220068.396 rounded to the nearest one hundred?\nAnswer: 4220100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 - -0.18. Let v = -0.36 - -0.06. Let m = v + o. What is m rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412785706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + g = 25, 0 = -4*g - 0*g - 20. Suppose -204 = -2*f - 36. Let u = f - y. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*d + 48, 3*v + 9*d - 64 = 13*d. Let h(q) = -3*q - 5. Let s = -14 + 7. Let o be h(s). What is the highest common divisor of o and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - g**2 - 3*g - 13. Give l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -269 divided by -2\nAnswer: 269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l + 25*l + 1150719*l**2 - 15*l.\nAnswer: 1150719*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 548\/553 - -12\/79. Is 0 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5459071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/6 - z**3\/6 - 13*z. What is the units digit of s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3820 and -872?\nAnswer: 2948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let x(l) = 15*l + 75. Let p(n) = 1. Let m(r) = -75*p(r) + x(r). What is t(m(u))?\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61906.70872 less than -0.5?\nAnswer: -61907.20872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.6 (c) -0.05 (d) 3\/23 (e) 75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*u = 374*u - 560. Which is greater: 73 or u?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 68 = 28. Calculate the remainder when 31 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630 divided by -1.\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0251 + 176.4272994?\nAnswer: 176.4021994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -368?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-9) - (-1698852)\/9. Let h be 164955\/(-4) + 2\/(-8). Let i = h - u. Round i to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153.64 + -0.36. Let j = 154.2 + r. Let k(o) = -o**3 + 7*o**2 - 8*o + 9. Let q be k(6). Is j greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46344 is divided by 5774?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, -5, 204 in decreasing order.\nAnswer: 204, 10, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -16*k**2 + 81*k + 10. Let x(m) = 3*m**2 - 16*m - 2. Let q(n) = -2*c(n) - 11*x(n). Let z(l) = -39*l - 28. Let w be z(-1). Does 3 divide q(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*d = -25, 10*z - d = 6*z + 61. Calculate the remainder when 58 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -4 + 5 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6751270 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 9:01 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 12*a - 4. Let r be x(6). Let q be 0\/4 + 4 + r. Let z(n) = n**3 - 16*n**2 - n + 15. Let u be z(16). Sort 12, u, q, 2 in descending order.\nAnswer: 12, 2, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1350112607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 354 or 365?\nAnswer: 354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*q**3 + 8*q**2 + 26171*q - 27569144 wrt q.\nAnswer: 69*q**2 + 16*q + 26171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12239 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 9. Let k(x) be the second derivative of -2\/3*x**3 + 1\/5*x**v + x**2 + x - 2\/3*x**4 + 0 + 1\/5*x**5. Factor k(p).\nAnswer: 2*(p - 1)*(p + 1)**2*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2\/8 - 1148019*u\/8 - 1148013\/4 = 0 for u.\nAnswer: -382671, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 - 12*n - 26*n**3 - 18 + 23*n**3 - 4*n**2. Determine b(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/78)\/(3\/(-4)). Let j = -6.97 + 3.97. Sort g, 1\/4, j.\nAnswer: j, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*n**4 + 5*n**3 + 539*n**2 wrt n.\nAnswer: 1080*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*l)*(2 + 0 - 3)*(-1 + 2 - 2)*(-5*l**2 - 3*l**2 + 3*l**2).\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x + 8 = -2*i, 0 = -4*i - x + 11. Suppose -i*q - q = 4*g - 2515, 2*g - 1250 = -4*q. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 21.2. Put 1, d, 0 in descending order.\nAnswer: 1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/3*0. Let k(l) = -l**3 - 8*l**2 + 10*l + 12. Let z be k(-9). Solve -3*b + z = -h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -35710\/57?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12568 - -12573. Suppose -b + 4*b = -5*t + 26, 2*b = -2*t + 12. Suppose 3*h = 2*h + b. Sort 4, h, l in decreasing order.\nAnswer: l, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-2 + 2) - (-33 - -32).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/73843 and 61\/12123678.\nAnswer: 133360458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**5\/20 + 5*m**4\/12 + m**3\/6 - 2*m**2 - 3*m. Let t be p(6). Let s = t - -73. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-12)*(0 - 4) - 1. Let k(u) be the second derivative of -u**5\/20 - u**4\/3 + u**3\/6 + 3*u**2\/2 + u. Determine k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 5, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (4 + (sqrt(75) - (sqrt(75) - (-4 + 4 + sqrt(75)))) + sqrt(75) - (sqrt(75)*4 + -3 + 4))**2.\nAnswer: -60*sqrt(3) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -131 - 2?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12812\/(-67263) + ((-1760)\/(-63))\/(-5).\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/7 and 5\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 555591700 and 23500.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 8\/2 - (-7 - 8080\/(-576) - 7)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 108\/648*(-2 + 1). What is the closest to 0.2 in -3, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 59*o**2 - 416*o - 74. Determine p(18).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -5, -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -147422041*s**3 - 147753609.\nAnswer: -442266123*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22742, -45473, -68200, -90923?\n\"Answer: 2*q**2 - 22737*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 14. Let c be s\/26*(0 - 18). Suppose -m = -4*n - 13, 6*n + c = 3*n. What is the least common multiple of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -1, 13 in increasing order.\nAnswer: -1, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371 + 5*x**3 + x**3 - 365.\nAnswer: 6*x**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2947 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**4 + 9805*t**3 + 4022870*t**2 - 8085000*t = 0. What is t?\nAnswer: -1375, -588, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 7) + -1305 + 1188?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4316 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millennium in years?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -70551, -141141, -211771, -282441, -353151, -423901, -494691?\n\"Answer: -20*x**2 - 70530*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563863356 divided by 27.\nAnswer: -20883828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 851999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - m. Let n(p) = -4*p**3 + 2*p**2 + 5*p. Let w(l) = 8 - 7 - l**3 + 13*l**2 + 4 - 12*l. Let j be w(12). Give j*k(z) + n(z).\nAnswer: z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 34. What is the common denominator of -149\/60 and 103\/(-125)*50\/o?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 64 = -4*t, 0 = 3*y - 0*y. Suppose 0 = -2*p - z + t, -p + 3*z + 11 = -4. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:51 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*c**5 - 1 - 7*c**5 - 1 + (-102*c + 131*c - 93*c)*(-3*c + 2*c + 2*c)*(-2*c**3 + 0*c**3 + 6*c**3).\nAnswer: -254*c**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250\/299 - -100913\/53820. What is the common denominator of z and -83\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -7. Suppose 0 = 4*g - v + y*v + 12, 3*g + 2 = -2*v. Is 13 a factor of (-2)\/g + (5 - -32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13957 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228708402.\nAnswer: 2, 43, 14287307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2138212925 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3719.43 rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 5, j: 1, x: 3}. What is prob of picking 1 x and 1 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 51 + (-78934)\/1037 - (0 + (-2)\/17)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/42)\/(-5)*21\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -253.531 + 0.531. Let r = a + 252.798. Round r to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - p - 68 + 67, 4*p = 5*y + 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y + 8 = 0. Let t = 3 + 0. Suppose 0 = 4*i + y*s - 34, -i - 21 = -4*i + t*s. What is the remainder when 15 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 9. Let z = -460 + 455. Determine x(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(441)*-1)\/(sqrt(1008)*2).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 - 601 = -16*r - 134 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**3 - 16*i**2 - 3*i + 15. Let h be l(6). Calculate the greatest common divisor of 23 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j. Let l(y) = -53851918*y. Determine l(q(u)).\nAnswer: -107703836*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6728 - 74112\/11. Let j = 13979\/1496 + p. Calculate the common denominator of j and 67\/6.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -383*v*x**2 - 24681*x**2 with respect to v.\nAnswer: -383*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 54\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -r - 4*r. Let g = r + 193. List the prime factors of g.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84\/22 - 14\/(-77). Suppose b*c + 4 = -20. Calculate the remainder when 4 is divided by (c\/(-4))\/(6\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -5, -6 in increasing order.\nAnswer: -6, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/1*2*27\/(-324).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 3 - (-3 + 2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6149941848 and -6.5.\nAnswer: -6149941854.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 477*y**2 - 14613*y - 15093.\nAnswer: -3*(y - 117)*(y - 43)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 53\/(-265) + 1\/5 + -84. Let y be 0 - 9\/(-21) - z\/(-196). Let u(i) = -i + 10. Determine u(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11506785?\nAnswer: 3, 5, 23, 33353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.31 + -0.3. Let q = h - 0.21. Let t = -0.7 - q. Which is the smallest value? (a) t (b) -0.1 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -203733 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 265578887?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/(24\/5))*(-80)\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152884491*s**2 - 48692485*s?\nAnswer: -305768982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**21\/b)\/b)\/(b*b**(1\/7)))\/(b\/(b*((b\/b**(-2\/7))\/b)\/b*b))**(-1\/61) assuming b is positive.\nAnswer: b**(1089\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1139145870 to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzxqzrozzo. Give prob of sequence zz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 20, -13, 5, 197, -3 in ascending order.\nAnswer: -13, -3, 1, 5, 20, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Let o = -68 - -74. Suppose -o = 55*a - 57*a. Solve -a*s = -1 - j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*s**5 - 248*s**4 + 888*s**3 - 1426*s**2 + 1055*s - 294.\nAnswer: (s - 3)*(s - 1)**3*(25*s - 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 13, -20, -89, -206, -383, -632, -965?\nAnswer: -1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3 - 569*j**2 + 7639*j**2 + 1173*j**2 + 1257*j**5 wrt j?\nAnswer: 75420*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 - -148. Suppose 32*g = z*g - 61. Calculate the remainder when g is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**3 + 465*m**2 + 10575*m - 11045 = 0.\nAnswer: -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -679753, -1359624, -2039497, -2719372?\n\"Answer: -p**2 - 679868*p + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 774445 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 0*b + 13\/3*b**3 - 5\/7*b**7 + 0*b**4 - 11 + 0*b**2 + 0*b**6 + 0*b**5. What is the third derivative of x(c) wrt c?\nAnswer: -600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 - -2. Let z = -1051\/10 - -105. Which is the third smallest value? (a) q (b) z (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -6. Let y(k) = k**2 - 9*k - 1. Let v be y(p). Let i be v\/(-1)*(4 + -3). What is the third biggest value in 4, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6) + (-80)\/32\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -10*c**2 - 4. Let a(m) be the first derivative of 2*m**3\/3 + 68. What is a(t(p))?\nAnswer: 200*p**4 + 160*p**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 307*k + 2*k**3 - 5*k**2 + 5*k**4 - 307*k - 5*k**5 + 3*k**3.\nAnswer: -5*k**2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -367, -510, -653?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333179 is divided by 1503?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9317975 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-2)\/(-1) - (-132)\/21.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euvpb. Give prob of sequence ve.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (-72 - (-14 - 6))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 - 507 = -20*i. Which is the closest to -16? (a) i (b) -5\/4 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29920 rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 4*h + 0*h)*(15*h + 30*h - 46*h - 2*h**2 + 5).\nAnswer: -14*h**3 - 7*h**2 + 35*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-17)\/q**(8\/3))\/(q**(3\/7)\/(q*q**(-5\/11))))**(-4\/13) assuming q is positive.\nAnswer: q**(18064\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**1)))**(5\/12)*(j\/j**(-6\/5))\/(j\/(((j\/(j**(-2\/11)\/j))\/j)\/j*j)) assuming j is positive.\nAnswer: j**(1061\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -24*j + 17*j. Let c be (-1 + 3 + 1)\/(j\/12). What are the prime factors of (3 - 0)\/(4\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169.1 + -169.3. What is the closest to -0.1 in 1, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -223 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 53. Let j be q(16). Suppose 0 = -a + 3 - 1. Let k(r) = r**3 - r**2 + 2*r - 3. Let m be k(2). Put j, m, a in ascending order.\nAnswer: j, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 4. Let y(q) = -5*q - 7. Let m(o) = 7*d(o) + 4*y(o). Let n(s) be the first derivative of 2*s**2 + s - 1. Determine -6*m(v) + n(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16.37*-10.34\nAnswer: 169.2658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/16)\/(1\/4). Let c be (75\/5)\/(1\/(-3)). Let n be 2\/9 - 800\/c. Solve -5*f = o - n, 0*f = j*o - 2*f - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 11*q**8\/6720 - q**7\/1260 + q**6\/360 - q**5\/120 - q**4\/4 + 2*q**2. Let f(n) be the second derivative of a(n). Calculate f(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26427157.2 microseconds to days.\nAnswer: 0.000305869875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + 0.04. Let m = 0.21 + -0.29. Let v = k + m. Which is the second smallest value? (a) 1\/4 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2768, -2, 1 in ascending order.\nAnswer: -2, 1, 5, 2768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 143.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 244\/131 + -14443\/2620. What is the common denominator of -54\/55 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 27 - 2 = 0. Suppose -20 = -g*z, 2*x - 4*z = 13 + 3. Suppose 4*m - x = -0*m. Sort -4, m, -1 in decreasing order.\nAnswer: m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cisssissi. Give prob of picking 1 c and 1 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 89*v + 130. Let y(c) = 1. Let l(r) = x(r) + 3*y(r). Differentiate l(o) with respect to o.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -382.9011 + -2.\nAnswer: -384.9011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -5, -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2 - 2)*(-j - 3*j + 2*j)*(1647 + 173 + 949 + 421).\nAnswer: -19140*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) 0.66 (b) -2\/5 (c) -4 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25036313 + -23?\nAnswer: -25036336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*-4*sqrt(156)\/(-1*sqrt(12)).\nAnswer: -120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -256.0086 - -256. What is j rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 + 220\/3. What is the third smallest value in d, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 943, 3801, 8575, 15265, 23871?\n\"Answer: 958*h**2 - 16*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9*y**3 - 17*y**2 - 7*y. Let f(w) = -5*w**3 - 9*w**2 - 4*w. Let s(c) = -7*f(c) + 4*t(c). Find the third derivative of s(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = b, -2*l + 0*l - b + 7 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49530 + 3?\nAnswer: -49528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -157, -169, -193, -235, -301, -397, -529, -703?\n\"Answer: -t**3 - 5*t - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -73. Let q = -0.1 - 0.1. Which is the second biggest value? (a) k (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + m - 135 = -988, -5*m = -4*g + 857. Let h = g + -104. What are the prime factors of h?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z - 423 = 7*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkm when four letters picked without replacement from {m: 7, k: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 288 = -5*f, -f = -s - s - 68. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(108)*2 + sqrt(108) - sqrt(108)))\/((sqrt(9) - (sqrt(9) + sqrt(63)\/(sqrt(7)*2))) + (1*sqrt(1296) + sqrt(1296) - sqrt(1296))))**2.\nAnswer: 768\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x + 33. Let q be s(-7). Suppose -17*y + 288244 = q*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 86153792*d + 927809484497408.\nAnswer: 2*(d - 21538448)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4692759 and 690.\nAnswer: 46927590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128035 (base 10) to base 15.\nAnswer: -27e0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-3 - (11 + 11 + -12))) + -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 10 = -11*c. Let g(b) = -4*b. Let x be g(c). Let z = -6 + x. Solve z*y - 4*y + 6 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -196.66433 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 - 13*k**2 + 7*k - 1. Let q be n(6). Solve q*y = 2*u - 3, 3*u - y = 2*y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 1, g: 1, f: 3}. Give prob of sequence fo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 172*c. Let w(o) = 234*o**2 + 2*o. What is i(w(x))?\nAnswer: 40248*x**2 + 344*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**5\/20 + 5*t**4\/12 + 5*t**3\/6 + 5*t**2\/2 + 2*t. Let f(x) = 9*x + 239. Let r be f(-27). Determine l(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 79 + 19 - 23 = 0. What is the remainder when i is divided by (3 + -2)*34\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 divided by 1.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and 0.014.\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 15255.\nAnswer: -14\/15255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*t - l, 5*t + 2 - 17 = 2*l. Let n(m) = -1. Let r(z) = 27*z - 2. Let g(y) = t*r(y) - 4*n(y). Is g(2) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:55 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 6. Let u be q(-6). Let k = u + 3. Solve k = -4*g - g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1667\/14 + 237\/2. What is the fourth biggest value in 249, o, 0, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -23*u**2 + 48*u + 13. Let s(l) be the second derivative of -27*l**4\/4 + 28*l**3 + 45*l**2\/2 - 7*l. Let v(w) = -18*r(w) + 5*s(w). Factor v(p).\nAnswer: 3*(p - 3)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 8 = 47. Suppose 11*a = l*a. Solve a = -b - 0*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*u - 61248, 2*k + 3*u = -2*u + 40782. Does 38 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 126005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -174*n**3 + 17*n - 16. Give l(1).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/5))**(13\/3)\/(y**(-1\/4))**(-34))**(13\/4) assuming y is positive.\nAnswer: y**(-767\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/18 - (-3112)\/(-5760). Let x = d - -9\/16. What is the nearest to -0.1 in x, 3, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by -43?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**4\/4 - 8*c**3\/3 - 4*c**2 - 8*c - 3. Let o be 106*((-2)\/6)\/((-4)\/6). Let l = o + -60. What is i(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**3 + 0*t**3 + t**3)*(-588 - 227 + 1141 + 2141 + 349) to q*t + f*t**3 + s + r*t**2 and give f.\nAnswer: -2816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 5. Let f(h) = -5*h**2 + 8. Let o(n) = -8*b(n) - 5*f(n). Let j be o(-3). Find the first derivative of j - 6 + 2*y**2 - 5*y**2 wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1896\/64)\/(-79))\/((-1)\/8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 61 - -21?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1.6. Let c = 9.9 - 2.4. Let o = -3.5 + c. Sort o, 0.3, h.\nAnswer: h, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b24 - 4?\nAnswer: -b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c - 1. Suppose 0 = 51*n + 39*n + 450. Let a(i) = -7*i - 25 - 18 + 43. Give n*a(d) + 4*x(d).\nAnswer: 3*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 28, -0.08, -14 in ascending order.\nAnswer: -14, -0.4, -0.08, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3017064712?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p**2 - 17012*p**3 - 2*p**4 - 6*p + 6 + 17012*p**3 as f*p**2 + x + b*p + w*p**4 + h*p**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*o - 50 + 32*o**2 - 10*o**3 + o**4 - 5*o**5 + 48*o**2 - 31*o**4 = 0. Calculate o.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*j - 3*j - 11, -2*j - 6 = -2*z. Find n such that -4 - n + z - n**3 - n**2 - 4*n - 3*n**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 27, 83.5?\nAnswer: 83.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 6:39 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.29584l to millilitres.\nAnswer: 7295.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*v + 31 + 19 = 0, o + v = 42. Suppose 2*d - 2 = o. What is the remainder when 41 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 - 1)*(2 + 1 - 4) - 3 - 1 + 0 + (-4 + 3 + 3)*(-5 - 1 + 4))*(2*z - 4*z + 4*z).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-20)*28\/(-42).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -1 + 26\/2. Let f(u) = u**3 - 11*u**2 + 11*u + 7. What is the units digit of f(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 1488*j - 1107072.\nAnswer: -(j + 1488)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 95, 122, 131, 116, 71, -10, -133?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316376341?\nAnswer: 17, 29, 491, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 158709984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.16 + 22.03. What is o rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130055371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 495 + -494. Let i = 43\/4 + -1427\/132. Is i smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 127, 9, -3, 4.\nAnswer: -3, 0, 4, 9, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d = -24*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*r + 39*r + 40*r)*(-31 - 26 + 29) + 5 + r - 5.\nAnswer: -1679*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -2\/653, 1.8, -10\/7, -18.4?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000181985 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-16)*-2 + (-399)\/228. Which is greater: -7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from {a: 1, h: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w**2. Let g = 39 + -15. Let f(i) = -24*i + i**2 + g*i. Calculate f(t(a)).\nAnswer: 100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/(-12)*(-441)\/(-245))\/(50\/(-36)).\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 519978 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 4:38 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 h when four letters picked without replacement from bhhhhbbhhhhbhhhbxb.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -79, 92, 15.\nAnswer: -79, -5, 5, 15, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 47 = 13*y + f, -4*y - 3 = -4*f + 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-4))\/((-3)\/(-48)). Let t = 10.8 + -10.8. Sort 4\/5, t, c in descending order.\nAnswer: 4\/5, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -981 divided by 4?\nAnswer: -981\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 8*g - 3*g - b, -3*g + 5*b = -8. Suppose 22 = k + 2*y, -g*k + k = 4*y - 104. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 17\/3*l**4 + 0 - 1\/21*l**7 + 24*l**2 + 3\/10*l**5 - 4\/15*l**6 + 52\/3*l**3 + 36*l. Suppose d(f) = 0. Calculate f.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 441 (base 13) to base 10\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*z + 2. Suppose -22*x + 25*x + 3 = -5*w, 3*x - 5*w = 27. Suppose 5*j = -6*h + h + 8700005, z*h = x. What is j rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 179b9?\nAnswer: -179b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 23*v**2 - 3*v - 57. Let d be a(-23). What is the greatest common divisor of d and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*u**2 - 29*u + 1.\nAnswer: 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10023.\nAnswer: 3, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.053 - -38.053. Which is the biggest value? (a) -4 (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/(-8)*(-890)\/356*(-2)\/45?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1479699.\nAnswer: 3, 13, 12647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003016?\nAnswer: 2, 7, 17911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*x = -10 - 27, 2*x = 5*f - 63. Suppose -6*v = -260 - 412. Suppose f*y - v = 9*y. What is the highest common divisor of 56 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -197*l**2 + 710*l - 709. Calculate u(1).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-50)\/55)\/5)\/((-1152)\/(-9504))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 2522.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 6*w - 6. Let v be k(6). Let i = v - -8. Solve 0*l = i*l - 2*j + 6, -28 = 4*l + 4*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.051 - 0.065. Let s = r + 0.196. Put -2\/5, 1.7, s in decreasing order.\nAnswer: 1.7, s, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*r**2 - 17*r**2 + 14*r**3)*(3*r + 0*r - r)*(0 + 0 - 1).\nAnswer: -28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/2*(-17 - (-3)\/3). Let b be -4*3\/(-4)*1. Suppose -b*l + k + 74 = 0. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 12782?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/12165, -32, 2.\nAnswer: -32, 1\/12165, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 5*y**2 + 5*y + 4. Let o be h(6). Does 7 divide ((-3)\/((-3)\/47))\/(-1 - o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*n + 97. Solve 5*v + n = 3*p + 12, -4*p + 4 = -v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 39*u**2 - 174*u - 153. What is k(-34)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 10:30 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-329))\/((-1332)\/(-3108)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 + 143025*a**3 + 1573014*a**2 + 4861800*a + 3431808 = 0. Calculate a.\nAnswer: -47664, -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3200 - -20715. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 7 (c) 145.2 (d) -0.4 (e) -0.5 (f) 322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 5:04 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022020121211 (base 3) to base 6.\nAnswer: 22511421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*t - 15 - 85, -3*q - 126 = -2*t. Let s = q - -141. Calculate the remainder when s is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70543.1 + 31.\nAnswer: -70512.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**2*a**(-10))\/((a*a*a**(-5\/2))\/a*a**(-2\/13)))**(-1\/36))**(12\/7) assuming a is positive.\nAnswer: a**(55\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69676 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + m - 7 + 3 = 0, -t = 5*m + 2. Suppose -f = -5*f + 2*a + 22, f - a - 6 = 0. Let h = -2 + 6. Put f, t, h in descending order.\nAnswer: f, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**3 + 8*b**2 - 14*b - 1. Let w(y) = 4*y**3 + 8*y**2 - 13*y + 1. Let c(g) = -6*p(g) + 5*w(g). Is 6 a factor of c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3832, -30587, -103192, -244573, -477656, -825367, -1310632?\n\"Answer: -3821*o**3 + o**2 - 11*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/9)\/((-1)\/(-15)). Let c = 4 + -8. Let j be (c\/(-9))\/(16\/72). Solve -j = -2*p, -b*p + 0 = 4*i + 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4\/3 - 16583*v**3\/3 + 16585*v**2 - 49757*v\/3 + 16586\/3 = 0.\nAnswer: -16586, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/32396 and -57\/112.\nAnswer: 129584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3684791594 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5*u + 16 = 0, 48*a = -3*a + 52*a - u + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -156? (a) 5 (b) -3 (c) -1\/3 (d) -4\/7 (e) -4.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -92012*b**3*g + b**3*j + b**2*j - 76*b*g*j - 228*g - 7911*j wrt j.\nAnswer: b**3 + b**2 - 76*b*g - 7911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/8)\/(2\/(-4)). Let y = 187 + -182. Which is the second biggest value? (a) y (b) w (c) 2\/9 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -0.2, 12, 0.03, 0.02?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/15)\/((-5)\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 210*r**2 - 10*r - 3. Let p be g(4). Let f = p + -2110. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.866 + -0.134. Let r(i) = i**3 - 5*i**2 - 8*i + 7. Let q be r(6). What is the third smallest value in -1\/5, q, 0.3, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336\/(4\/1) + -1 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 292, 2\/25, 5\/2, -4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3)**(-31))**(2\/15) assuming z is positive.\nAnswer: z**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 110000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 378591795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1 = 49. Let m be n - (-10)\/(-2) - 4. Let g be (-15)\/(-6)*2\/1. Is g at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -20689980.841\nAnswer: 20689978.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148 - 136. Suppose 2*p - 2*l - u = 0, -l - 5 = -6*l. What is the smallest value in p, 0.1, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -2*v**5\/15 + v**4 + 11*v**3\/3 - 42*v**2. Let w(t) = -4*t**2 + 13*t + 12. Let m(n) = 6*a(n) - 11*w(n). Give m(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4238620 divided by 1059655?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.1 + -4. Let w = 1 - 23. Let f = w - -19. What is the closest to j in f, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 20, -3*f - 58*h + 13 = -54*h - 7 - 6 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.68049 rounded to one dp?\nAnswer: -18.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24886805*t**4 + 74705035*t**3 + 447828610*t**2 - 803100*t + 360 = 0. What is t?\nAnswer: -3, 2\/2231, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5*a = 15, 46*a - 2 = -g + 44*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 267?\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.131 + 8.131. What is the biggest value in -36, -4, -2\/3, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682989 is divided by 341488.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 78 + 5 + 22 = 0. Let d be (1 - (0 + 0))*1. What is the highest common factor of d and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**3 + 2*w**2 - 234*w - 235. What is b(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10*(-65)\/52. Which is the closest to 0? (a) -0.2 (b) 1\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31849\/9702 - -8\/1617. Calculate the common denominator of -29\/12 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 14, w: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v - 5. List the prime factors of k(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1790 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 2*l - 3. Let u be k(2). Suppose 4*f + r = 9, 5*f + 4*r - 6*r + u = 0. What are the prime factors of ((-11)\/3)\/(f\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 + -193. Let l = o - -59.4. Let p = -95\/4 - -24. Which is the nearest to 2? (a) p (b) -1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/7 + ((-8)\/(-20))\/((-784)\/(-3976))*1?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 1 q when three letters picked without replacement from qneqennneuxieqxeex.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 545 + -530. Suppose 0 = 2*j + 10, -m - 3*m - 2*j + 10 = 0. Suppose 0 = 2*f - 5*v - a, v - 1 = -m*f - 4. Is f less than or equal to -2\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4 - 58197034*f**3 - 174591090*f**2 - 174591086*f - 58197028 = 0 for f.\nAnswer: -29098514, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 48*z**2 + 2. Let f be t(-48). Solve f*c + 3*u + 1 = 0, 5*c + 3*u + 9 = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 7*u - 275. Let w be p(21). Calculate the greatest common divisor of w and 1159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 485 = 3*s + 425, 3*o - 40 = -2*s. Solve -459*b = -449*b - s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*k = 82*k - 9. Put 4, 1, k, -13 in increasing order.\nAnswer: -13, 1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i + 14*i - 217536. Factor 9061*o**2 - 165*o - i*o**2 + 675*o - 21675.\nAnswer: -3*(o - 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.0458 - -0.0458. Which is the third smallest value? (a) k (b) -4 (c) 3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, q: 2, i: 4, n: 1}. Give prob of sequence vn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4437187 + l**2 + 4437187. Let j(z) = z - 4. Let u be j(6). Let w(m) = -1 + 1 + 10*m**u. Calculate i(w(o)).\nAnswer: 100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9570 times -128\nAnswer: 1224960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q - 3. Let u = 4 + -4. Suppose u = -2*n - 4. What are the prime factors of a(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(15 - 4 + 7)*(-2*k - 3*k + 2*k).\nAnswer: 108*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1573) - (sqrt(1573) + 5*(sqrt(1573) + -1)))**2 - (sqrt(1573) + -1)**2*-5 - (-5 + 1*sqrt(325)*-4)**2).\nAnswer: -5160*sqrt(13) + 251970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 6*m + 5*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.560119 take away -0.052?\nAnswer: -15.508119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 361371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 194359937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 3*y - 2*y - 5*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 131959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76521563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*j**3 - 2*j**3 + 16*j**3.\nAnswer: -84*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 44*k**2 - 13*k - 747. Determine v(23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72*m + 2158*m**2 + 390*m - 759 - 2157*m**2 + 99 with respect to m.\nAnswer: 2*m + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(77\/(-28)). Which is the second biggest value? (a) 0.2 (b) y (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-20) + -11 + (-102)\/(-10).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g - 5*g - 23*g - 24*g.\nAnswer: -69*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2435 - 2433. Let p(v) be the first derivative of 5\/21*v**3 - 1\/7*v + 2 + 2\/7*v**d. Factor p(q).\nAnswer: (q + 1)*(5*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + k + 151688 = 151293, -g - k = -21 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -17*y + 1199. Give g(69).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(100\/52) + 1 + -1. What is the third biggest value in -0.1, -7\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + ((-7)\/(7\/(-6)))\/2. Find the third derivative of 9*n**2 - 10*n**2 - t*n**6 + 9*n + 13*n**4 + 21*n**4 + 2*n**2 wrt n.\nAnswer: -240*n**3 + 816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 56188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 50. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84.6694 - 381.419. Let r = b - -297.2496004. Let u = -0.5 + r. Round u to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000116829492 to seven decimal places.\nAnswer: -0.0001168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r = 33*r - 66. Let u = 1 + 5. Let l be 4\/u*(-9)\/r. Sort -4, -3, l in ascending order.\nAnswer: -4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*a + 5*l, -4*l = 4*a - 9*l - 30. Let t(w) = -w**3 + 4*w**2 + 4*w + 5. Determine t(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 3*o**2 + 7*o - 2. Give w(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 2\/21*d**3 + 3\/7*d**2 + 0*d + 20. Factor h(j).\nAnswer: 2*j*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98014484 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 40 = 5*u. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203120 + -2?\nAnswer: 203113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a - 10*a - 95*a**3 + 58*a**3 + 44*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2 - 19*t - 32. Let y(o) = -40*o - 252. Let g be y(-6). Let z(k) = k**2 + k - 1. Let p(r) = g*z(r) - 3*b(r). Factor p(d).\nAnswer: 3*(d + 3)*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -24. Is t at most as big as -80\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204059581 is divided by 861?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1387 is divided by 291.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/6*78\/(-260)*0. Sort r, -45, 2 in ascending order.\nAnswer: -45, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000756233 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.67716 rounded to 2 decimal places?\nAnswer: 62.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 0, -74, 61, 5 in descending order.\nAnswer: 61, 5, 2, 0, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3566578, -3566577, -3566576?\nAnswer: -3566575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-5)\/15)*154\/(-84)*-2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7812926 months in millennia?\nAnswer: 0.00014844105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*z = 4*x - 69*z - 6298, -2*z = 5*x - 7874. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**(3\/4)))\/(u\/(u*((u\/u**(3\/2)*u)\/u)\/u*u)))\/(u*u**(-1\/4))**8)\/(((u*(u*u**(-6)*u)\/u)\/u**(-4))\/((u*u**2*u)\/(u\/u**(3\/2)))) assuming u is positive.\nAnswer: u**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 5*z. Differentiate -2*j**2 + z - 5*j**2 + 3*j**2 + 2*j**2 wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1548?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 153, 191, 257, 351, 473, 623, 801?\n\"Answer: 14*r**2 - 4*r + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.244 * -0.2\nAnswer: -0.0488","meta":{"dup_signals":{},"source":"arithmetic__mul_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 335241 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -8 - 15 - (8 + (6 - 86) + 8).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 + 648*f**2 + 675*f + 10. Let a(o) = 4*o**3 - 971*o**2 - 1013*o - 14. Let u(d) = 5*a(d) + 7*z(d). What is the second derivative of u(x) wrt x?\nAnswer: -6*x - 638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 3\/2, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3336 + -3349.21. What is r rounded to 1 decimal place?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-12)\/(p**(-39)*p)*p*((p\/(p\/((p*p**(-43))\/p)))\/p)\/p*p**(-17\/3) assuming p is positive.\nAnswer: p**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3991, 4067, 4321, 4855, 5771, 7171, 9157, 11831?\nAnswer: 15295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 11. Let g(m) = -m - 4. Suppose -2*k = 3*k - 120. Let x = k - 13. Let y(l) = x*g(l) + 4*v(l). Let u(s) = -6*s - 2. What is u(r) + 5*y(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*d + 147*d - 18 = -6*w, 13 = 7*w + 2*d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h - 3412 + 1712 - 2*h + 1700.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/3, 11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1\/(2\/((-5)\/(20\/(-784))))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - x + 5*x - 2*x + 60 - 4*x.\nAnswer: -2*x + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -15*z**2. Let v(b) = -b**2 + 2*b + 5*b - 7*b. Give u(v(w)).\nAnswer: -15*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/9 (b) 5 (c) -2\/41 (d) -5 (e) -156 (f) 4\/5 (g) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 5 = -14*z. Let u be z\/(-20) + 423\/4. Let f = u - 57. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 560, 854, 1156, 1472, 1808?\nAnswer: 2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 227*t**2 - t + 3.\nAnswer: 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26340, -52593, -78756, -104835, -130836, -156765, -182628, -208431?\nAnswer: -234180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*s + 44, -4*s - 1 = -2*b - 25. Let o = s - 6. Suppose c - 2*x + 43 = o*c, -c + 46 = 3*x. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2 + 63\/18. Let p(z) = -3 + 0*z - 6*z + u*z + 2*z. Give p(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29583588 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -102*l**2 + l - 156. Let p(n) = n - 3. Let r(w) = -p(w) + u(w). Differentiate r(b) with respect to b.\nAnswer: -204*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-182)\/45 + 148\/3330\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**3 + k**2 - k + 4. Give o(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 0 + 3\/5*d - 12\/5*d**2 = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, l: 2}. Give prob of sequence olo.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4 + 5 + 5*u**2 - 6. Suppose 3*p - 7*q - 16 = -2*q, -40 = 5*p + 5*q. Is z(p) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 3*a**2\/2 + 3*a + 4. Let l(r) = r + 1. Determine -d(j) + 2*l(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68486902 and 9766.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 780. Let a(m) = 40*m**2. Give r(a(f)).\nAnswer: -40*f**2 + 780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c - 23. Determine w(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137580187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3247044?\nAnswer: 2, 3, 270587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151613 + -1.03.\nAnswer: -151614.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*v = 60*v - 8. Let o(m) = -608*m - 9. Is o(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/(-21))\/(4080\/(-224) + 18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119372 is divided by 3979.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 - -1.1. Which is the second biggest value? (a) 2 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-28))\/((-18)\/(-96)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 6:43 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 91816464 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107 (base 13) to base 7.\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k**2. Let y(a) = -a + 28. Let g(t) = 5*t - 24. Let q(l) = -7*g(l) - 6*y(l). Calculate q(p(f)).\nAnswer: -232*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -k + 3*k - 3088, -5*c = 10. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpppffppfpppfp. What is prob of sequence fppf?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34080663 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 197346 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13047a (base 16) in base 15?\nAnswer: -19943a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 82, 165, 248, 331, 414, 497?\n\"Answer: 83*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 18*b + 19. Let u be l(17). Suppose u*t + 0*w - 278 = -w, 4*w = -4*t + 548. What is the remainder when t is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 952 and -3.79.\nAnswer: -3608.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 1. Let g(d) = 8*d**2 + 53*d + 33. Let h be g(-6). Let u(y) = -10*y**2 + 3. Determine h*c(a) - u(a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 0 + 1885*c**2 + 25.\nAnswer: 1885*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26538057941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139200*i**5*l - 123*i**3*l + 2*i**2*l + 957*i**2 - 5*i*l + i + 5*l + 1 wrt i?\nAnswer: -8352000*i**2*l - 738*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 882637193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 559, 1010, 1755, 2788, 4103, 5694, 7555, 9680?\n\"Answer: -a**3 + 153*a**2 - a + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/21*32984\/(-912).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2245*w + 3285 with respect to w.\nAnswer: -2245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 0*m - 5, -5*m = 2*j - 26*m - 15*m - 168 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyyi when four letters picked without replacement from {y: 4, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 2*s - 3*n - 24, -4*n = -20. Let w = 5 + 23. Suppose 60*j = 56*j + w. Solve 3*h + 3*c + 9 = 0, -3*h + s*c - 5 = j*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 f when three letters picked without replacement from cffkkw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-208 + 6 - 181 - 1023)*(d - 2*d - 2*d)*(0*d + 0*d - 2*d**4).\nAnswer: -8436*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*u + 89747 = 89747 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**11\/(b*(b\/(b*(b*b**11)\/b))\/b))\/((b\/(b*((b\/(b*b*b\/(b\/b**(-7))))\/b)\/b*b))\/((b\/(((b*b*b**(7\/2)*b)\/b)\/b))\/b)))**(-3\/19) assuming b is positive.\nAnswer: b**(-135\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 54 = 5*f + 22593*d - 22602*d, 2*f - 67 = -3*d for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j = 4*t - 19*j + 28, t = -2*j + 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172692 is divided by 242?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 5\/3, -0.076, 9?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -20. Sort -1, -4, j.\nAnswer: -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1342 and 920.\nAnswer: 617320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 1. Let w(a) = -4*a + 6. Give -w(b) + 2*x(b).\nAnswer: 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 2 + (77 - 84)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + 2 + -3 + (-23 - (32 - -28)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 65. Which is the fourth smallest value? (a) 2 (b) g (c) 0.1 (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 139*v**3 + 14*v**2. Let k(m) = 70*m**3 + 7*m**2. Let z(b) = -7*k(b) + 3*y(b). Find the third derivative of z(i) wrt i.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 16. Let n = o + 11.8. Let d = n - 2.08. What is d rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82\/394467 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -1. Let l = -910.98 - -910.98. Put 1, d, l, -2 in decreasing order.\nAnswer: 1, l, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g**3 + 8*g**2 + 2*g. Let p(h) = -17*h**3 - 17*h**2 - 5*h. Let a(n) = -2*p(n) - 5*u(n). What is the third derivative of a(q) wrt q?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*v = v - 107, -u = 3*v + 14. Let h = 20 + u. Let z be h\/9 + (-26)\/(-6). Solve 0 = -4*n - 0*n - z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Let f(k) = k + 12. Let m be f(-8). Suppose -n*q + 16 = -m*j, 0*q - 4 = -5*q + j. Solve -3*b + c = 0, 4*b + 4*c + 0*c + 16 = q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 167*p - 226. Let w = -434 + 435. Let z(l) = -l + 3. Let o(a) = w*v(a) + 4*z(a). Find the first derivative of o(d) wrt d.\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -3. Let q(o) = -3*o + 6. Let r be q(4). Let j be 6\/r + (13\/1 - 2). Solve -f*g + 3*g = 5*a + j, -4*a = -5*g - 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 15. What is k(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -258, 3110, 8732, 16614, 26762, 39182, 53880, 70862?\n\"Answer: i**3 + 1121*i**2 - 2*i - 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*w + 6084, 5*v + 3651 = 3*w + 2*v. What is the highest common factor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 24. Let p be k(-7). Let i be (19\/3 + -4 - 2)*p. Is 3\/46 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 514741660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 112, 98, 84, 70?\n\"Answer: -14*m + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -497 - 863. What is the tens digit of ((-310)\/40)\/((-1)\/z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1541 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*k - 10882, 13*c + 3*k - 10877 = 8*c. Calculate the greatest common divisor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -45, -60, -71, -78, -81?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1348 or 945?\nAnswer: 945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.18 - 10.58. Is 1\/3 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 855 = 45*f - 3455. What is the smallest common multiple of f and 39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2199*p**2 - 1 - 2 - 2277*p**2 in the form k*p**2 + l*p + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -50*p - 247. Let g be m(-14). Let v = g + -2262\/5. Let x = -151\/2 - -77. Which is the third smallest value? (a) 0 (b) x (c) 4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*v = -4*v + 37, l = -4*v + 12. Let n be (-3)\/l - 21\/(-8). Solve -n + 0 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0 + -2 + sqrt(275)*-1 + (-1*sqrt(11)*-5 - sqrt(11))*3)**2.\nAnswer: -32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 32931 = -4554. Let s = 44204\/11 - 2076367\/154. Let c = s - o. Calculate the common denominator of c and 59\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -0.02, -2, -39, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzttbtzzbtttbbtzt. What is prob of picking 3 z and 1 b?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 1. Let q(c) be the first derivative of c**4\/12 + 9*c**2\/2 + 2*c - 19. Let a(z) be the second derivative of q(z). Determine j(a(i)).\nAnswer: 8*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m + 12*m - 32 - 10*m. Calculate n(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = 68*j - 48327. Calculate the remainder when j is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1780 - -1810. What is the smallest common multiple of m and 1794?\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -953, -3886, -8703, -15344, -23749, -33858, -45611?\n\"Answer: 10*y**3 - 1002*y**2 + 3*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + p**2 + 0*p**2 + 0 + (-p - p + 0*p)*(-3*p + 0*p + 2*p))*(21 - 6*p - 21).\nAnswer: -18*p**3 - 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*r - 37. Let w be 1 - (r - -1 - -2). Suppose w*m + 77500005 = -z, -22775598 - 54724397 = 5*m - z. What is m rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-56))\/((-2)\/14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*f**2 + 23*f + 32*f**2 + 65*f**2 + 20*f**2.\nAnswer: 52*f**2 + 23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8433 divided by 96\nAnswer: -2811\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 m when four letters picked without replacement from {r: 9, m: 11}?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11710 is divided by 1292.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*j = -285*j - 4*w + 28 - 0, -j + 160 = 13*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c + 9. Let a be q(-3). Suppose -u + 3*l + 496 = 3*u, a = u - 4*l - 137. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -58, -55, -54?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**6\/60 + x**5\/30 + x**4\/12 - x**3\/3 + 2*x**2. Factor j(v).\nAnswer: -2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43558?\nAnswer: 2, 29, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 40*b**2 - 2*b - 59*b**2.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/3 + 3*c**3 - c**2 - 29*c\/3 - 6.\nAnswer: (c - 2)*(c + 1)**2*(c + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 33.35.\nAnswer: -33.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 964834.1 days?\nAnswer: 83361666240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73084 + -111382. Let v = a - -80523. Suppose 2*f = -q + 7*f - 8465, -5*q = -5*f + v. Round q to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.874 + 0.194. Let x = y + 0.18. Let k = x + 1.5. What is the smallest value in -3, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = m - 3*m, 2*m = -5*y - 26. Let c = 5 + m. Find the second derivative of 4*t + c*t**5 + 4*t**5 - 9*t wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39349 + -39280. Solve 67*z = o*z - 4*v - 8, 0 = 4*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*v**2 + v**3 + 810*v**4 + 14*v**2 - 2*v - 504*v**4 + 191*v**4 - 2 to u*v + t*v**4 + d*v**2 + o + i*v**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1873*y**3 - 8*y**2 + 2*y + 52. Let h be x(-6). Let f = h - 700620. Round f to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 73453, 73635, 74111, 75025, 76521, 78743, 81835, 85941?\n\"Answer: 24*c**3 + 3*c**2 + 5*c + 73421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 604*i**5 - 54748*i**3 - 172*i - 84284 wrt i?\nAnswer: 12080*i**3 - 328488*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/24)\/(2\/12)*(-25)\/60. Let 2\/3*y**3 + 22\/3*y + 14\/3*y**2 + x = 0. Calculate y.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**3\/6 - 17*h**2\/2 - 37*h. Give j(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, q: 3, u: 7, e: 4}. What is prob of sequence qq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 2. Let f(o) = 3*o**2 - o - 5. Suppose 0 = -4*x - 36 + 12. Let s(v) = x*f(v) - 17*t(v). What is s(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 35820200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23665 - 23665.3. What is the closest to -0.2 in 5\/6, i, -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 38, 55, 70, 83, 94?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56305 and 15.\nAnswer: 168915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2. Let p(n) be the second derivative of -n**4\/3 + 11*n**2\/2 - 7*n - 10. Calculate d(p(s)).\nAnswer: -32*s**4 + 176*s**2 - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -123*-1\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -640.1 + 640. What is the nearest to 0 in -1\/6, q, -4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-38)\/8 + 5)*-63 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 - 7*u + 13 + 43 - 11 as c + l*u**2 + v*u**3 + j*u and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 206\/7 (b) -0.1 (c) 5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*w**3 - 853317*w**2 - 1535922*w.\nAnswer: -3*w*(w + 56886)*(5*w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Let f = -1 + c. Solve -5*k - 13 + 3 = -5*u, -f = k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than 746\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 19 - -3 - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1462, 1464, 1444, 1402, 1338, 1252, 1144?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -8, 3*u = -11*c + 7*c + 24311. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19143383 to the nearest one hundred thousand.\nAnswer: -19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, c: 1, k: 2, u: 1, n: 2}. What is prob of sequence nnu?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508556014?\nAnswer: 2, 19, 13383053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 + 290*y - 290*y.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11 + 3)\/(-4))\/((-128)\/32)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -0.7119?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**6\/120 - n**5\/20 - n**4\/24 + 2*n**3\/3 + 8*n**2 - 3*n. Determine q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(6*(0 + sqrt(1377)) + 1*sqrt(1377) + 5)**2.\nAnswer: 1260*sqrt(17) + 134995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48.6 - -47.8. Which is the smallest value? (a) -5 (b) i (c) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -50.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3754.15 + 3688. What is x rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:55 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6206 * 11396.\nAnswer: 70723576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 452901563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z - 188. Let w = z + 79. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 344 = 3*v. Let s be v\/(-6) + (-4)\/6. Let x = s - -20. Solve -6*k = 2*p - k, 0 = -x*p - 5*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 3*f**2 + 18*f + 18. Does 12 divide s(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*q**3 + 14*h**3*q + 2*h**2*q**3 - 27*h**2*q - 45*h*q**2 wrt q.\nAnswer: 12*h**3*q + 12*h**2*q - 90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15452?\nAnswer: 2, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 0*m - 8 = 0. What is the smallest common multiple of 62 - -8 - (0 + -1 - -3) and m?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*4*(sqrt(68) - 3*sqrt(68)*2))\/((1*sqrt(16)*-3)\/(sqrt(36)\/(sqrt(9)*-1))))**2.\nAnswer: -200*sqrt(17) + 6825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*k - 9. Let l(m) = m**3 + 8*m**2 - 14*m + 3. Let n be l(-10). What is the common denominator of (n\/k)\/(4\/(-6)) and 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = y - x + 6*x, 18 = 5*y + 3*x. Suppose u - 3*v = 2*u - 3, y*v = 3. Solve -2*i - i + 9 = u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**6\/120 + 13*t**5\/60 - t**4\/2 - 7*t**3\/6 - t**2 + 30. Let i(h) be the second derivative of r(h). Calculate i(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 15 = -8*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010202211110200 - 11?\nAnswer: -1010202211110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 > 532\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 2. Suppose 0 = -3*j - 5*m - 15, -2*j + 4*m - 2*m - 10 = 0. Let d(h) = -h + 2. Calculate j*d(q) - 6*r(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 20, 39, -5, 0 in ascending order.\nAnswer: -5, -3, 0, 20, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19e - -3?\nAnswer: 1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1855, 3716, 5589, 7480, 9395, 11340, 13321?\nAnswer: 15344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3024034 + -1204?\nAnswer: 3022330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7384)\/(-143) + (732 - 783).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 134, 270, 406, 542?\n\"Answer: 136*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 divided by -312531?\nAnswer: 59\/104177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*t - t**2 + 3 - 14 + 17 + 8*t as y*t**2 + s + z*t and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cicw when four letters picked without replacement from ccwwiiiidw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 4*f**2 - 8*f + 62. Calculate v(-8).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -1, 2\/3, 3, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/16)\/(-3))\/(((-495)\/(-20))\/(-9)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 14*a**2 + 0 - 7\/3*a**3 - 9*a. Let m be p(10). Is m smaller than -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 23*i**2 - 23*i - 20. What is k(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 28 + 41 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**3 + 25*i**4 - 79*i**2 + 904 - 904 wrt i?\nAnswer: 600*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - 5*sqrt(78)*1 - 5*sqrt(78)*2)\/(sqrt(216)*1*-4).\nAnswer: 7*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 13*t**4\/12 - 5*t. Let r(d) be the first derivative of d**2\/2 - 6. What is r(a(q))?\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k + 30. Let n be z(-3). What is the closest to 13 in 1\/50, -0.1, n?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 24 + 20. Solve -o*l + k - 10 = 1, 3*l + 8 = k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 83?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9000 and 46306440.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -91, 7, 0.4 in decreasing order.\nAnswer: 7, 5, 0.4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1134067.\nAnswer: -2268134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/30 (b) 3 (c) -4 (d) 2\/103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4 + 8. Suppose 0 = -2*p + u*p - 6. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807 - 69 - 268 = -26*m for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3*q**2 + 2 + q**2 + (-26*q - 15*q - 15*q)*(-3*q - q + q) to the form j*q + i + h*q**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 221110*n**3*w + 24373*n**3 wrt w?\nAnswer: 221110*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2858 times -1.9?\nAnswer: 0.54302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqq when three letters picked without replacement from {k: 2, q: 2, m: 2, j: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -5. Suppose 0 = z + k*m, 2*z = 3*z + m - 3. Solve -14*f**5 - 66*f**3 + 58\/3*f**2 - 8\/3 + 166\/3*f**z + 8*f = 0 for f.\nAnswer: -1\/3, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485, -487, -495, -509, -529?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 + 8*a**3 - 23*a**3 + 5*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -187613, -374334, -561045, -747740, -934413, -1121058?\n\"Answer: t**3 - t**2 - 186725*t - 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 + 0.12. Let m = -85 + 27. Let s = m + 52. Which is the third smallest value? (a) s (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.974 and -2.\nAnswer: 1.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (2 + 0 - 1). Suppose -9 = -3*f + 6*f. Let p be -2 + 1 - f*1. Solve s + j = 3*j - m, -s - j + p = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26768128 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6602, 26627, 60000, 106715, 166766, 240147?\n\"Answer: -c**3 + 6680*c**2 - 8*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4146 - 2341. List the prime factors of b.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 1786*n**7\/35 + 3974*n**3\/3 + 185*n**2 - n - 4. Find the first derivative of t(l) wrt l.\nAnswer: 42864*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 24*g**2 + 119*g - 3. Let d be j(-5). Solve d*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 5:35 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5.0357 (b) -0.1 (c) -0.063\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 2*i**2 + 2*i**2 + (6*i - 3*i - i)*(-5*i + 0*i + i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110101110000 - 0?\nAnswer: 10000110101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4996031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0085836 and 0.108?\nAnswer: -0.0009270288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 3*s**3 + 3*s**3)*(-3 + 1 + 3) - s**3 + 0 + 0 + 2 - 2 + s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 5:10 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1\/6*99\/110.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 5. Let k be q(-5). What is the remainder when (k\/(-2))\/(13\/(-286)) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -78 from 5.0092.\nAnswer: 83.0092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2\/(k*((k\/(k**(2\/9)*k))\/k)\/k))**41)**(-24) assuming k is positive.\nAnswer: k**(-9512\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:18 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 215?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 6\/7 (b) -4 (c) -2\/7 (d) -30 (e) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 40b?\nAnswer: -40e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 1, t: 1, d: 1, h: 4}. What is prob of picking 1 d and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 37636 = -4705. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-4) - 1\/4)\/1. Is -14\/11 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 k, and 1 n when four letters picked without replacement from {y: 5, l: 6, k: 2, w: 2, n: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551 - 97 = -13*l - 1 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*o = -178*o + 35. Suppose 0 = -5*c - 2*m + 6*m + 1177, 2*c - 484 = -o*m. Calculate the remainder when c is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(2736) + -3 + 1 + sqrt(2736) + sqrt(2736) + sqrt(2736))*-3 - 6*1*sqrt(2736)*2)*-5 + 2))**2.\nAnswer: -322560*sqrt(19) + 157596736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -16. Let x(l) = -l**3 - 21*l**2 - 19*l - 47. Let f be x(s). Let a = 71 + f. Solve -a*t - 3 = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*d + 4533 - 33*d**4 - 76*d**4 + 3*d**3 + 108*d**4 - 2*d**3 wrt d?\nAnswer: -4*d**3 + 3*d**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1)\/((10 + -4)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, m: 5, e: 2}. Give prob of sequence pm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 450249493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/(-429))\/(2\/(-52))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101 - 2*l - 3*l + 110 to the form o + r*l and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2259328*1.7.\nAnswer: 0.38408576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q - 1 + 1)*(3 + 1 - 6) - q - q + 4*q + 1 + 2*q - 1)*(0 + 3 - 5).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + -4 + (8 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/33, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l**2 + 0*l**2 + 3 + 7*l**2 + l - 5 to u*l**2 + i + f*l and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.58157 decades in millennia?\nAnswer: 0.1658157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 89031 - 4?\nAnswer: 89027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 64 - 41 - (-20 - 0)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1820\/(-98) + 18 - 2\/308*-172?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:25 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322759, 322761, 322761, 322759, 322755, 322749?\nAnswer: 322741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17f7 (base 16) to base 6\nAnswer: -44223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 6, 3, -14, -51?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 161*y**3 - 4*y**2 - 220*y**3.\nAnswer: -59*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 8*m**2 - 7*m + 16. Let w be b(7). Suppose 10*t + 24 = w*t. Is 312\/2 + 4\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1044 = 487*o + 35*o. Suppose -l + 691 = 189. What is the lowest common multiple of o and l?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 + -7 + -4 + 39 - -13?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*j - 0. Let k(c) = 2*c**3 - 3*c**2 + c + 2. List the prime factors of k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010202021112 + -10?\nAnswer: 2010202021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2 + 2 + 0*w**2 + 6*w**2 + w**3 + 2. Let u be t(-6). Put -5, u, 1 in descending order.\nAnswer: u, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5605 - 408 - 620 = 2*c + 199*c for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/105 of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/6 + 8 - -2. Suppose c - l*s = -c + 2878, 3*s - 7195 = -5*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17591560.\nAnswer: 2, 5, 7, 62827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2765945461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/34 - (9 - (-103)\/(-10)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1205 + 34*v**2 - 1205)*(4 - 2 + 0)*(0 + 0 - 3)*(1 + 0 + 0) to the form n*v**2 + x + a*v and give n.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*u = 4*u - 30, u - 30 = -5*q. Suppose 82 = q*d + 72. Solve -5*s = 8 + d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64d9 (base 15) in base 7?\nAnswer: 116154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.883 - 10.\nAnswer: -9.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + 468550?\nAnswer: 46855c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 89 = q - 3*q, 0 = 2*q - 2. Let z = o - -240. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -55\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6 at least 1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -110. Let x = 147 - j. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2 - 2. Let u(k) be the second derivative of 8*k**4 - k**2\/2 - 2*k + 3. Is u(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -920 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f**(1\/5)*f)\/f))\/f**10)\/((f**2*f)\/f*f*f*(f*f**18)\/f))**29 assuming f is positive.\nAnswer: f**(-4524\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.55330243 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 15548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110 is divided by 132.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4))\/((-2)\/(-4)). Suppose f*b + 23 = n, 3*b = -6 - 9. Let j = 8 - n. Solve 5*i - 5 + 0 = j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.60328 - 54564\nAnswer: -54564.60328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4\/3*l**5 - 1112\/3*l - 764\/3*l**3 - 1412\/3*l**2 - 140\/3*l**4 - 320\/3 = 0.\nAnswer: -2, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -18 - (-34)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25, 195, 499, 943, 1533?\n\"Answer: w**3 + 61*w**2 - 20*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13992 and 195384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1))\/(b**(-7)*b))**(-28)*(b**(-4\/5)\/((b\/b**3)\/b))\/(b*b*b**2\/b)**(-1\/29) assuming b is positive.\nAnswer: b**(-24026\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3233 (base 4) to base 15\nAnswer: -10e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/15419226 and 35\/98316.\nAnswer: 92515356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 18 = 4*j, 0*j - 5*j - 4*c + 29 = 0. Let a be ((-10)\/(-4))\/(j\/(-940)). What is a rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2 (c) -5 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*s**3 + 542*s**6 + 33 + 42*s**3 - 77 + 2*s**2 wrt s.\nAnswer: 65040*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z = -40*z. Suppose z = 10*p - 11*p + 47. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1629616 and -59\/3282144.\nAnswer: 1867539936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1524*m**3 + 595*m**2 + 829*m**2 - 203*m**2 - 20*m**2 wrt m?\nAnswer: -9144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u + 33*u - 5*j = 59*u + 5, -10 = -u + u - 5*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -4, -1\/3, -555.8 in descending order.\nAnswer: 0.08, -1\/3, -4, -555.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (7 - 8) - (4 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2 - 552*w + 553 = 0. What is w?\nAnswer: -553, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)*o**7)\/(o**(-2))**38 assuming o is positive.\nAnswer: o**(417\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) -12 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7840 - 1899. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + -80 + (-34)\/(-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79119, -79119, -79117, -79113?\nAnswer: -79107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1216) + 1))**2*-5.\nAnswer: -97360 - 1280*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 573075207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.41 in -1, 7\/5, -1\/4, 1, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -611?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 bigger than 4793\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, c: 2, o: 2, q: 1, n: 5, x: 2}. What is prob of picking 1 u and 2 c?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 50?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80.74 - 79. Let p = -24680 + 24678.2521. Let u = l + p. Round u to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**2 + 2*o + 2. Let q be x(2). What is the common denominator of 53\/7 and 0 + (200\/q)\/4?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22\/125 - 404\/875. What is the nearest to w in -5, -0.02, 2\/11?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((300\/(-35))\/4 + 3)*28. Solve -5*w + p = -13*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 24 = 5*z, -2*z - 4*g = 3*z + 12. Suppose -2*c + 67 = 77. Put -6, c, 4, z in decreasing order.\nAnswer: 4, z, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 131, 135, 139, 143, 147, 151?\n\"Answer: 4*x + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1\/57, 0.1, 0, -4.\nAnswer: -4, -1\/57, 0, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 50 + 46 - 117 + 39 to a + u*k and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 310, 538, 918, 1450, 2134, 2970?\n\"Answer: 76*a**2 + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 116*n. Let u(g) = g**2 + 1495. Give j(u(o)).\nAnswer: 116*o**2 + 173420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 1 + 2 - 3)*(1 - 4 - 4)*(d**2 + 3*d**4 - d**2).\nAnswer: 63*d**5 + 42*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4\/4 - 1158*l**3 + 843939*l**2\/2 + 97181532*l - 229185289377\/4 = 0. Calculate l.\nAnswer: -319, 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -34, -1, -773?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*x**4 - 37*x**4 - 74*x**4 + (8 - 2*x - 8)*(2*x**3 + 0*x**3 + x**3).\nAnswer: -95*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 38*s + 433. Determine d(16).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47460, -47555, -47660, -47775, -47900, -48035?\n\"Answer: -5*m**2 - 80*m - 47375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1496243 - 3*u + 1496243.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60846233 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16929716?\nAnswer: 2, 937, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 0.30557.\nAnswer: -0.69443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9089 + -9087.033. What is d rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a microgram in nanograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(891)*3)*3*-1)**2.\nAnswer: 3888*sqrt(11) + 288828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/110 and -69\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 29 = 5*y, 5*j - 4*y + 0*y + 29 = 0. Let d = j - -15. Calculate the remainder when (-8)\/2 + (-63)\/(-3) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ioiooi. What is prob of picking 3 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 11 + 3)*(-5 + t + 5)*(3 - 3 + t).\nAnswer: 31*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -124, -3, -8, -1833.\nAnswer: -1833, -124, -8, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 1785653, 2 in descending order.\nAnswer: 1785653, 2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9)\/p)\/p*p*p**(-1\/35)*p\/(p\/(p\/(p*p**(-35)*p)))*p**(-7\/2) assuming p is positive.\nAnswer: p**(18427\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 14 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(1458) + sqrt(1800) + sqrt(1800)*1)**2.\nAnswer: -348*sqrt(2) + 15142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504 by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3 + 1542*u**2 + 4608*u = 0.\nAnswer: -768, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -15. Let o = 22.99989 + l. Round o to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*z**2 + 564*z + 246*z**2 - 336*z**2 to f + k*z**2 + u*z and give u.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**5\/60 - 1046*s**2 + 2*s. Let f(u) = 3227*u. Determine c(f(j)).\nAnswer: -10413529*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1026 + 4.8974. What is the nearest to 1 in c, 1\/6, 0, -61?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j - 4 = 0. Let t = 32068 - 32068.5. Which is the nearest to 0? (a) 0.008 (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/8, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 163*u**3 - 3*u**2 + 3*u**2 - 618*u**3.\nAnswer: -455*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a**3*y + 99*a*y + 1174*y - 2 wrt a?\nAnswer: -15*a**2*y + 99*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-15))\/((-4)\/(-234)). Let c be 10\/(3\/(-1 - 2)). Let l = u + c. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 + 37873421*k\/2 + 1434396018243241\/4.\nAnswer: (k + 37873421)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 0.05?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 106848.\nAnswer: 106848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/1078*6*4\/36?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -114 in 3\/5, -2\/7, 379?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3053882903.\nAnswer: 29, 7253, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 9*r + 7. Let t be (-12)\/(-54) + 148\/(-18). Let o be i(t). Let v = o - -8. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = 0, 2*p + p = -o - 19. What is the remainder when 12 is divided by (2 + p\/2)*(-48)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 2. Let q = -13 + 21. Suppose 3*d = -2*d + 10. Suppose -4*o + 5 = g + 16, 0 = -o - d. Let t(y) = 3*y - 6. What is g*t(v) + q*n(v)?\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 12232, 2\/163, -2\/9?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/549 + 3235\/549. Let g = -97\/2 + 153\/4. Find the common denominator of g and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.483, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sasc when four letters picked without replacement from {a: 1, c: 1, s: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -607*a**8\/336 + a**7\/105 + a**5\/15 - 217*a**4\/24 + 2*a**3\/3 - 2*a**2 - 5644. What is the third derivative of r(v) wrt v?\nAnswer: -36420*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*5*(-92)\/115. Suppose -5*d = -l*d + 42. What is the highest common factor of d and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (60 + 65 + -107).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 2, k: 1, b: 1, o: 1}. What is prob of picking 2 s and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -181 + 201. Solve -b = -4, -3*m - 7*b + 5*b = -u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 182 = -12*z - 14, -3*s + 3*z - 105 = 0. Is -392\/11 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**3\/3 + 2*h**2 + 11*h - 261. Calculate f(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 8 = -20, 0 = -3*a + 5*g + 31. Suppose 0*l - 12 = 3*l, s + a = -5*l. Solve 5*o - 29 = -4*u, s*o + 3*u + u - 19 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.145 and 109.788.\nAnswer: 109.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 6. Let c(z) = 2*z + 5. Let m(a) = 6*c(a) + 5*i(a). Let w be m(1). Suppose 0 = -w*j + 4*j - 20. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9 - 17\/(-21). Let d = -35 - -34. Which is the nearest to -0.1? (a) l (b) d (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 = 6*m. Let y(i) = i**2. Let p(x) = -6*x**3 - 5*x**2 + x - 1. Let g(w) = -p(w) - 6*y(w). What is g(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/11040 and -73\/99.\nAnswer: 364320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 0 + 0)*(3 + 16*g**2 - 6*g**2 - 9*g**2 + 0*g**2 - 6*g**2 + 5*g**2 - 2*g**2 + 0*g**2 + 4*g**2 + (-1 - 2 + 5)*(0*g + 0*g + 2*g**2) + g**2 + g - g).\nAnswer: -28*g**3 - 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -86069 - -513\nAnswer: -85556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612925 is divided by 193?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 5*p + 1, -w + 3*p = -2*w + 5. Suppose -q - w + 20 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1764 divided by 4\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*a - a - 15, a + 6 = -3*m. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 990 - 253*q - 560*q - 70*q - 288 wrt q?\nAnswer: -883","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330993230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 8228?\nAnswer: 8225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.032, 6\/13, 5?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -229*b**6\/6 - 71*b**2\/2 + 2*b + 131. What is the second derivative of g(f) wrt f?\nAnswer: -4580*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -6 + 2 + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - -0.11. Let w = n + 2.9. Let y(a) = a**3 - 3*a**2 - 2*a + 1. Let l be y(3). What is the closest to -0.1 in l, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161316 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 25 = -305. Suppose -4*u - 14 = -w, -w + 4*w - v = -5*u. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4186 + 4573. Solve w*m - 3 = 388*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31143432 divided by 18582\nAnswer: -1676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jomjjmfmjf. What is prob of sequence ffm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9536 - -171533\/18. Find the common denominator of 1\/12 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*1922\/(-2883).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 1336*l - 8025. Calculate y(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 7369996 = 5*s, -5*s - 5895992 = -s + 2*v. Round s to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 216660 a multiple of 628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 354797*y - 354797*y - 2 + 2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8962430?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x + 450. Let k(w) = 39*w - 1795. Let m(y) = 2*k(y) + 9*s(y). What is m(38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11043593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 8, -4*n - 386 + 396 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 1\/4, -0.2, 2, 437, -2\/3, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, q: 7, z: 4}. What is prob of picking 1 z and 1 f?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - -9.7. Let x = -6 + s. Which is the smallest value? (a) 1 (b) 8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/1088 and -113\/6.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 + 0 + 4 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1160304.4 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 8:06 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 7. Let f be i(-5). Suppose -6 = -y - f*g + 36, 4*g = -y + 36. Suppose 36 = -c + 4*c + 2*s, 4*c + 2*s = y. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 2*q**2 - 2*q. Let c be i(-2). Suppose -4*l = 2*z - 2*l - 16, c*z - 5*l = -4. Suppose -2*m - z*m = -942. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9215601397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 + 4*i**5 + 2*i**5 + (-116*i + 792*i - 214*i)*(-2*i**3 + 2*i**3 + 2*i**4).\nAnswer: 929*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/((-100)\/10))\/(9\/(-9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-19) + 58056\/3895. Which is the second smallest value? (a) f (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 186.17 + -183. Let m = 0.39 - 0.22. Let p = m - q. Which is the biggest value? (a) p (b) -0.13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5314 = -2*u, 3*u + 2*b = b + 7973. Let m = u + -1895. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24760354 to the nearest integer?\nAnswer: 4976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -4, -5.219, 2\/15?\nAnswer: -5.219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + i**2 - i**3 - 3*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 2431, 209 in decreasing order.\nAnswer: 2431, 209, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2)*1*6. Let d(j) = 5*j - 23. Let w be d(4). Let g be 0\/(-3 + ((-9)\/3)\/w). Solve v + b = 3*q - 2*q, g = -4*v - 4*q - 28 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 4:39 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3\/5, 5, -0.4, -34\/7 in increasing order.\nAnswer: -34\/7, -3\/5, -0.5, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1199675 + 0.041475232.\nAnswer: 1199675.041475232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3035485175 to the nearest integer?\nAnswer: 55095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-280) + 3*(-4)\/30. What is the fourth smallest value in 0.5, -1\/8, s, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a second in milliseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/7 - 34\/21. What is the nearest to 0.2 in -3, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.697 - -1.7. What is k rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7899?\nAnswer: 3, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddi when three letters picked without replacement from {i: 6, d: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 66, 87, 98, 99?\n\"Answer: -5*v**2 + 46*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 + 3314*t - 419243. Determine j(-940).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3451 + -3450.999911729. What is n rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, 27, 619, -3\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 3)*(29569*h - 2436*h - 3571*h) to m + f*h and give f.\nAnswer: -47124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y - 20. Give m(14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45145*u**2 + 2*u - 115241 wrt u.\nAnswer: 90290*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2102749 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 50.10323 grams?\nAnswer: 50103.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94890 != 426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 10*y + 2 - 2*y + 3*y)*(-100*y**3 + 117*y**3 + 83*y**3) as f*y**2 + n*y**4 + k*y**3 + w*y + r and give n.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, c: 11, x: 3}. What is prob of sequence ggxg?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 58 = -27. Let p be -1 - -1*3 - z. Let u be ((-6)\/5)\/(3\/p). Solve -2 = -2*t - u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97190455 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 622116 and 17730306?\nAnswer: 35460612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 715071239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 3:23 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 16 + 2*d + 12*d - 4*d. Let a = 5 - 14. Let h = 12 + a. Let r(w) = 2*w + 3. Give h*m(i) - 16*r(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*t**3\/5 - 62*t**2 - 68*t\/5.\nAnswer: -2*t*(t + 17)*(9*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, m: 1, b: 3, h: 1, k: 3, o: 3}. Give prob of picking 1 m and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.12 and 96.781911.\nAnswer: 98.901911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4662 is divided by 1506?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 13 - 5) + -5. Let p be ((-264)\/(-28) - 3\/7)*n. Solve -3*h - p = -0*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.737071 and -860815.\nAnswer: -860817.737071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 10. Let g(i) = -4*i**2 - i + 1. Let p(d) = d**2. Let q(v) = h*g(v) - 2*p(v). What are the prime factors of q(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**(-1\/6)\/z)\/z))**(-1\/5))**(-8\/7)*(z\/(z\/(z*z\/(z*z**(-2\/5)\/z*z)*z)*z))**40\/(z**(-1\/8)\/z**6) assuming z is positive.\nAnswer: z**(52793\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 11:51 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0 + 0)*(-2 - u + 2) - 4624*u**2 + 871*u - 871*u - 3*u + 3*u - 2*u**2 + (-2 + 2 + u)*(-2*u - 2*u + 2*u).\nAnswer: -4629*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 10*v**2 + 10*v + 7. Let l be x(11). Let w(i) = 11*i**2 - i + 7. Is w(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 12:05 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -227473400 rounded to the nearest one million?\nAnswer: -227000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x*x\/(x**5*x)*x)\/x)\/x*x*x)\/x*x**(-1\/5)*(x**(-3)\/x)\/(x*x\/x**(-2)*x) assuming x is positive.\nAnswer: x**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 10*h - 96 = 0. Suppose 0 = -f + 8 - 5, -3*f = -h*b + 55. Solve -5*t - b = -3*i, -2*i = -t + 2 - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 + -93. What is the closest to u in 2, -5, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16574, 15931, 15274, 14597, 13894, 13159, 12386, 11569?\nAnswer: 10702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**3 + 5*z**2\/2 - 4*z - 2. Let a(t) = 2*t**2 + 3*t - 3. Let k(j) = -7*a(j) + 5*p(j). Is k(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67.9 - 68. Let q be -2 + 0 + (-15)\/(-6). What is the closest to q in f, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-4)\/(-60)*3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26776, -26703, -26632, -26563, -26496?\nAnswer: -26431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.3, -0.4, -54, 0 in decreasing order.\nAnswer: 0, -0.3, -0.4, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32.5 + -32. Let b = 14.3 + -12.72. Let g = k + b. Round g to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 2*s**2 - 3*s - 2. Give n(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q**2 - q**2)*(6 - 2 + 2)*(-2*q**2 + 2*q**2 - 2*q**3) - q**5 - 2*q**5 + q**5 + (3*q**2 - q**2 - 3*q**2)*(0*q**3 + 2*q**3 - 3*q**3).\nAnswer: 11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/5 + 1*(-90)\/(-25). Let a(g) = g**2 - 5. Let j be a(0). Suppose -3*o - 4 - 8 = 0. Put o, h, j in descending order.\nAnswer: h, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0612761 to two decimal places.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**4\/4 - 3*s**3 + 7*s**2\/2 + 12*s + 2. Suppose -u = 1 - 10. What is the units digit of d(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 383, 737?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 12.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-25)\/(-10) + -2)*(2 + 4). Suppose -2 = -12*k + 10*k, 42803 = -5*b + f*k. What is b rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 154*(3 - (3 + (2 - 3))). Let x = 305 - z. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321401447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f = -27*f + 52. Calculate the remainder when f is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -367.9 + 87902\nAnswer: 87534.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8*v - 16. Suppose -4*u = -4*w + 68, 2*w - 72 = -w - v*u. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13281.\nAnswer: 3, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7 = -2, 2*r + t = 11. Solve 4*n - 13 = r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 136489, 1091740, 3684569, 8733766, 17058121, 29476424, 46807465?\n\"Answer: 136465*f**3 - f**2 - f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1102*g**2 - 370*g + 3051. What are the prime factors of j(8)?\nAnswer: 70619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/153 and 7\/24?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 5*v + 3. Let x(n) = -2. Calculate h(c) + 4*x(c).\nAnswer: c**3 - 5*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -4*w + 2*o, 5*o = w + 5. What is the derivative of -98*a**2 + w + 2 + 117*a**2 wrt a?\nAnswer: 38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40146169?\nAnswer: 7, 71, 80777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2\/9 (c) 5 (d) 0.355\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001432 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppzp when four letters picked without replacement from {z: 4, p: 6}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/81 - -206\/891. Which is the second smallest value? (a) j (b) 4 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d**(1\/6)*d))\/d)\/d**(-2\/11))\/(d**(-20)*d**0*d))**16 assuming d is positive.\nAnswer: d**(9512\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001113504 rounded to 6 dps?\nAnswer: 0.001114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 322*c**2 - 3501 + 365*c**2 + 3500 - c**3 in the form m*c**3 + f*c + w*c**2 + s and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*v**5 + 19191*v**4 - v**3 - 493*v**2 + 519*v wrt v.\nAnswer: 1080*v**2 + 460584*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23221792 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + v + 7*v**2 - 3*v**2 - 1. Let k be h(1). Suppose 0 = k*g - 7*g - 88800000. Round g to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-35)*(-21)\/6. Suppose -4*h = -n - 3*n - 2272, -r*h = 2*n - 1116. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 - 45. Is 29 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2081 = -439. Let y(w) = 1260*w - 2*w**2 - f*w. Let a(n) = -7*n**2. Determine y(a(s)).\nAnswer: -98*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 122188, 122187, 122186, 122185, 122184, 122183?\n\"Answer: -z + 122189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9709 + -9704. Solve 13*r - 10*r = 4*w - m, -3*w - 4*r + 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + 0*a - 4*a)*(-10 + 3 - 7) + (4 - 3 - 2)*(-a + 0 + 0) + 3*a - 5*a + 4*a in the form o*a + w and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:30 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-8)\/(-12)) - 1. Let c = -7 - n. Sort c, -1, 3 in increasing order.\nAnswer: c, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kok when three letters picked without replacement from {k: 4, m: 2, o: 8}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2809 - -85.78?\nAnswer: -2723.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -63. Let t = -32 + r. Calculate the smallest common multiple of 21 and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26162300 by 13081150.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 2\/7 (c) -304 (d) -613\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-6) - (-2)\/(-6). Suppose 16 = -m - 2*m - 5*w, -5*w - 19 = 2*m. Suppose -l - m*l = 4. Is p bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 o when four letters picked without replacement from {o: 2, w: 2, d: 2, v: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -5*l - 32. Let t be l\/10*(-4)\/(-6). Which is the second smallest value? (a) t (b) -0.1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 19*d + 25. Let w = -30 - -9. Let p be l(w). Suppose p = 3*o + 3*b + 7, 100 = 5*o - 2*b. Calculate the least common multiple of 18 and o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 4, 1\/5, 0, 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19211 is divided by 2399?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 9:17 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + t + 0*t + 0*t + 0*t + t - 2*t + t + 3*t + (-t + 5*t - 3*t)*(4 - 5 + 3) + 3 - 3 - t - 4*t + 6*t + 3*t in the form x + p*t and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 15, d: 4}. What is prob of picking 3 d and 1 f?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g. Let r(d) be the third derivative of 0 + 0*d**3 + 0*d - 35\/24*d**4 + 12*d**2. Determine q(r(b)).\nAnswer: 70*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 27*g - 18. Let s be x(14). Suppose -4*p + 3*w - 11 = 10, 3*p - w + 12 = 0. Sort 0, s, p.\nAnswer: s, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45020 times 0.03?\nAnswer: 1350.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337950?\nAnswer: 2, 3, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 1073d?\nAnswer: -10740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -51*j**3 + 34*j**2 + 2*j + 1. Let k(x) = -713*x**3 + 482*x**2 + 29*x + 14. Give 2*k(t) - 29*m(t).\nAnswer: 53*t**3 - 22*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-9))\/((-2)\/6). Let o be 36 + -1 - 2\/(-2). Suppose w*g = 4*b + 18, -b - 4*b = 2*g - o. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 616765, 1233506, 1850247?\nAnswer: 2466988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Suppose -w*x + 5*g - 17 + 3 = 0, 2*x + 18 = -3*g. Let z be x\/(-8) - (-65)\/20. Solve 2*c = p - 4*p + 13, -p = -z*c + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -4*p + 243. Let f be 570\/p + 1 + -5. Is -1 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 10:26 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -736, -763, -824, -931, -1096, -1331?\nAnswer: -1648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 - 84. Let p(r) = 7*r**2 + r**3 + 4*r - 2*r**3 + 0 + 7. Calculate the remainder when p(7) is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5866 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(77) + ((sqrt(77) + 2*sqrt(77) - sqrt(77))*-4 - sqrt(77) - sqrt(77)))\/((sqrt(132) + -3*sqrt(132))\/sqrt(12))*-6.\nAnswer: -162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10884\/2721*(-1)\/((-2)\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-42)*3\/(-2). Let t = 3\/5 + -23\/30. Sort y, 3\/4, t in increasing order.\nAnswer: y, t, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - 3*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3250, 5383, 7516, 9649, 11782, 13915?\nAnswer: 16048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let g be 15\/10 - (-1)\/2. Let f(v) = 9*v**g + 2 - 2 + 10*v**2. Determine w(f(s)).\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74\/45 - 4\/9. Factor 0 - i*t**2 + 2\/5*t**3 + 4\/5*t.\nAnswer: 2*t*(t - 2)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*a + 308 = 133*a. Let q(n) = -4*n - 4. Calculate the remainder when a is divided by q(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 707793\/44 - 16088. Calculate the common denominator of y and -59\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -3)\/(3\/36). Suppose 3*j = f + 12. Suppose j + 1 = 3*g. Solve g + 0 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -2*u**3 - 89*u**2\/2 + 5365*u - 4094. Differentiate c(v) with respect to v.\nAnswer: -12*v - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.02. Let m = 0.08 + j. Which is the nearest to 0.3? (a) -2 (b) m (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1243770, -1245340, -1247958, -1251624, -1256338?\nAnswer: -1262100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6112678 divided by -737.\nAnswer: 8294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 48 (c) 5 (d) 2\/15 (e) 2 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {a: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 12:45 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333 - -1424342?\nAnswer: 1424004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 0*r**2 + 0*r**2)*(r + 2*r - 5*r) + r**3 + 3*r**3 - 3*r**3 - r**3 + 211014*r**2 - 210314*r**2 - 8*r**3.\nAnswer: -10*r**3 + 700*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 5*l**2 - 3*l + 2. Let o be m(-6). Let u = o - -15. Let j(a) = 2*a**3 - 2*a**2 + a. Let v be j(1). Is u equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -1\/7, -0.1, 3\/10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-46))\/(53\/(-1219)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5572.\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -4866667*q**6\/40 - q**5\/30 + q**3\/6 - 12*q**2. Let x be n(-1). Round x to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 2:12 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 2*o, -2*o - 11 = -4*h - 51. Let c(v) be the first derivative of -v**4\/4 + 10*v**3\/3 + 6*v + 2. Is c(o) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1808 - -2649. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**5\/60 + r**2. Let v = 8 - -9. Let p(u) = -u**2 - v + 17. Give s(p(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -4*h. Let j = -31\/10 + -217\/30. Let l = -164\/15 - j. Put h, l, 0.1 in descending order.\nAnswer: h, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/7 + (-14148)\/(-42)?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 n, 1 c, and 1 q when four letters picked without replacement from nnewqgececqnc.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -401.5 - -402. What is the smallest value in o, 2\/9, 30?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*k**4 + 4*k - 3*k + 2*k**4 + (3*k**2 - 6*k**2 + k**2)*(-19*k + 19*k + 7*k**2).\nAnswer: -k**4 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 57 = -s - 20, -s - w + 36 = 0. Suppose s + 85 = 5*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 + 40*b**3 - 115*b**2 + 140*b - 60.\nAnswer: -5*(b - 3)*(b - 2)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-356814)\/(-14) - 3365\/4711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 168 = -12*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 349 and 0.3002.\nAnswer: 104.7698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 8*q**2 + 8*q - 5. Let b be w(7). Let h = -10 + 11. Let o be 0*h*(-2)\/b. Solve -d - u - 3*u + 10 = 0, 2*u - 4 = o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656 = -58*l - 76. Solve -3*u - 21 = -l*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-5)\/(-8)*4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -93. Let s = v - -58.99999983. Round s to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = s + 4 - 1, 2*b = 5*s + 6. Suppose 0 = c - 1 - b. Solve -13 = -2*t + f, 3*t + f - c - 8 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20329\/1338 - 6\/223. Let l = 11\/13716 - 194753\/208634076. Let p = -1019153\/121688 - l. Calculate the common denominator of x and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*t - 416 = -945 - 1217 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10*d - d**3 - 2*d**3 + 3 + 11*d**2 - d**3 + 3*d**3. Let w be m(10). Let k(o) = 7*o - w*o - o. Let h(a) = -6*a. Determine h(k(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/36*672\/2520?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 150704 divided by -1913?\nAnswer: -150704\/1913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/4746770 and 117\/490?\nAnswer: 33227390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-110) - (-6)\/(-33)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/6)\/(1\/2). Suppose -5*w = -a + 6. Let q(z) = -3*z - 8. Let o be q(-3). Which is bigger: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4469819604?\nAnswer: 2, 3, 372484967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.259 times -0.9\nAnswer: 0.2331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, i: 2, c: 10}. What is prob of sequence civv?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513, -1053, -1925, -3135, -4689, -6593, -8853, -11475?\nAnswer: -14465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3293 rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 53304*v + 319883. Calculate d(-6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 18*n**2 + 2*n - 30. Let r be y(18). Let f be 1\/3*r*6. Suppose -f = -c - l, -5 = -4*l - 21. What is the remainder when 221 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 7*g**2 - 10*g - 12. Let c be b(-8). What is the common denominator of (15\/280)\/(c\/(-14)) and -173\/42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8876, -19605, -30338, -41075, -51816, -62561?\nAnswer: -73310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 10. Suppose i*m = 5*r + 74 - 6, 0 = -5*m - 3*r + 201. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3*d + 6 + 2*d + 2 - 2 + (-d - 2*d + 2*d)*(3 - 2 - 3) - 4 + 4 - d - 3*d + 3*d - 2*d - 2*d + 3*d - 3*d)*(1504*d**4 + 3875*d - 3875*d).\nAnswer: -6016*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*-14*24\/(-2240))\/(1\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = -5*n + 3*l + 173, n + 5*l - 6 = 0. Let k = -9.84 + 10. What is the nearest to n in 7, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33552 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 + 5*w**2 - 2*w**2)*(-3277*w + 3247*w + 6 - 2) as y*w + l*w**2 + v + j*w**3 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377626783.\nAnswer: 61, 739, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00414711679 rounded to six dps?\nAnswer: 0.004147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695*h = -1058*h - 9075 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let y(w) = 9*w + 2. Let l(h) = -28*h - 7. Let a(s) = -2*l(s) - 7*y(s). Give a(f(p)).\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 + 38*d.\nAnswer: -d*(d - 76)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.026 - -0.204. Let o = g - 0.2369. Round o to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 1*522\/24 + (-3)\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.67 + -141.33. Let i = 139 + g. Suppose -3*k = -k - 6, 2*k - 8 = 2*n. Which is the nearest to 2? (a) n (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*28214683.\nAnswer: 2821468.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513462 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -11797*b**3 + 1 - 62203*b**3 - 2 + b**2. Let t be f(-1). What is t rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22100 - 22095. What is the third smallest value in -149, 0, -2, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 7 = 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-5))\/(-1 - -1 - 2). Do l and -1\/171 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 30, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 8*z - 8. Let v(n) = n**3 - 3*n**2 - n - 22. Calculate the remainder when v(5) is divided by m(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33425, 66926, 100427?\n\"Answer: 33501*i - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/120 - c**5\/12 - c**3\/6 - 2*c**2. Let x be f(-5). Let q = -418\/3 + 138. Is q > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + 856\/13. Which is the closest to -1\/3? (a) 3\/2 (b) n (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/231653829 and 17\/8.\nAnswer: 1853230632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 11*t**2 - 41*t + 13. Calculate o(-8).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 10530723, 5, 0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 69\/(-2) - 21\/42. Suppose a - 28 = 2*v. Solve -2*k + 3*i = -0*i - 3, -k + v*i = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22*(-3)\/(-114)*19\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*j - 5 = 1, -18 = 4*v - 2*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20225.419 + 20195. Let i = -28.41 - l. Let c = i - 2. Round c to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -46*b + 2. Let c be i(1). Let l be 4\/7 + c\/77. What is the tens digit of l - 4\/((-4)\/37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**3 + 343619836*l**2 + 7379662152601596*l + 7379661808981764 = 0.\nAnswer: -42952479, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514.304l in millilitres?\nAnswer: 2514304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-12)\/(-4))*3. Suppose -3*l - 51 = -2*b, g*b - 79 = 5*l - 3. Calculate the greatest common factor of 27 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -10 = 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, 2\/43, 1\/237?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12003 and 7377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -12. Let g = -20 + q. Let l = -4.9944 - g. What is l rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - -1. Let l = x + -7. Let r = l - 7.006. What is r rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-5) + 4\/10. Solve 5*h - i = -29, 20 = -2*h + 4*i - l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1823*w + 15264 + 43072 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*o + 5*f, 4*o + 4*f = -0*f + 4. Suppose -10 = -3*z + o*z. Let u be ((-2 - 3)\/z)\/(-1). Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54696, -54893, -55428, -56469, -58184, -60741?\n\"Answer: -28*i**3 - i**2 + 2*i - 54669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 6*o**2 - 8*o + 7. Let z = -33 - -59. Suppose 0*j + 3*p + 23 = 2*j, 5*j = -3*p + z. Determine c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2702443\/336270 + -1\/6114. Let d = p - 84\/11. Let m = 1.3 + -0.9. Which is the closest to d? (a) 5 (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 55*a + 7. Let j be h(-1). Put j, 0, -4, -5 in ascending order.\nAnswer: j, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k + 251. Let o(j) = -8*j + 253. Let p(b) = 6*f(b) - 7*o(b). What is the remainder when 81 is divided by p(36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16346 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: What is the product of -64030948 and -0.01?\nAnswer: 640309.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 - 4*h**2 + h - 996. Let d(i) = i**2 + 1. Let g(u) = -c(u) - 3*d(u). Is g(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.42 - -17.58. Let k = -19 + q. Let s be -2 + ((-16)\/(-42))\/(24\/112). What is the biggest value in -2\/15, k, s?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 14 = 2*v - 3*j, 0 = v + 3*j + 1. Suppose -r + 2*r - 3 = -w, r + 3*w = 3. Suppose a + a - 10 = r*k, v*a - 3 = 2*k. Are 1\/6 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*n - 3 = -17, -5*t - 5*n - 5 = 0. Suppose -7*b - 27 = -t*b + 3*v, 5*b + v + 20 = 0. What is the nearest to -0.2 in -1\/2, -1, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c + 5*h - 44, 5*h = c + 12. Let z = c + 3. Suppose -376 - z = -3*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 11, e: 2}. What is prob of sequence be?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.011 - -4.389. Let z = 22.4 - r. Let p = 17.6 - z. Which is the biggest value? (a) p (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66633 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24354 and 2376.\nAnswer: 97416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23705\/34 or -696?\nAnswer: -23705\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26807 or 26805?\nAnswer: 26807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-2)*(-17)\/((-1632)\/(-36)). Which is the nearest to i? (a) -2\/3 (b) 0.2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2309974, 4619953, 6929932, 9239911, 11549890?\n\"Answer: 2309979*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -176 - -489. Let q = v - 260. Calculate the greatest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x - 5, -5*q + x = -65. Does 10 divide (-2436)\/(-24)*q\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z - 33. Suppose -2*s + 5*g = 33, -4*g - z = 3*s + 4. Let c be s\/((-1)\/1) - 3. Solve -2*j - 3*h + 6 = 0, -j - 5*h + 2*h + c = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3 - 5 + 12*p + 3 + 3. Let u be m(2). Solve 4*n + 3 - 6 = -z, 4*z + u = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1167 - -1162. What is the second smallest value in 0, t, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*f + 5*f. Suppose 5*s + f*s = 3339. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/15950? (a) 1\/2 (b) 5 (c) -4 (d) -1 (e) 32 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-2 - (-6 - 0))) + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 104, -11\/9, -2\/21?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + g + 3. Let l(f) = -2177*f**2 + f - 11. Let m(h) = 4*i(h) + l(h). Find the second derivative of m(v) wrt v.\nAnswer: -4362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j. Let v(u) be the first derivative of u**3\/3 + 13. Give v(b(d)).\nAnswer: 81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1011*q**2 - 7*q + 1. Let w(k) = -2*k. Determine o(w(t)).\nAnswer: 4044*t**2 + 14*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -y - 36, -3*f + 384 = 5*y + 598. Put 2, y, -1, -4 in ascending order.\nAnswer: y, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - 41*b**2 - 11*b - 86. Let s(m) = m**3 + 20*m**2 + 3*m + 44. Let y(c) = 4*i(c) + 7*s(c). What is y(-23)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2 = -2*m + 5, -5*m = -4*b - 16. Let s = 0.1 - 0.3. Sort -5, b, s in descending order.\nAnswer: b, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - -6.12. What is the closest to 0 in r, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 26 = 5*v + 4*y, -139 = 3*v - 4*y - 145 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y**3 + 4*y**3 - 5*y**3 + (99*y + 40*y**2 - 99*y)*(2 - 2 - 2*y) - 9*y**3 + 11*y**3 - 23*y + 0*y as b*y + z + i*y**2 + v*y**3 and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -9. Suppose u = n - 7, 4*n + g*u + 7 = 75. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 38 = 18. Let v(w) be the first derivative of 3\/4*w**4 + 4*w + 0*w**2 - k - 7\/3*w**3. Factor v(j).\nAnswer: (j - 2)*(j - 1)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-9 + 12\/16*8). Sort q, 3, -1, 264 in decreasing order.\nAnswer: 264, 3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-72))\/(3\/9).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*v = -122973, -35106 = -27*f + 25*f - 4*v. Calculate the remainder when f is divided by 144.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117462 or -117464?\nAnswer: -117462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)*s**(-4))**(2\/27) assuming s is positive.\nAnswer: s**(-26\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/7 + 10*i\/7 - 48\/7 = 0. What is i?\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(27)\/sqrt(3)*3) + (sqrt(17) - (sqrt(2448) + -1 + sqrt(2448))**2) + (sqrt(17) - (2 + (sqrt(17) - (sqrt(17) + 0 + sqrt(17))**2))).\nAnswer: -9727 + 148*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-2 - -3)\/1). Suppose 2*p - 3*o - 40 = x, 2*p + 0*p + 5*o = 56. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 42 (b) 0.2 (c) -1\/4 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1820504 divided by -8\nAnswer: -227563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10 = 0, -4*p + 124 = 5*d - 191. List the prime factors of d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from ppssww?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 51 = -18*d. Let q(s) = 76 - s**2 - 4*s**2 - 72 + 4*s - s**d. Give q(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, 4, 7\/23?\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6 + 67*p**2 - 13*p**2 + 0 - 1 as t + b*p**2 + l*p and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 12*l + 5. Let v(i) = 6*i - 2. Let d(c) = -2*q(c) - 5*v(c). Find the second derivative of d(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8243, -33043, -74367, -132197, -206515, -297303, -404543?\nAnswer: -528217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -2\/3*m**6 + 0*m**4 + 2*m**2 + 8\/3*m**3 - 8\/5*m**5 + 1 + 0*m. Find f such that t(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -59088429 and 0.9.\nAnswer: -59088428.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - a + a)*(-2*a + 1 - 1) + ((6 + 1 - 5)*(0 - 2*a + 0) - 6*a + 4*a - a)*(17*a + 30*a + 5*a).\nAnswer: -362*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 9*y + 24. Let n(t) = t**2 - 4*t + 6. What is the remainder when n(y) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44 + 15 + 4 + 6821*o**5 + 25 + (2*o**5 + o**5 - 5*o**5)*(-9 - 8 + 2).\nAnswer: 6851*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1979 divide 190963335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/1)\/(-140 - -142).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169345 divided by -55?\nAnswer: 3079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + l - 2 + 5*l**4 + 21 + 12*l**2 - 9*l**2 - l**3 - 6 to r*l**3 + h*l**2 + v*l + w*l**4 + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o = -3*j + 15, -35*o + 48*o - 14*o = -3*j + 57 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/32 - (-47121825)\/920.\nAnswer: 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 + 228*d - 1264. Determine g(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 34, 216, 4\/7?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 3:59 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {m: 2, t: 2, g: 2, y: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482418 is divided by 8614.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 47. Let t(s) = -s**2 + 11*s - 2. What is the smallest common multiple of l and t(8)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 16*a = 0. What is the nearest to -1\/2 in a, -5, 0.4, -14?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1357*a**2 + 14*a + 5341. Let i(o) = 4071*o**2 - 49*o - 16029. Let c(b) = -2*i(b) - 7*m(b). What is the first derivative of c(q) wrt q?\nAnswer: 2714*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-285)*(-12)\/2*-1\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*z - 9, 6 - 1 = 5*z - 5*n. Suppose 0*r - 3*i = -2*r + 28, z*i = r - 17. What is the remainder when r is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - n - 293 = 0, -n - 4*n = -3*p - 871. Let u = p - -424. Suppose 5*o - u = o. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 + -287. What is the common denominator of -37\/2 and (16\/(-24))\/(304\/g)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 30*u**2 + 30*u - 25. Let x be o(29). Suppose 0 = -s - 0*s + 9. Let n = 6 - s. Which is the smallest value? (a) x (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4*-6*-2. Let c = -3 + y. Let v(d) = -d**3 - 7*d**2 - 8*d - 2. Let t be v(c). What is the highest common factor of 110 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 8, -2, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5*a = 10, 0 = -4*g - 3*a + 76 - 82 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(-205)*10*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 9*s + 8. Let h be m(-8). Let g be h + (-2 - 15\/(-3)). Suppose 0 = -3*d + 15 - g. Solve -3*w - d = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + 1.6. Let z be (-3)\/1*-1 + 12. Let b be 5\/4*3\/z. What is the third biggest value in x, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, b: 1, d: 4, i: 1}. What is prob of picking 2 d and 1 o?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 2. Suppose 0 = 5*b - 3*q - l + 4, 4*q = 2*b - 4. Suppose -14 = -b*w + m, -m + 2 = 2*w + m. Solve p - w*p + 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/(-162))\/((-65)\/52))\/((-2)\/12)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36466 is divided by 36465.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 8*g - 12. Suppose -3*v = 3*h - 12, 4*h + 4*v = 2*h + 6. Let z be b(h). Let t be 16\/24 + (-8)\/3. Sort -14, z, t.\nAnswer: -14, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 - -0.6. Let z be 1\/((4 - (7 - 2))\/(-18)). Let y be 2*(-45)\/z - (-32)\/7. What is the second smallest value in y, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -0.05, -1, -2\/149, 0.1.\nAnswer: -1, -0.09, -0.05, -2\/149, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1450, 70, -5, -2 in ascending order.\nAnswer: -5, -2, 70, 1450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + -22.5. Round b to 0 decimal places.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182060120 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**6\/24 + l**4\/6 + 2*l**2 - 5. Let s(b) be the second derivative of d(b). Find the second derivative of s(v) wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/6094 - -82231\/231572. What is the common denominator of o and -53\/32?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 34 = -2*b, -12*r - 150 = -5*b + 45*r for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -10, -2, 24, 0 in ascending order.\nAnswer: -10, -2, 0, 19, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-288)\/(-4) + -2 + 4. Let i(k) = 4*k + 63. Let u be i(-15). Suppose d - u*r - f = 0, 3*d = -2*r - r + 270. What are the prime factors of d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 - -167. Suppose 97*i + 103*i = 47*i + 16218. What is the remainder when i is divided by w?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15631, 31191, 46751, 62311, 77871?\n\"Answer: 15560*b + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 67*c + 70*c, 4*i - 3*c = 2*c. Solve -3*z + 5*s = z - 32, i = -5*s - 20 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 84 = 5*z. Let m = 25 - z. Solve s - 22 + 6 = 5*j, 0 = m*s + 5*j + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1470)\/sqrt(10).\nAnswer: 5 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*w - 1043*g + 2085*g = w + 1043*g + 29, 0 = -17*g - 697 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 469 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10142*n**3 + 13*n + 4*n**2 + 5075*n**3 + 5066*n**3 + 12. What is i(7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -94*z**2 - 240*z + 23653 wrt z?\nAnswer: -188*z - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/344069 - 10662635\/602808888. Find the common denominator of -97\/876 and p.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320660982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Suppose 0 = -g - 1, -2*r + 3 = -2*g - g. Suppose r = -w + l + 1. Solve 4 + 6 = -w*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 0. Let t = u + -4. Let k = 0.1 - 0.2. Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*z**2 + 910*z + 845 = 0. What is z?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 71. Let a be (-6)\/(-5*s - (-140)\/40). Solve -v = 2 - a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347425200 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 162, 308, 438, 546, 626, 672, 678, 638?\n\"Answer: -a**3 - 2*a**2 + 159*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 48 = 4*j. Suppose 0*h - 2*h + j = 0. Suppose -5*m - 7 + 43 = 3*u, -4*m = u - h. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2. Let y(x) = -5756*x. Give d(y(t)).\nAnswer: -66263072*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1906*m*q - 5188*m wrt q.\nAnswer: -1906*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 8:38 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6) - 174\/(-612)*1.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6. Let f = -2 - d. Suppose -2*z + 3*z = 1. What is the biggest value in -4, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 10. Suppose -6*h + k = -h. Solve 3*d + h + 1 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5. Let k(p) = p**2 - p + 6. Let w be k(g). Suppose 2*r - 30 = -w. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -13\/10, 2\/5, 94, 19, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3)*(-2 - -8). Let b = 155 - -190. Suppose d*z + 133 - b = 0. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l - 5*o - 27 = 0, o = -l + 45. Calculate the lowest common multiple of 6 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 1:54 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/44 - (-105)\/(-33). Let t be -1 - 2*-1 - -3. Let j = z + t. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 40 (b) -0.069 (c) -1 (d) -2\/21 (e) 3\/2 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -1\/3, 0.6, -2 in decreasing order.\nAnswer: 0.6, 6\/11, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 96.21183kg?\nAnswer: 96211.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 - 44. Is 44 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 10*d**2 + 8*d + 8. Suppose -2 = -y + 4*s - 6*s, -4*y + 4*s = 40. Is a(y) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/57497 and 39\/110.\nAnswer: 574970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 = -3*r + 3*b - 55, 0 = -3*r + 4*b + 243. Suppose f = 31 + 20. Suppose 6*y - f = 3*y. Calculate the highest common divisor of r and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11113505, -22227010, -33340515?\n\"Answer: -11113505*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376 = 3*b - 4*r - 388, 4*b = r - 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 989, 2340, 4143, 6482, 9441?\nAnswer: 13104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 28 = -2*m, 0 = -2*w - m - m. Let b(g) be the first derivative of g**2\/2 + 5*g + 1. Let p be b(-5). Sort w, p, 3 in decreasing order.\nAnswer: 3, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 9*k**2 - 14*k - 16. Let m = -50 - -83. Suppose -10*i + 13*i = m. Is d(i) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10236467 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4419 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14677 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 21*s**2 + 352*s + 6559. Give p(-25).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(600) - sqrt(600)*-1)*-2)\/(sqrt(1452)*-1 - 4*sqrt(36)\/sqrt(3)) + 3.\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 4*s + 6. What is a(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 3) to base 6\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 32749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18362434 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = v + 9*o - 3, -10*v = 2*o - 14. Put v, -4, -39, 5, 4 in decreasing order.\nAnswer: 5, 4, v, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.313 (b) 13 (c) 1\/6 (d) 2\/9 (e) -19 (f) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*m - 378 + 3267 = -377 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 50540734\nAnswer: -3\/50540734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 2) + (-244 - -245).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(9)\/sqrt(3))**2*1*-1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7772011 centuries?\nAnswer: 7.772011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 129? (a) -38 (b) 59 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:59 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, 1.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Express -294*v + 2*v**2 + 314*v - v**2 + 5*v**3 + v**2 in the form c*v**2 + w*v + m*v**3 + t and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(3\/(10 + -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -37.1. Which is smaller: r or 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 + 26 = 4*r + 9*m - 52, -3*r = 2*m + 93 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -116522, -116521, -116520, -116519, -116518?\n\"Answer: b - 116523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15752, -31500, -47248, -62996, -78744, -94492?\nAnswer: -110240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(85)*3 + (4*-3*sqrt(85) - sqrt(85)))\/(sqrt(245)*4 + (sqrt(20)*-1 - sqrt(20))).\nAnswer: -25*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/313949 and -34\/2489.\nAnswer: 781419061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - 2*j + (-1 - j + 1)*(2 - 3 - 1) + 2*j + 2 - 2 + 5*j + 4 - 4)*(j**4 + 3*j - 22*j**2 - 2*j**4 + 21*j**2).\nAnswer: -10*j**5 - 10*j**3 + 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*v**5 - 10*v**4 - 2*v**3 - 3*v**2 - 179*v + 8.\nAnswer: 5040*v**2 - 240*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + a + 165 = 0, -5*s + 3*a + 22 - 207 = 0. Let x = s + 44. Solve -3*u - 2*g = 16, 34 = -x*u - 4*g + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000243 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1438 + -1439. Let c = 475\/6 + -79. What is the biggest value in s, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2\/4 + 26277*l + 262695 = 0.\nAnswer: -35026, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291*a**6*s + 3*a**5*s**2 + 3238*a**2*s**2 wrt a?\nAnswer: 34920*a**3*s + 180*a**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24034 - 124?\nAnswer: 23410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 14 + 22 + (-4 - (18 - 45)) + -3\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1093909 or 1094236?\nAnswer: 1094236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {k: 1, n: 1, w: 2, p: 3, o: 7, j: 3}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 - 34*w**2\/3 - 932*w\/3 - 896\/3.\nAnswer: 2*(w - 32)*(w + 1)*(w + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**3 + 24*i**2 + 27*i = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 5359319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-18)*2079\/(-1). Is z\/(-4) - (2 + -3)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 18*i**2 + i + 2. What are the prime factors of v(2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19 (b) -7 (c) -14\/13463\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 + 49 + 82)*(4 + 0 - 2)*(-2*t - t + t).\nAnswer: -968*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/52*9\/(990\/88).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1068 minus -9591396.606?\nAnswer: 9590328.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 15 - 49*t**2 - 3 - 15.\nAnswer: -49*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, c: 4, o: 3}. What is prob of sequence cvc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:58 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4205240 and 44\/5.\nAnswer: 4205240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(sqrt(6)*-3))\/(sqrt(3) - sqrt(735)\/sqrt(5)).\nAnswer: sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (244*g + 897*g + 18182*g + 7961*g)*((-1 - 2 + 1)*(4*g - 2*g + 0*g) + 2*g + 0 + 0).\nAnswer: -54568*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*b + 139 = 0, -5*b = a - 3*b - 25. Suppose -8*s + a = -7*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from uudujuudjduuuuuuu?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -1587*u**2\/2 - 8535576*u - 22954019424 = 0?\nAnswer: -123704\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78728348, 78728338, 78728316, 78728276, 78728212, 78728118?\nAnswer: 78727988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*o - 2*x, -4 = -o - 5*x - 26. Let b(d) = -2*d**2 + 2*d**3 + 2*d - 3 - 4*d**o + 3*d**3 - 2*d**2. What is the units digit of b(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 120, 199, 216, 141, -56, -405, -936, -1679?\n\"Answer: -5*x**3 - x**2 + 117*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 0 + (-1)\/1 - (-29822 - -374)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + q - 14. Let u be x(-6). Let j be (-6)\/(36\/(-6)) + u\/(-14). What is the closest to -1 in -6\/11, j, 5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 955, 1902, 2837, 3754, 4647, 5510, 6337, 7122?\nAnswer: 7859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q**4 + 162*q**3\/5 - 4*q**2\/5 - 72*q\/5 - 16\/5 = 0.\nAnswer: -2\/5, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 2. Let x = 32 + -19. Suppose 15 = 4*s - x. What is t(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1056743 to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-3\/4)*(q*q**(2\/9))\/q)\/(q**5\/q*q)**27)**(-29) assuming q is positive.\nAnswer: q**(138881\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60949.\nAnswer: 7, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 192*v + 31239.\nAnswer: (v + 234)*(v + 534)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2275062 to the nearest integer?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 2. Let d = 41 - 42. Let n be a(d). Solve 0 = 3*p + 11 + n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 752, 1334, 2912, 5984, 11048, 18602, 29144, 43172?\n\"Answer: 83*x**3 + x + 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyyyyyyyjj?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13970 and 12700.\nAnswer: 139700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - n = -5*r + 8, 0 = -3*r - 2*n + 17. Let x = -107\/15 - -31\/3. Calculate the common denominator of x and (-4)\/r*(-20)\/25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 18. Sort -3, 7, u in increasing order.\nAnswer: u, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2593 - 2589. What is the third biggest value in -0.2, 141, 0.1, -4\/9, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17189.\nAnswer: 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(3\/(-2)*16\/24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.797289 rounded to 3 decimal places?\nAnswer: 0.797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110018933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 - 3*v - 1. Let k(f) = 11*f**2 - 8*f - 2. Determine 3*k(d) - 8*s(d).\nAnswer: d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1252543432 * -5\nAnswer: 6262717160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 23 = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -5. Suppose r = 5*h - h - 100. Suppose 4*d - 5 = -0*p + p, 5*p = d - 25. Solve 3*w - 8*w + h = d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 325934 and 1302?\nAnswer: 977802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 1. Let b(k) = -152*k**3 + 4*k**2 + 2*k - 5. Determine b(z) - 5*m(z).\nAnswer: -152*z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 10 - 5 = 0, 5*u + 30 = 5*r. Let k be (33\/55)\/u + 269499\/(-5). What is k rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/13 + 47436\/78. Suppose -5*x + 3*x = -w. Suppose -4*n = -4*s - x, 3*n - 2*n = -4*s + 61. List the prime factors of n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 61509a765 + 2?\nAnswer: 61509a767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 37*u + 4. Let h(d) = 21*d + 2. Let l(o) = -7*h(o) + 4*t(o). Give l(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 4 - 2 - 13 + k. What is the remainder when 46 is divided by v(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6805.44 months?\nAnswer: 56.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 252\/11, 4\/177, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3)*(-1 - 2). Suppose 3*p + 12 = -3*s + 2*s, 8 = -d*p - s. Suppose 3*l = 3*m - 4 - 8, 12 = -3*l - 4*m. Is l at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -89, -153, -8.\nAnswer: -153, -89, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1933686?\nAnswer: 2, 3, 35809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 104813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2 - 17. Let l(d) = 2*d. Determine x(l(j)).\nAnswer: -16*j**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321854, 321962, 322070, 322178, 322286?\nAnswer: 322394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 35 = -11. Is 17 a factor of (-53)\/(-3) + a\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774359933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 771\/5 or 154?\nAnswer: 771\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 5*p - 4*p)*(3 + 0 - 4 + (3 + 0 - 2)*(3 - 2 - 3) + 2 + 3 - 4).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8543 is divided by 2676?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-161)\/3*(15 + -4). Let s = k + 598. Calculate the common denominator of 38 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 5*l - 8. What is v(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*v - 28*v - 78*v.\nAnswer: 75*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3\/5)*i**(-2\/7)*(i*i**0*i)\/i**(3\/2))\/(i*i**9*i**(-2\/5)*i**(-2\/11)\/(i\/i**(-3)*i)) assuming i is positive.\nAnswer: i**(-2929\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1866 in 0.2, -2, -6, 0.01, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -3, 0.02, -4.1, -108?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 71\/3 - (14\/(-6) + 2). Let w be -5*v\/100*10\/(-4). Solve -5*j - w*z - z - 13 = 0, 9 = 3*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1*(3\/2)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61585\/12 - -5129. Let j = -10402 - -582447\/56. What is the common denominator of r and j?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, 8, -5, 5, 2.7, -37113.\nAnswer: -37113, -5, 0, 0.5, 2.7, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 140*m**2 + 1628*m + 6292.\nAnswer: 4*(m + 11)**2*(m + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.114 and -0.1851.\nAnswer: -0.0211014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p*(((p**(-1)*p)\/p)\/p*p)\/p)))**(-7\/6)*(p*p*(p\/((p**0*p)\/p))\/p)**(-50))**(-27\/2))**(3\/46) assuming p is positive.\nAnswer: p**(16011\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -14*j - 65 + 60. Let l(a) = -3*a + 8. Determine l(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 4:38 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -17. Calculate the least common multiple of 136\/64 + (-1)\/8 and -2 + 7 + (o - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*o - 2656 + 2714, -r + 3*o + 70 = 0. Let i(l) = l**3 + 6*l**2 + 5*l + 1. Let b be i(-5). What is the greatest common divisor of r and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1794*g**2 + 1582*g. Let u(m) = -3589*m**2 + 3169*m. Let p(d) = 5*l(d) - 3*u(d). Find the second derivative of p(q) wrt q.\nAnswer: 3594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 17. Let v be i(10). What is the second biggest value in -3, 1\/5, v, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 + 12*r + 4. Let s(x) = -12*x**2 + 54*x + 18. Let t(q) = 9*b(q) - 2*s(q). Let n(i) = 31*i**2. What is n(t(m))?\nAnswer: 279*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 23*b - 11*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30933 and 51597.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11)\/((l**3*l)\/l))\/(l**(1\/3)\/l**(-2\/21)) assuming l is positive.\nAnswer: l**(-101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v. Let b(c) = -35 + 43*c - 2*c + 34. Determine b(w(g)).\nAnswer: 123*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1769 times -0.1995\nAnswer: -352.9155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 141680760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/9)*a*(a*a*a*a*a\/(a**(-1\/4)\/a)*a*a)\/a)\/(a**(-1))**(-20) assuming a is positive.\nAnswer: a**(-383\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3.599, 1, 0.586?\nAnswer: 0.586","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-15)*(-200)\/(-120)*6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 615533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**4\/4 + 7*z**3\/3 + 5*z**2\/2 - 2*z + 3. Is o(-5) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226\/275 - 16\/25. Let f = 0 - 0. Which is bigger: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 less than or equal to 535\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 11*g**6\/2 - g**3\/3 - g + 15. What is the third derivative of f(r) wrt r?\nAnswer: 1980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -11*p**4\/24 + 13*p**2. Let j(s) = -3*s**2. Calculate f(j(y)).\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026584 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6, 4, 6 in increasing order.\nAnswer: -1.6, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) - (-34)\/6. Suppose -5*k + v = 0, t + k + 3 = -3*t. Let j be -1*t*(-3)\/(-3). Solve 3*p + 3 = 3*l + 2*l, j = -2*l - p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1290 - 1284 - 7*y + 2571. Calculate m(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and -0.3278521.\nAnswer: -0.39342252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*z - 22 + 3*z + 0*z.\nAnswer: -z - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q - 2. Let x = -8 + 8. Suppose x*m = -4*m + 20, 2*a = 2*m + 18. What is the remainder when a is divided by f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1672 and 8702.\nAnswer: 382888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) 5 (c) 0.3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 2*c**2 - 2*c + 2. Let h(m) = -12*m**3 + 10*m**2 + 14*m + 2. Determine -h(w) - 5*o(w).\nAnswer: 17*w**3 - 4*w - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.384 - 61.131. Let f = 0.247 + i. Round f to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*k - 18, g + 0*g + 10 = -k. Let m(s) be the third derivative of -1\/60*s**5 - 3*s + 0 + 17*s**2 - 7\/24*s**4 - 1\/6*s**3. What is m(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 552706\/259*(1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9*s - 24 = 0. Suppose -s*l - 110 = -11*l. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and -7525.\nAnswer: -7524.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 332906 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14056 + -1650.34056. Round i to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssnnssnsnsssnssnnnnn. Give prob of sequence snss.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 11*u + 2. Let f be p(11). Let n(y) = -4*y - f*y + 4*y. Let v(l) be the third derivative of l**4\/24 - l**2. What is v(n(z))?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z. Let a(c) = -178657*c. Determine n(a(v)).\nAnswer: 357314*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 2*s + 3*s + (4 - 5 + 4)*(4*s + 10*s - 4*s)*(-4 - 1 + 0).\nAnswer: -149*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1378210 and 51\/2830.\nAnswer: 1378210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 9 = 14*m + 3*a, 5*a = 2*m + 21. Solve -5*l + 2*r = -25, -30 = -3*l + m*r - 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/20947 and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**5 - 12*y**4 - 603*y**3 - 242059*y + 1 wrt y?\nAnswer: 20*y**3 - 144*y**2 - 3618*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.45 + -3.48. Let p = -0.176 + -3.794. Let o = p + q. What is the third biggest value in 0.4, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*u + 1 = -3*o, 0 = 2*o + 2*u - 14. Suppose o*m = v - 5, 2*v - 6*v - 7 = -3*m. Let x(i) = 3*i**2 - 2*i + 4. What is the tens digit of x(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29\/5 of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17838, -14030, -10222, -6414, -2606, 1202?\n\"Answer: 3808*s - 21646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*w + 221*w = -63. Suppose -17 = -t + 7. What is the highest common factor of w and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/4 + 2147*x**3\/4 - 1616055*x**2\/4 + 265714353*x\/4 - 132050223\/2 = 0. Calculate x.\nAnswer: -2766, 1, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 617.9732mg in micrograms?\nAnswer: 617973.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1233e?\nAnswer: 1233a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by 15\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -509 plus 2662400934?\nAnswer: 2662400425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2288823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/265*(10\/(-8) + (-1716)\/(-1872)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -276*y**3 + 1384*y**2.\nAnswer: -1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -3)*4\/6. Let l be (-168)\/270 + (-74)\/(-333). Which is the nearest to 1.5? (a) l (b) o (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(1\/11)\/a)*a**(-7))**(-2\/43) assuming a is positive.\nAnswer: a**(112\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 15757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - u - 3*u)*(-u**3 + 0*u**3 - u**3) + 160*u - 160*u - 127*u**4 to the form q*u**2 + v*u**4 + l*u**3 + n + z*u and give v.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2457.0277 times 0.4?\nAnswer: -982.81108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 3*a + 5. Let j be g(5). Let o be 4 - (-2)\/((-8)\/(-12)). Let d(l) = -4 + l**2 + 5 + 2 + o*l. What is d(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*-1*sqrt(125) + -3 + 5*((sqrt(5) - -3*sqrt(20)) + -1 + sqrt(15)\/sqrt(3)))**2.\nAnswer: -180*sqrt(5) + 581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/70 - -59\/630. What is the closest to 41 in w, 3\/4, 0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16675 plus -3?\nAnswer: 16672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let s(u) = -u**2 - 2*u - 88. Let z be s(v). Let h = 146 + z. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = 30*q + 60*f - 66*f, -5*q - f - 40 = 4*f for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 302214 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 12 - 12)*(2*m + 11 + 0*m - 9)*(0*m**2 - 15*m**2 + m**2) in the form i*m + k + w*m**3 + q*m**2 and give w.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -113 + 285. Suppose 0 = -3*d + 4*f + 98 + 54, f = -3*d + a. What are the prime factors of (1 - 0\/(-4)) + d?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1643, -12906, -43489, -103058, -201279, -347818, -552341?\nAnswer: -824514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/190 + 4461\/760. What is the common denominator of (-4)\/(-8) + -3 + 22\/(-16) and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5))**(-6\/19) assuming s is positive.\nAnswer: s**(30\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-132)\/(-32)*4*2*1?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 23*p + 23. What is the remainder when h(7) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3161 divided by 2?\nAnswer: 3161\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17 - 17*a - 38 - 42*a - 54*a with respect to a.\nAnswer: -113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477.6 times -38.36?\nAnswer: -95040.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -108 + (33 + 4 - 28).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvk when three letters picked without replacement from rkkkrgxxvxxkgx.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 591515815 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + sqrt(637)*2))**2.\nAnswer: -1344*sqrt(13) + 40912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 890 a factor of 5319626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 2:25 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1403*n + 1405*n + 32 - 2809*n.\nAnswer: -n + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 87 - 77 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2679 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158210*o**4 - 203760*o.\nAnswer: -1898520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10188552 and 144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 363 and 347502.\nAnswer: 42047742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1647 and 93015.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -87, -168, -291, -462, -687, -972, -1323?\nAnswer: -1746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272058?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -1. Suppose 4*o + 3*p + 1 = 0, -2*p - 6 - 4 = -2*o. Calculate the remainder when 371\/t - o\/9 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k = -16*k + 290656. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**4 + 3*a**4 + 5*a**4 + (-1 - 1 + 1)*(a**4 + a - a) as u*a + i + o*a**4 + g*a**2 + z*a**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1503 - 739. What are the prime factors of z?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27*(-3)\/(-117)*13. Solve -8 - 5 = 4*w - m, 3*m + i = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + (-1 - (-3 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579204.\nAnswer: 2, 3, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3521*o**2 + 2 - 3 + 0.\nAnswer: -3521*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/12 - 3*c**2. Let l(s) = -25*s + 23*s + 2 - 2. What is l(m(o))?\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 0*f**7 + 0*f**6 + 0*f**3 + 1\/84*f**8 + 0*f + 1\/24*f**4 + 0 - 4*f**2 + 0*f**5. Find the second derivative of s(z) wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agzu when four letters picked without replacement from zzsaugp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -4, -0.1, 471, 1\/12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -14*s + 163 - 59, -4*s = -p - 2*s - 37 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3 - 1) + (-1092865)\/(-10))*(-2)\/(-3) 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 391 and 162585875?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -322 + 114?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -244.91 + 2.91. Let t = m + 173. Let b = t + 67. What is the nearest to -0.1 in 5, b, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 409 + -249. Let q = 237 - c. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20204 divided by 1.\nAnswer: 20204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 - g**2 - g + 1. Let s be w(1). Suppose 54 + 36 = s*v. What is the common denominator of 254\/(-24) + (-9)\/v and -47\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249 is divided by 68.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = 3*d + 3*h + 109, h = -38*d + 4*h - 462 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 240 = 5*f, 0*y + 5*f = -4*y - 280. Does 13 divide y*(18\/(-15))\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*h + 2 + 21, -g - 2*h - 9 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 433 - 81. Let l(d) = d**3 - 5*d**2 - 13*d + 25. Let t be l(7). Calculate the highest common divisor of t and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - j = 4, -23*d + 28*d + j = 4. Solve -4*m = -3*n - d, -3*m + 5*n + 12 = 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5551, -11100, -16653, -22210, -27771, -33336, -38905?\n\"Answer: -2*h**2 - 5543*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1074 is divided by 348.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365259888?\nAnswer: 2, 85328743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12397 + -1?\nAnswer: 12396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 7 + 2 - (-2 - (5 - 10)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from -12.26412.\nAnswer: -20.26412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.24 - -0.2. Let p = m - 0.26. Which is the closest to -1? (a) p (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3114057088?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121481\/91113 - -1\/30371. What is f in 10\/21*f - u + 2\/21*f**2 = 0?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -21 (c) -525\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05673764991 rounded to five decimal places?\nAnswer: 0.05674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 94702077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 - 3*i**2 + 2*i - 1. Determine t(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94552861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t*t\/t**(-7)))))\/t)**(6\/23) assuming t is positive.\nAnswer: t**(-54\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 351.7?\nAnswer: 347.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879595 is divided by 134?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32005 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - sqrt(84)*3)*3)\/((sqrt(12) + sqrt(108))*1).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 3 + 0 + a**2)*(a - a + 3*a**2) - 2*a**4 + 3*a**4 - 5*a**4.\nAnswer: -7*a**4 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -16566 to the nearest one hundred.\nAnswer: -16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d**3 + 14*d**2 + 19*d + 87. Let t be l(-9). Calculate the greatest common factor of t and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 11 + 14)*(38 - 10*k - 38) as f + a*k and give a.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 722, 584, 222, -478, -1630, -3348, -5746?\n\"Answer: -19*g**3 + 2*g**2 - 11*g + 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 8. Let c be w(8). Suppose 10*n - 5*n - 890 = c. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abikhrrabbrbb. Give prob of sequence hbar.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 3*n - 2. Let i be 3\/21 - (-135)\/35. Give r(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.841 - -0.181. Let y = -7.6312 - o. What is y rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 256500.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + 1*sqrt(1088)*-3.\nAnswer: -24*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**4\/12 + 9999*g. Let c(w) = -15734*w. Give c(b(i)).\nAnswer: -15734*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 1 + 1)*(-h**2 + 10 - 10).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142321 + -4?\nAnswer: -142330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - 1 + 6*n**3 + 2670*n - 107*n.\nAnswer: 3*n**3 + 2563*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1384 - 1411) + (0 - -13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 0*m - 7*m - 9*m to the form p + r*m and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 48*p**5 - 50*p**3\/3 - 163. Find the third derivative of b(d) wrt d.\nAnswer: 5760*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 1. Let q(h) = 3*h**2 + 2*h - 18. What is -q(j) + 2*x(j)?\nAnswer: -3*j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**4 + 0*o**4 - o**4)*(o - 3 + 3) + 0*o**5 + o**5 + o**5 + 0*o**3 + 0*o**3 - 6*o**5 - 1496*o - 466*o**5 + 1496*o.\nAnswer: -468*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91*h**3 - 6746*h**2 - 481*h - 2073?\nAnswer: 546*h - 13492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 939305769.588 and 103.\nAnswer: 939305872.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -120, -227, -330, -423, -500, -555, -582, -575?\n\"Answer: h**3 - 4*h**2 - 102*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132.6 or -2\/2699?\nAnswer: -2\/2699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/1320*-11 - (-226)\/(-168).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/7 - 3758*b**3\/7 - 59646*b**2\/7 - 55890*b\/7 = 0. Calculate b.\nAnswer: -1863, -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 8:14 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + -3 - 2*1. Let p be q - (-4)\/(-1 + -7). Put p, -4\/5, -1\/4 in ascending order.\nAnswer: -4\/5, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 43*p**4\/24 - 209*p**2. Let s(w) = w + 98. Give s(d(j)).\nAnswer: 43*j + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 5*r**2 + 2. Let x be s(-5). Let v be x*1*(-471)\/(-2). Suppose -3*u - v = 5229. What is u rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126323.9 - -18?\nAnswer: -126305.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*u + 5*u. Suppose 0 = -u*j + 7*j. Solve -5*r - 1 + 6 = j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 11:03 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1201230 by -54.\nAnswer: -22245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - 16) + 139 + (0 - -16).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 269062*m + 3497828. What is t(-13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 - 13. Let c = -69.98752 + v. What is c rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5503892 and 22?\nAnswer: 60542812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-three thirds of a hour?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189065.\nAnswer: 5, 37813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-209)\/1045*(-1 + 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -2\/7 (c) -95 (d) 3 (e) -100 (f) -0.1 (g) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6 - (-10 + 25 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k + l + 18183195 = 0, -2*l + 27274810 = 6*k. Round k to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35574583 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -94493, -188983, -283473?\n\"Answer: -94490*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:17 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/2)\/(15\/(-220)) + -2. Suppose 88 = 27*x - b. Calculate the greatest common divisor of 28 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1723338 and 8\/81?\nAnswer: 15510042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*3\/((-60)\/(-70)). Suppose y*o - 186728 = 13*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24861 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 157*a + 16 = 162*a, 10 = -2*u - 3*a. Put u, 2, 13 in descending order.\nAnswer: 13, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 11:33 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2563?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-15 - (-35 - -13))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**4\/4 + f**3\/6 + 3*f**2\/2 + 5*f. Let v be g(-8). Suppose v = 4*c + 5*a, -2*a = 5*c - 0*c - 255. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/2))**47\/(y**3*y\/y**(-2)))\/((y**(-2\/5)\/y)**37\/((y*y**2)\/y**(-4))) assuming y is positive.\nAnswer: y**(1233\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -0.043, 0.4, -10\/9.\nAnswer: -6, -10\/9, -0.043, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7900 + -10302. Let q = 4 - 8. Is (4 + 5 + 1)*i\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 3)*(2 - 2 - v**2) to w + f*v**2 + j*v and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 5*l - 2. Let j be m(7). Let t be 3\/j + 1\/(-4). Is -15*(0 - 1 - t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 19.5305 (c) 2 (d) 3 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -918*y - 54. Let j(q) = -167*q - 10. Determine 5*c(o) - 27*j(o).\nAnswer: -81*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11205 - 22411\/2. Put f, 249, 5 in decreasing order.\nAnswer: 249, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26401\/2*(63972\/(-21322) - -3). Let c = 1\/3046 + z. Are -5 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -7 - (-10)\/5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*j + 7*j - 2*j - 3*j + (1 + 4 - 6)*(2 - 2 - j) - 3*j + 6 - 6)*(-4*j + 3*j + 3*j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (18\/30*10)\/((-8)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k + k - k - 5*k. Let i be w(-2). What is the third derivative of 3*v**i + 7 - 3*v**2 - 7 wrt v?\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**4\/4 + 2*g**3\/3 + g**2 - g + 1. Suppose 0 = 5*d + 13 - 3. Is z(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {h: 7, z: 5, l: 1}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and -35111.825 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 19*p + 54. Let q(x) = -57*x - 145. Let d(j) = -8*g(j) - 3*q(j). Let o(l) = -9*l - 1. What is 2*d(n) + 5*o(n)?\nAnswer: -7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*j**2*n**2*p - 31005377*j**2*n - 3*j**2*p - 28*j*n**2*p - 2*j*n - 19079*n**2 wrt n?\nAnswer: 142*j**2*p - 56*j*p - 38158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*p + 40, 4*p + 25 = 3*q - 40. What are the prime factors of (-20)\/(-8)*2196\/q?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6)*(5 - 5). Let p = -4 - -6. Suppose w + 2*s - 1 = y, w + p*w + 3*s - 9 = 0. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42262 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 4\/(16\/(-36)). Suppose s*a - 2*a = 25. Suppose -5 = 3*r + 5*z - 3, 8 = -2*r - a*z. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f - 3. Let r be a(2). What is the highest common divisor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d - 1. Suppose 105 = 4*v - q + 19, 2*q = 2*v - 40. Suppose -7*g = 4*g + v. Calculate i(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 559.\nAnswer: -7\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -715 - -12143\/17. Is -1 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 - 15*a**2 - 24 + 2*a**4 + 22 + a - 4*a**3 + 15*a**2 to the form j + s*a**2 + g*a**3 + t*a + v*a**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -140.54, 5\/2, -3070?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + -83. Let d = 87 - x. Suppose -4*v = -3*g - 260, 2*v = 5*v - 5*g - d. What is the highest common divisor of v and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20212424003 - -10?\nAnswer: -20212423443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126 - -45771?\nAnswer: 45643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 45240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 27590262754484.\nAnswer: 27590262754482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7. Suppose 5 = 3*k + 5*m, c*m = 5*k - m - 27. Suppose 0*t + j - 770002 = -5*t, 5*t - 770010 = -k*j. Round t to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -770, -1549, -2328, -3107, -3886, -4665?\n\"Answer: -779*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2cb98 - -913?\nAnswer: 307ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.5*-203.\nAnswer: -1928.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.142 (b) 46 (c) -1\/6 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + l)*(6 - 2 - 3) + 3*l + l - 2*l - l + l + l + (l + l - 4*l)*(5 - 2 - 2) + 2 + l - 2 + 8*l - 4*l + 7*l as m + d*l and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05 and -145.3544.\nAnswer: -145.3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -109061268, -218122532, -327183796, -436245060, -545306324?\n\"Answer: -109061264*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 - k**2 + k**2)*((2 - 2 - 2)*(2 - 1 - 2) + 0 - 2 + 5)*(2 - 8 - 1 - 1 + 2 + 0 + (-3 + 4 - 3)*(-3 + 2 + 2) + 4 - 3 - 2).\nAnswer: 270*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -44. Solve 3*n - 2*r - 7 = 0, -2*n + y = 5*r - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -192, -590, -1254, -2184, -3380?\n\"Answer: -133*s**2 + s - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/5 + 18*c**2\/5 - 6*c + 14\/5 = 0 for c.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 366925 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f. Suppose -2*o + 0*c - c + 11 = 0, 2*o - 5*c = -7. Suppose 16 = -6*g + o*g. Let r(z) = -14*z. Determine g*x(h) + 3*r(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 6, 2, 4, -5, -1 in increasing order.\nAnswer: -5, -1, 2, 4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*c - 4*q + 16, -4 = 5*c - q. Let j = 2 + c. Does 5 divide (0 + 14)\/(-1 + j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 2*t**5\/5 - 97*t**3 + 579*t**2\/2 - 447. What is the second derivative of b(y) wrt y?\nAnswer: 24*y**2 - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4749*g - 2*z - 44 = 4745*g, -11 - 5 - 5 = -9*g - 2*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 1100\/33)\/(5\/6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 7 - 4) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(1573))*-6)**2.\nAnswer: -28512*sqrt(13) + 2039904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 21*i. Let t(r) = 112664*r. Give a(t(u)).\nAnswer: 2365944*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1125938.042169 - -1.957831. Let f = -1125943.000015 + t. Let m = f - -3. What is m rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/7)\/(2\/(-7))*-1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597882.8um to centimeters.\nAnswer: 59.78828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199 greater than 2197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 5\/2, 0.206, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -55928.6 rounded to the nearest one thousand?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 g, and 2 r when four letters picked without replacement from {g: 3, r: 2, w: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/15 and -4\/39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 309131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14765275*k**4*r - 8*k**3*r - r - 139819859 wrt k.\nAnswer: 59061100*k**3*r - 24*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 444 and 576?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214 - ((-21)\/6 - -4)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 0.1, -4, 3, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**3\/2 - 8*z - 10. Let i(r) be the first derivative of u(r). Let b(t) = 2*t**2 + 3*t - 3*t. What is i(b(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4 - 60*i**3 + 62*i**2 = 0.\nAnswer: -31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-8197 - 8746 + 16440)*(1 + 4 - 3) + 1 + 0 - 3)*(2*x - 1 + 1) to b + o*x and give o.\nAnswer: -2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 569857 (b) 6 (c) 20 (d) 0.4 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 - 24*g**3 + 36*g**2 + 56*g = 0. What is g?\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceyc. Give prob of picking 1 e and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 394, 200, -314, -1304, -2926?\n\"Answer: -26*n**3 - 4*n**2 + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g - 5*m + 47 = 0, -3*m - 33 = -5*g. What is the remainder when 87 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0788 times 0.07\nAnswer: 0.005516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262652.\nAnswer: 2, 13, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357164.\nAnswer: 2, 29, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -5, 0.036, 15, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**3 - 4*w**2 - 4*w + 2. Let q be d(-4). Suppose q + 7 = 3*u. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + j - 55. Calculate y(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237684*t - 2 + 237737*t + 2 - 475573*t + 0.\nAnswer: -152*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -836, -3348, -7536, -13400, -20940, -30156, -41048?\n\"Answer: -838*a**2 + 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102993 and 7602756.\nAnswer: 83630316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*r + 16, -3*l = 5*r - 10*r + 23. Let f be 0 - l - (-2 - 22). Let x be (6\/9)\/(2\/15). Solve f = x*u - 10*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2900, 2873, 2846, 2819?\nAnswer: 2792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9707*s + 1057*s - 3 - 2277*s to the form c*s + j and give c.\nAnswer: -10927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 3*g + 4. Let q = 23 + -18. Give n(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -6 + 30\/12)*-8*(-15)\/(-1410)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = d - 5, 7*s - 3*s + 2*d = -20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 50*k - 102*k + 51*k. Let m(b) = -b - 1. Give h(t) - 3*m(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**7*n*(n\/n**(-5\/3))\/n)\/((n\/n**(-12))\/((n\/(n**(-10)*n))\/n)) assuming n is positive.\nAnswer: n**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 + 1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -85, -144, -221, -322, -453, -620?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m + 9*m - 13*m + 7 + 0.\nAnswer: -21*m + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 24825*n**3 + 0 + 0 + 25180*n**3 in the form x*n + y*n**2 + o + i*n**3 and give i.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -0.1, 1, -23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-154))\/(5\/140)*(-3)\/16\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 0*f - f + 5*f - 5*f + 2*f + (1 + 0 - 3)*(0*f + 2*f + 0*f) - 58*f - 297*f - 981 + 362*f + (-3 + 3 + 3*f)*(1 - 5 + 3) as i*f + a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7629 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (3\/9)\/(2\/12). Suppose -4*s + 42 = -j - 130, 2*j - 140 = -y*s. What is the remainder when 834 is divided by s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222916 is divided by 2164?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - 3\/(12\/8). Suppose -15 - 3 = -w*v - 2*a, 3*v = 3*a - 9. Solve 2*f = 5*n - 2, v*f - 1 = -4*n - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + c = 3*c + 820, -4*c = -b + 219. Is 205 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 38 + 32 - 107 + 35 - 7*b.\nAnswer: -8*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-30) + (8\/5)\/(-2). Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 - -104. Let t = y + -9. Which is greater: 1\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222 and 71454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 1839755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 16 - 146 = 0. Let x(m) = m**2 + 11. What is the remainder when k is divided by x(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/9 (b) 11\/3 (c) -97 (d) -4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and 32 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33.2? (a) 4 (b) 2\/3 (c) -23 (d) 0.4 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80855, 323574, 728111, 1294472, 2022663, 2912690, 3964559?\nAnswer: 5178276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -174 - 250 - -234.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*a - 45 + 45)*(1 - 2 + 3)*(-1 + 0 + 2).\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*k + 331 + 1817 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l + 8 = 0. Suppose z + 2*j - j + 2 = 0, 3*z = l*j + 14. What is the highest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*n + 308*n = -3381 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2785 - -8576. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (66\/(-495))\/(7\/(-850)). Let f = o - 49\/3. What is the second biggest value in -3, -7\/2, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1) + (2 - 1) + 2. Let l be m*6\/9 - -6. Suppose -l = a - 2*v - 40, a - v = 35. Does 40 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122203\/5803656 - -1\/24488. Calculate the common denominator of -51\/1106 and z.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370.2 plus 63?\nAnswer: 1433.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 393*o**2 - 35827*o + 5816. What is n(91)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3282 is divided by 732?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-5 + 2 + 1)*(-1 + 4*c + 2*c - 4*c).\nAnswer: -8*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -18. Let l(v) = 11*v**2 - 11*v**h - 17*v**2. Let a(k) = 5*k**2. Determine a(l(i)).\nAnswer: 1445*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 634*n**5 - 369*n?\nAnswer: 12680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 9*u**2 - 4*u - 6. What is the lowest common multiple of o(-6) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45245860879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -63. Solve -q - 2 = -l*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4853 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/14 - 20\/(-70).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l**2 - 209*l - 3 - 208*l + 416*l as u + o*l**2 + n*l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 15*m - 776. What is l(67)?\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6309*f*n**3 - 2*f*n - 3*f + 849*n**3 + 87093*n - 1 wrt n?\nAnswer: -37854*f*n + 5094*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*q**3*x**2 - q**3*z - 5*q**2*x*z - 2*q*x**2*z**2 + 3*q*x**2*z + 7*z**2 wrt x?\nAnswer: -48*q**3 - 4*q*z**2 + 6*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (256\/(-384))\/(((-2)\/18*3)\/(-7)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68642?\nAnswer: 2, 7, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 4 = 7*a. Let y(h) = 5*h**3 + 3*h**2 + 2*h - 3. List the prime factors of y(a).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(20\/(-1)))\/(12\/(-15)). What is the third smallest value in -2\/7, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 6*r**2 - 7*r + 1. Let h be w(-7). Suppose 4*x + k + 4 = 0, -3*x - 2*k - 4 = x. Let d be ((-1 - x)\/1)\/(-3). Are h and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 4:01 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-29 + 8610\/294)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5017445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**25*y**(-13) assuming y is positive.\nAnswer: y**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132.6 - -133. What is the nearest to 0.1 in -0.4, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)*14\/2. Let l be (-5 + u)\/((-2)\/16). Let y = -14 - l. Solve -f = y*f + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 492 (b) -3 (c) -2\/3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4553093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1b85 (base 14) to base 6\nAnswer: -35121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12463 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231 - -233.63. Let w = -2.73 + y. Let m = -16 - -20. Which is the nearest to -1\/4? (a) m (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36920 and 2340.\nAnswer: 332280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295585397 greater than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w**2 + 41*w**2 + 40*w**2 - 236*w**2 + 37*w**2 + 35*w**2 + 52*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/(-20))\/(3\/8). Let j(l) = -o - 2 - 4*l + 6 - 2 + 4*l**2. Is j(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(-12)\/o)\/o)**(2\/49) assuming o is positive.\nAnswer: o**(-26\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 8*o + 7. Does 5 divide r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + z - 4*z)*(-z + z + 3*z**2) + (-54 + 10 - 4)*(-z**2 + z**2 - z**3) + 0*z**3 + 0*z**3 - 2*z**3.\nAnswer: 49*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 30\/6 + -5 + 466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 29*k - 1209. Let v be s(42). Suppose 5*t + 4*r = 148 + 703, -t = 5*r - 166. Calculate the greatest common factor of v and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 - 23595364*o\/3 + 278370601146248\/3.\nAnswer: (o - 23595364)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.255*4.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1025224 and 3588284?\nAnswer: 7176568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-528)\/990*(-3)\/(-2)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 4*b**2 - 5*b - 2. Let g be s(-3). Suppose -g*t + t + 174 = 0. What is the least common multiple of 6 and (-24)\/(-32) + t\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 5 - 1 - 6 + 3*o**4 - 6*o - o**3 to the form h + s*o + r*o**3 + m*o**4 + a*o**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51014.9188 - -51146. Let q = c + -131. Let l = -0.08 + q. Round l to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bc9 + bd?\nAnswer: ca8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11401373393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12350139, -24700262, -37050385, -49400508?\n\"Answer: -12350123*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 10:34 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 5:10 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32524010 - 10?\nAnswer: 32524000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - (-6 + 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*m + 236, 2*s - m = 4*m - 118. Let z = s + 61. Suppose 0 = -0*g + z*g - 16. What is the remainder when 25 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 250*(-12 - (-190)\/19). Which is smaller: -494 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.403503 millilitres in litres?\nAnswer: 0.005403503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 12:01 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*x - 24. Suppose x = -h + 5*h. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 50*b**2 + 5*b - 7. Let d be z(-6). Suppose 0 = s + 2*o - 572, -5*s + 1073 = 2*o - d. Suppose -6*h + s = -82. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/(-8))\/((-88)\/(-57024)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-27) + 6\/27. Suppose y*g + 5*g - 40 = 0. Suppose -g*x + 28 = -4. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -12*u + 15. Suppose -51857 = -18*z + u*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 - 23 = -10*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 132046773 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19386109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.08 (b) -3\/2 (c) -0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.995484 to two dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3786 + -3785.6. Let l = 2.99 + 0.01. What is the closest to 2\/3 in 1\/2, k, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.97 - -0.03. Let d be -11 - (-5 - 1) - -9. Which is the closest to 0.3? (a) d (b) r (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 4*x + 3. Let m be j(-3). Solve -p - 2*p - m = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1281, 4, -2, 6, 0 in ascending order.\nAnswer: -2, 0, 4, 6, 1281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 314\/1570*(-5)\/(-4)*(-4)\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 5 - j**4 - 3 + (2 - 2 - j**3)*(4 + 2*j - 4).\nAnswer: -3*j**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 9*f - 3 + 2)*(f**3 + f**3 - 30*f**3).\nAnswer: -112*f**4 + 28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104749955.00000022 - -104749964. Let p = -0.5 + 9.5. Let l = p - y. What is l rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 163. Let g(q) = 2*q + 164. Determine -6*g(a) - 5*l(a).\nAnswer: -2*a - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 12, q: 7}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0*n**6 + 0*n**5 + 5 + 0*n**2 + 11\/42*n**7 - 7\/2*n**3 + 0*n**4 - n. Find the second derivative of k(y) wrt y.\nAnswer: 220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 274*44\/(-121)*-11 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*t + 9 + 7, -4*i - 3*t + 4 = 0. Let a(w) = 4 - 11 - w**2 - 17 - 11*w. Let m be a(-8). Sort m, 3, i.\nAnswer: m, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 - 2.1. Which is smaller: i or 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2. Suppose -2*p + 8 = q - 3, 3*q + 2*p = 13. Let b(s) = -s - 4 + 3 + q. Determine b(v(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*l = -0*l - 25, j - 5 = 3*l. Let f(k) be the first derivative of k**2\/2 - 2*k - 1. What is f(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + (-46 - -82) - 34?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**7)\/(f\/(f**(-1\/6)\/f)))**(-43)\/((f*f**0)**20\/((f\/f**(-3)*f)\/(f\/f**(-3)*f))) assuming f is positive.\nAnswer: f**(1987\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1161025 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 68186 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 75\/4*u - 35\/2*u**2 + 5\/4*u**5 - 20*u**3 + 0 + 35\/2*u**4 = 0?\nAnswer: -15, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k + 3*k - 615. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.32 - 0.08. Let b = g + 0.1. Let y = -0.04 - 0.16. Sort 5\/2, b, y in descending order.\nAnswer: 5\/2, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 192282*n**2 + 2691507*n + 9419760.\nAnswer: 3*(n + 7)**2*(n + 64080)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45731 = -3*j - 4*z + 72173, -2*j = -3*z - 78563. List the prime factors of j.\nAnswer: 2, 11, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.019491 centuries?\nAnswer: 0.7019491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**2 + 59*x. What is b(-6)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 2*c**2 + 2*c - 1. Let n be b(3). Calculate the highest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + -53 + -54 + 36 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1961851*o**3*x**2 - 2*o**2*x**2 + 4*o*x**2 - 18*x**2 + 2197 wrt o?\nAnswer: -11771106*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Solve -4*k - 11 = -n + 6, d = -3*n + k + 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adpadupauaduaupappa. Give prob of picking 1 p and 1 u.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24206 and 6.\nAnswer: 72618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87 - -50) + (-19 - -57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 12, -2*b + 8 = f - 7*b. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-1))**(1\/45))**(-18)\/(u**(-6)\/(u*u**4))**(-1) assuming u is positive.\nAnswer: u**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4931.67 and 928?\nAnswer: 4576589.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 3 + 89267*l - 38 + 20.\nAnswer: 89267*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 2\/14195, 11\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 14 + 71)*(-2*q**3 + 1 - 1).\nAnswer: -156*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -3*n**2\/2 + 10*n - 35. Calculate z(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, 14, 99, 270, 557, 990?\n\"Answer: 5*h**3 - 2*h**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*a + a. Suppose a = 3*g + 61. Let x be (-310)\/g + (-2)\/3. Solve -2*b + x = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.3 (b) 0.01 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -1, 2\/5, -3, 3911, 2\/3, -8 in ascending order.\nAnswer: -8, -3, -1, 2\/5, 2\/3, 24, 3911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(117)*-6 - sqrt(117)) + sqrt(117) + (sqrt(117) + -1)*-5)*3)**2.\nAnswer: 270*sqrt(13) + 1278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-837)\/217 - -28) + -24?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 10*l**2 + 11*l - 11. Let z be o(7). Suppose 4*d + 172 = z. Does 26 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 6) to base 15\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/524736 and -1\/699648?\nAnswer: 2098944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 2:30 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -56. Let b = -53 + v. What are the prime factors of b*2\/(-32) - (-5944)\/64?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28807351340649\/581984360584 + -1\/437253464. Let n = -2\/1331 + b. Calculate the common denominator of -81\/8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1948435806 to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -23, 4, 71, 190, 373, 632?\n\"Answer: 2*w**3 + 2*w**2 - 21*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41867\/16 + 2612. What is the common denominator of x and 59\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3872 + 15487\/4. Put c, -17\/3, 2\/13 in increasing order.\nAnswer: -17\/3, c, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 - 2 = -5*l, 0 = 2*g - 2*l - 32. Suppose y = 2 + g. Suppose -3*z + 6*z - y = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26444*o - 17782 wrt o?\nAnswer: -26444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8115 + -8114.9990634. Round c to five dps.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let l(k) be the first derivative of -3*k**2\/2 + 2*k - 549. What is -l(i) + t(i)?\nAnswer: 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**2\/d*d))*d)**(-29)*d*d**(3\/8)*d**(-11)\/d*d assuming d is positive.\nAnswer: d**(-773\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 54 = -3*w + 10 - 13, -128*w - 785 = -285*w for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-8)*28\/(-42)*32\/(-70)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4241*k + 56122?\nAnswer: -4241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -6. Suppose -5 = 2*s + c. Let l(o) = -2 + 5035*o + o**2 - 5035*o. Calculate l(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 496799434 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**34\/(o**1)**(28\/9) assuming o is positive.\nAnswer: o**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.5 - -11. Let d = s - -3. Let p be (-4)\/(-12) + -1 + 1. Which is the smallest value? (a) d (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 105 = 318. Let v = f - 49. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232876?\nAnswer: 2, 7, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**3 - f**2 - 7*f - 4. Let u(l) = l + 9. Let c be u(0). Let h(i) = i**3 - 10*i**2 + 8*i + 6. Let n be h(c). Is m(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*p - p + 0*p)*(p - 13*p + 5*p) - 5480*p + 2737*p + 2739*p + 25 - p**2 to the form f*p**2 + b*p + v and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4 + 16470*q**3 + 8923428*q**2 - 17896262*q + 8956365 = 0.\nAnswer: -527, 1, 16995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*g + 10. Let i = -156\/73 + 9370\/4453. What is the closest to 0 in g, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -14*i**2 + 28*i**2 + 15 - 13*i**2 - 9*i. Is 67 a factor of k(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a - 2. Let b(t) be the first derivative of 4*t**2 - 2*t + 5. Let r(m) = -6*b(m) + 7*f(m). Let y(n) = -1. Give 3*r(z) - 6*y(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-14) - (-16)\/7. Let l(w) = -2*w**q - w**2 + 2*w**2. Let t(o) = -23747*o + 3 - 4 + 1 + 23785*o. Calculate l(t(r)).\nAnswer: -1444*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.772 - -0.82. Let i = t + 0.352. Which is the second biggest value? (a) i (b) -5\/6 (c) 2\/9 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1761 + -1762. Let v(z) = 7*z**2 - 9*z - 5. Let p(g) = -g**2 + g + 1. What is i*v(b) - 6*p(b)?\nAnswer: -b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -452 - -2151414?\nAnswer: 2150522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/49, -0.3, -1, -1.4, 5?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n)**30*(n**2)**(-1\/13) assuming n is positive.\nAnswer: n**(-1562\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -100202?\nAnswer: -100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5479*q - 5478*q + 10953*q + 224)*(-1 + 0 + 2) to o*q + h and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**3 + 2*y**2 + y - 2. Let h(i) = -i**3 - i**2 - i. Give -2*h(m) - w(m).\nAnswer: -3*m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419212 is divided by 675?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 0.003\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - ((-38)\/42 + 3). Let y = 2 - 2. Let p(r) = -r - 2. Let o be p(-2). Which is the closest to o? (a) 5 (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1612 is divided by 107.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-51) - (-40)\/45.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = -7*i + 10*i. Let c = i - 172. What are the prime factors of c?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406 - 401 - (-1 - (2 - -5)) - 42.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 2*b + 1. Let j be (-3 - 0 - 183) + 1. Let p = -181 - j. Calculate z(p).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252200 by -1261.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1749?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ad + -291?\nAnswer: -34e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - 0.5. Sort q, 2, -1\/5 in decreasing order.\nAnswer: 2, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iizu when four letters picked without replacement from {i: 6, z: 6, u: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = -5*q - 167. Let s = 21 - q. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/3, -4, 31, -1\/4, -1580 in increasing order.\nAnswer: -1580, -4, -4\/3, -1\/4, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16305399 and -0.1.\nAnswer: 1630539.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 v when three letters picked without replacement from {v: 6, u: 7, w: 4}.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*0 + 203. Let y(i) = 13*i**3 - 2*i**2 + 2. Let s be y(3). Let b = s - d. Calculate the greatest common factor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 26. Let m = -14.99966 - h. What is m rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r**3 - 196*r**2 + 196*r**2)*(-1753*r + 3505*r - 1762*r) in the form d*r + k*r**4 + b*r**2 + j*r**3 + h and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13886 in 2, -5\/7, 3, -1\/2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -247*w = -431 + 925 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 317928828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 7*c**6\/360 + c**5\/60 - c**3\/2 - 3*c**2. Let f(b) be the first derivative of m(b). Factor f(i).\nAnswer: i*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 58504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*b - 24 = 2*c, -c + 2*b - 6 = 0. Put 3, c, 0, 4 in decreasing order.\nAnswer: 4, 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -619 + 619. Let z = -8 - -12. Suppose a + 2*r - 9 = 2, -4*a + 4*r - z = y. Solve -h = 2*h + a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4\/11 - 60*q**3\/11 - 142*q**2\/11 + 456*q\/11 - 256\/11 = 0.\nAnswer: -4, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(-j**2 + 2*j**3 + j**2) + 6 + j**3 - 6 + 5092241*j + 3613*j**3 - 5092241*j to the form u*j**3 + y + v*j**2 + b*j and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-18) - (-595)\/45. Let r = -24 - -15. Let u = r + b. Solve -s = -5*d - 19, d = u*s - 4*d - 31 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 2, 6, 4, -17 in descending order.\nAnswer: 6, 4, 2, -4, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99.3 + -110. Let a = z - -13. Let k = -1.7 - a. Sort -0.3, -0.2, k, -0.4 in increasing order.\nAnswer: k, -0.4, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32648 - 15759. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-48)\/15))\/((-3)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 + -89. Solve i - 2*g + 7 = 2*i, 15 = c*g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2 - 3.41. What is x rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6771*q + 5316*q - 1493*q to the form p*q + t and give p.\nAnswer: 10594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(77) + -1*sqrt(77)*1 - (sqrt(77) - 1*sqrt(77)*1))\/(sqrt(88)\/(sqrt(8) - 1*sqrt(8)*2))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20473 or 20482?\nAnswer: 20482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 236981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.3 - 1061472.\nAnswer: -1061461.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:49 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -5*k + 76 - 94, -3*k - 13 = 4*w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 10*p**2 + p + 10. Suppose 0 = -f + 5*f - 2*r + 34, -4*f - 43 = r. Let n be d(f). Let c be (-6)\/10*(-335)\/402. Sort -2\/7, c, n.\nAnswer: -2\/7, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 35*g**5 + 220*g**4 - 780*g**3 + 670*g**2 - 55*g - 90 = 0?\nAnswer: -9, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10485371 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 - 4*w + 3. Let y be r(2). Suppose -32 + 11 = y*k. Which is smaller: -31 or k?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d - 9. Let u(n) be the second derivative of 1\/6*n**4 + 28*n + 0 + 0*n**2 + 0*n**3. Determine u(z(b)).\nAnswer: 50*b**2 + 180*b + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*z + 0 + 1 + 10*z + (-3 - 2 + 3)*(-113*z - 656*z + 55*z) as q*z + u and give q.\nAnswer: 1425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41499 is divided by 1381?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -592*l**4 + 10*l**3 - 1321. Let k(j) = -594*j**4 + 8*j**3 - 1321. Let g(v) = 5*k(v) - 4*x(v). What is the derivative of g(u) wrt u?\nAnswer: -2408*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.162715 weeks in milliseconds?\nAnswer: 1308010032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**6\/60 - n**5\/60 - n**3\/6 + 124*n**2 + 3*n. Let j(h) = 3*h**3 + 2*h**2 + 1. Let v = -19 - -22. What is v*j(k) + 4*y(k)?\nAnswer: k**3 + 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1)\/66*132\/168*(-28)\/(-24).\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.34, -4\/3, 0.2?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 - (-10)\/(120\/(-2612)). Is -205 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 4:35 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/(g**23\/g))\/g*g)\/g)\/g)**(-2\/19)*g**13*g**9)**14 assuming g is positive.\nAnswer: g**(6496\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i - 14. Suppose -13*o + 12 = -16*o. Let m be j(o). Suppose 0 = 5*g - 3*u - 14, 5 = m*g + 5*u - 13. Solve -d = -g*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:22 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssns when four letters picked without replacement from {n: 12, s: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + l + 4242. Let b = l - 430. Let a be (-1 - 0)*-1 + 21. What is the highest common factor of b and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209171 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a - 20*a + 740 = 16*a. Sort 2, -3, -1, a, 5.\nAnswer: -3, -1, 2, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3209541 divided by 3?\nAnswer: -1069847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1606\/219)\/(6\/(-8)*(-8)\/9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**3\/3 - 3*x**2\/2 - 4*x + 1. Let r be w(-3). Let d = -10 - -15. Which is the second biggest value? (a) 0.3 (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3873*-0.2.\nAnswer: -774.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-330)\/7245*-69*(4\/12)\/((-2)\/3).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d + 11ab59?\nAnswer: 11ab87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/48824 and 31\/7898.\nAnswer: 537064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 280 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1266, 5083, 11444, 20349, 31798, 45791?\nAnswer: 62328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 3\/2*z + 1\/2*z**2.\nAnswer: (z - 4)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 24*o**3 + 60403900*o**2 + 251682516*o + 40269200 = 0?\nAnswer: -2516825, -4, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**2 - 8*y + 3. Suppose -4 = 4*s + k, 0*s - 2*s = k. Let l be r(s). Is l at least -59\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358638159.\nAnswer: 3, 11, 1061, 10243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 26. Let l(x) = -4*x + 7. Let u(q) = -6*q + 10. What is y*l(d) - 5*u(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 15181803?\nAnswer: -15181802.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -0.4, 2334, 4?\nAnswer: 2334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*6)\/(sqrt(6)\/(sqrt(3)*3)).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 + v + 4. What are the prime factors of c(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 3*i + 0*i + 8*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 263*u - 249*u + 84 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 2:47 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5963*t + 211*t + 18 + 235*t**3 + 3 - 237*t**3.\nAnswer: -2*t**3 - 5752*t + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 23. Let b = 34 + q. Find the first derivative of 30*a - 2 + 9*a**b - 30*a wrt a.\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 3*l**2 + 6*l - 9. What is w(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-144)\/42 - (-52)\/(-7). Let w be (-9 - v)*2\/(-4). What is the remainder when (17\/(-2))\/((1\/(-6))\/w) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1, -0.3, -5, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*-2*-5)\/(3*sqrt(1210) - sqrt(10)).\nAnswer: 5*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 2:03 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3621, 3\/4, -8 in ascending order.\nAnswer: -3621, -8, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15270524 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2429.77 - 2423.0599482. Let v = -6.71 + p. Round v to six decimal places.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, -35, -18\/17, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -188*g + 12*g + 2288 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:33 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 6. Suppose -5*a = -4*r + 9 + q, -4 = -a - r. Put a, -5, -2 in ascending order.\nAnswer: -5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-120)\/(-21) - (4640\/(-28))\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 89, 126, 163, 200, 237?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72dc (base 14) to base 10.\nAnswer: 19794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -195*o + 4*o - 270*o - 1383 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10 + 30 = 0. Suppose w = 2*q - 4. Solve -p = 2*t + p + 6, 0 = q*t - 5*p - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 22 = -2*u. Let x = u - -3. What is the first derivative of 50*f - 25*f - x*f + 7 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -136 and -0.279.\nAnswer: 37.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4013862 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i - 42*i + 11*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1710.53 + -1.1.\nAnswer: -1711.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29480*k**3 - 12601*k wrt k?\nAnswer: -176880*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**6\/3 - 8*f**5\/5 + 115*f**3\/3 + 107. What is the third derivative of w(v) wrt v?\nAnswer: -120*v**2 - 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Let g = -114188 + 114184. Put j, -7\/3, -3, g in increasing order.\nAnswer: g, -3, -7\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 11092568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 3*v + 74, 0 = -3*p - 4*v + 43. Solve -5*o = -37 + p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 10. Let j = 5 + -2. Which is the third smallest value? (a) -1 (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 7) to base 12\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 32*r + 2304, -k + 3*k + 3*k + 288 = -261*r + 257*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/7)*r**3)**(-1\/17) assuming r is positive.\nAnswer: r**(-30\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.37 + 0.17. Suppose -14*l + 0*l = -853 - 449. Which is the biggest value? (a) t (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328845, -328846, -328847, -328848?\nAnswer: -328849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 - 2*j**2 - 2*j + 117. Calculate the remainder when m(0) is divided by 106.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 379*r + 3 + 1 - 7.\nAnswer: 379*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5 + 7*h - h + h - h**2 + 5. Let i be s(8). Let z = i - 3. Which is smaller: -7\/4 or z?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 18 = -a, 5*x + 0*x = -5*a + 140. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -50. Suppose x*n = f - 7, -f + 5*n + 3 + 5 = 0. Solve f*m = 2*m - d + 1, -4*m = d - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 10*k - 6*k**3 + k**3 - k**3 - 11*k.\nAnswer: -10*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157 + 244. Let q = -336 - -343. Suppose -q*i + 194 = 61. What is the remainder when n is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/19 - 7186*d\/19 - 35880\/19.\nAnswer: -2*(d + 5)*(d + 3588)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7328 + -0.2328. What is the closest to -0.1 in -4, w, -69?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*b**2*h*j**3 - 28*b**2*j + 18*b*h*j**3 + 12*b*h - j**2 wrt j?\nAnswer: -282*b**2*h + 108*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -11. Suppose 4*s + 6 = -3*z, 3*s + 2*z = 4*z + f. Factor 2*l**2 + 2 + s + 4*l + 0.\nAnswer: 2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.64 * 650\nAnswer: 3666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11482, 11406, 11330, 11254?\n\"Answer: -76*k + 11558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 2. Let n(s) = 3*s + 1 + 1 + 0. Let q(o) = -4*o - 3. Let l = 6 - 1. What is d*n(h) + l*q(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3592.27 plus 5?\nAnswer: -3587.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 greater than or equal to 48781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -30. Let b = 22 + i. Let w(l) = 119*l**2 - 2614*l - 88. Let o be w(22). Solve o = 4*d - b*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 18*d + 59. Let n be o(-14). Let x be n + (24\/(-13) - 1). Let r(g) = g**2 + 1. Let t be r(2). Is x at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4898358 - o**3 + 4898358.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**4\/4 + 11*s. Let y(v) = -2*v. What is n(y(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2535*v**3 - 4030*v**2 + 91*v - 91. Let q(b) = 169*b**3 + 266*b**2 - 6*b + 6. Determine 91*q(y) + 6*t(y).\nAnswer: 169*y**3 + 26*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120167 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21444 (base 5) in base 2?\nAnswer: -10111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100110001 (base 2) to base 6.\nAnswer: 23345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2*g)**(-4\/13)*(g\/(g\/g**(1\/6)))\/(g**6\/g))**(-2\/47) assuming g is positive.\nAnswer: g**(449\/1833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -4, 35, -1414 in ascending order.\nAnswer: -1414, -4, 1\/5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 16*j**2 + 22*j - 560. Let g be r(15). Let i(x) = x**3 + 6*x**2 + 8*x + 5. What is i(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 61*c**2 + 663*c + 207. Give r(47).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 4*a - n - 8, -a + 5*n + 4 = 0. Solve 2*g + 11 = 3*y, 2 + 12 = -2*g + a*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.833203 or 2\/995?\nAnswer: 2\/995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2433190 by 1457.\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 + 0*r**4 - 2*r**2 - 16 + 8*r**3 + 110 + 23*r**2 + 2*r - 96 to the form j*r**2 + n*r**4 + i*r + v*r**3 + w and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*n - 205 = 0, -s = -5*s - 2*n + 230. Let m be 0 + (5 - 2)\/(9\/s). Calculate the highest common divisor of 160 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10255 and 0.14?\nAnswer: -1435.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-232)\/(-522) - 22\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/5 + 597*q\/5 + 598\/5 = 0. What is q?\nAnswer: -1, 598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 8*t + 8. Let a be f(8). Solve a = 3*y + y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 998 + 1186 = 0. Let r = g - 190. Let l(o) be the third derivative of -o**4\/12 - o**3 - 4*o**2. Determine l(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212.328759 - -212.32. Let n = -2 - -1.9915. Let w = j - n. What is w rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53305 (base 7) to base 13\nAnswer: -6004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let h(a) be the second derivative of -1\/2*a**2 + 0 - 7*a + 0*a**3 - 7\/12*a**4. Let o(l) be the first derivative of h(l). Calculate b(o(j)).\nAnswer: 196*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n**15*(n**22*n*n)\/(n\/(n*n**(-3\/4))))**(1\/50) assuming n is positive.\nAnswer: n**(33\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8994367*o**2 - 8994346*o**2 + 17988722*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/3356100 and -173\/5817240.\nAnswer: 87258600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 8:23 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 5*f - 2*f)*(30 - 28 + 49)*((-2 + 6 - 1)*((4*f - 5*f - 2*f)*(f - 4*f + 2*f) + 2*f + f**2 - 2*f) + 0*f**2 + 2*f**2 - 3*f**2).\nAnswer: -561*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -31*n**3 - 6*n**2 + 6*n. Let m(l) = 962*l**3 + 185*l**2 - 185*l. Determine 185*k(b) + 6*m(b).\nAnswer: 37*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 230, -59, 2, -458, -4, -2.\nAnswer: -458, -59, -4, -2, 2, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -17*u**3 - 55*u**2 + 11*u + 13757. Let r(o) = 8*o**3 + 29*o**2 - 5*o - 6878. Let x(b) = -6*g(b) - 13*r(b). Find the first derivative of x(w) wrt w.\nAnswer: -6*w**2 - 94*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -650597 + 1158797. What is r rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6128*f**2 - 377*f?\nAnswer: -12256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 5*t - 3*t)*(-7 + 7 - 14)*(3 + 1 - 5) to the form g + x*t and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1932 = 5*z + 2*j, -3*z - 25*j = -26*j - 1168. Let o = 544 - z. What is the highest common factor of 117 and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 23 = 3*x - 2*z, 0 = -2*x + 3*z - 2. Suppose 5*k - 23 + 3 = 0. Suppose -x = k*l - 29. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.355 - 0.065. Let d = 25.29 - h. Let r = d + -29. Sort 3, -0.9, r, -2.\nAnswer: r, -2, -0.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 3*k**2 + 0*k**2)*(-6*k**3 + 2*k**3 - 6*k**3).\nAnswer: -10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 31625451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121686 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30660.36l?\nAnswer: 30660360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4536\/247 at least as big as -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28934, -28910, -28884, -28868, -28874, -28914?\n\"Answer: -2*l**3 + 13*l**2 - l - 28944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*a + 3*t + 6, 5*a = t + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1353 = 191*w + 8038 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1575) + sqrt(1575)*2)*5)\/(sqrt(900) - (sqrt(900)*1 + sqrt(900))*1))**2.\nAnswer: 1575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i + 3. Suppose z = -0*z - 3*t + 9, 2*t = -4*z - 4. Let m(h) = -6*h + 5. Calculate z*m(a) + 5*b(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4203334 - 3011?\nAnswer: 4200323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 71046420983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - 4719?\nAnswer: -4698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**4\/6 - u. Let d(f) be the second derivative of -f**4\/4 - 18*f + 32. Determine d(c(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**2. Let o(r) be the third derivative of 0*r**3 + 1\/24*r**4 + 0 + 0*r - r**2. Determine x(o(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 9*v + 2. What is the units digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 50267.35 centimeters?\nAnswer: 502673500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-27) + 252096\/(-1128114). Does m = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5 = -6*s + 7*s, 5*y + 4*s = -30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7*n + 45. Let x(v) = n*v**2 + v + 183 - 16*v**2 - 60. Does 33 divide x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30254468.\nAnswer: 2, 263, 28759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15802 (base 14) in base 8?\nAnswer: 150712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 39 = 6*k - k, 3 = 3*f. What is the remainder when (-68)\/(-85)*(25 - 0) is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12 = 2*q. Let j(n) be the third derivative of n**4\/24 + 33*n**2 + 12*n. What is j(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -45. Solve g*z = 0, 3*w + 0*z + 4*z + 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c - 22. Give h(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5158946148?\nAnswer: 2, 3, 429912179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 - 25*r - 47. Let h be f(-5). Sort 1.3, -13, h in ascending order.\nAnswer: -13, 1.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103974 <= 1006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -y - 3*f, -2*f = -4*y + f + 46. Let b = y - 10. Suppose -u + b*k = -0*k + 4, 2 = k. Solve 3*q - 21 = -h - 9, 0 = q - u*h - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2728)\/1408)\/((-4)\/64).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6830\/30052)\/(3\/22))\/(15\/(-684)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 6:43 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816913680?\nAnswer: 2, 3, 5, 11, 309437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36471 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302048.\nAnswer: 2, 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 4*k + 83, -337*u + k + 95 = -340*u for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18911734, -18911736, -18911738, -18911740, -18911742, -18911744?\n\"Answer: -2*r - 18911732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 502\/3 + -167. Let w = -0.3 + 0.4. Let q = -3 + 2. What is the nearest to w in -0.1, q, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741*y + 2707*y - 487*y - 506*y - 489*y - 486*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/21)\/((-2)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -51*l + 157. Calculate j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-874)\/171 - (-116)\/72.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 54074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2. Let m(n) = 6*n**2 - 172. Determine i(m(q)).\nAnswer: 216*q**4 - 12384*q**2 + 177504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*u + j - 8, 0 = u + 4*j + 2. Suppose 2*q = -y + 1 + 2, -4*q + u*y - 6 = 0. Solve 2*n + 4 = -q*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2700702 and -35412535.\nAnswer: -38113237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8288434 is divided by 2348.\nAnswer: 2342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 732, 767, 800, 831, 860, 887, 912?\n\"Answer: -r**2 + 38*r + 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -544 divided by 34.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185 - 185.2. Let v = 11 - 24. Let r = -12.8 - v. Which is the nearest to -4? (a) -2\/11 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150.1 + -12.9. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f + 38*f - f**3 - 16*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18156 and 32028.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 0*n - n + n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/31)\/(f\/(f\/(f*f**(12\/11))))*(f**(-3\/4))**(2\/3) assuming f is positive.\nAnswer: f**(-1723\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 691001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 425304 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 272926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + m**5 - m**3 - m**4 + 2*m**5 + m**4 + (2 - 2*m - 2)*(-6*m**4 + 3*m**4 + m**4) + 2*m**5 - 3*m**5 + 2*m**5 + 2*m**5 + 0*m**5 - 4*m**5.\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2272 is divided by 94.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1196*k**2 - 2*k**3 + 1196*k**2.\nAnswer: -2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a**2 + 17*a + 15 - 14 + a**3 - 9*a. Determine d(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/126)\/((-3)\/21))\/((-4)\/22)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21046418, -42092840, -63139260, -84185678, -105232094, -126278508?\n\"Answer: d**2 - 21046425*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (1337\/14)\/(1\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0249452 to four decimal places.\nAnswer: -0.0249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let p(h) = h + 1. Let b(u) = -112*u - 22. Let t(x) = -2*b(x) - 44*p(x). Let o(a) = -100*d(a) - t(a). Let l(g) = -5*g**2. Calculate l(o(f)).\nAnswer: -2000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 36 = d. Let j = -11 + d. Let o(v) = j*v - 5*v - 5*v. Let c(z) = 4*z**2. Determine c(o(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1624 + 6 + 3 + -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -363 - -38ab0?\nAnswer: 38749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpvfpfvlvvppv. What is prob of sequence fvf?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/115650 - -92521\/115650. Let 12*w**3 - 2\/5*w**5 - f*w**2 - 58\/5*w + 6 - 26\/5*w**4 = 0. Calculate w.\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10386, -10384, -10382?\n\"Answer: 2*b - 10388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 9145*y**2 + 4779600*y + 525672000.\nAnswer: 5*(y + 149)*(y + 840)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201672 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**8\/84 + 41*h**7\/1470 + h**6\/6 - 8*h**5\/21 - 2*h**4\/3 - 8*h**3\/21 - 2*h**2 - 100*h. Let f(l) = 0. What is l?\nAnswer: -2, -2\/7, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 2*f - 6*f + (5 + 2 - 18)*(0*f - f - 2*f))*(4*f**2 + 3*f**2 - 5*f**2) to the form y*f**2 + o*f + u + r*f**3 and give r.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-12) - (-58)\/8. Let l = 11 + n. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1380, -1 in ascending order.\nAnswer: -1380, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**2 + 7*z - 7*z - 18*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 34*j - 124. What is q(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -281 - 310. Let t = g + 608. Calculate the highest common factor of t and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 21, 15 in decreasing order.\nAnswer: 21, 15, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/25 + (-1 - (-849)\/15). Suppose -66*l + y*l = -55. Let a(g) = 3*g - 9. Let c(m) = 7*m - 19. Let v(r) = -5*a(r) + 2*c(r). What is v(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a factor of 9428417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121050 (base 6) to base 13.\nAnswer: -4aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)\/l)\/(l\/l**(4\/9)))\/(l\/(l**(-1\/4)*l))**50 assuming l is positive.\nAnswer: l**(-307\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412265*q**3 + 2302*q**2 - 2302*q**2 - 412540*q**3.\nAnswer: -275*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 9*q + 75. Suppose 4*z = -d + q, 7*d = 2*d + 3*z + 29. Let w = -5 - -9. Is d less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 484, 479, 462, 427, 368?\n\"Answer: -p**3 + 2*p + 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 9*s - 4*s = -16, 3*o + 2*s + 2 = 0. Let x(h) be the second derivative of -1\/12*h**4 + 3*h + 0*h**o + 0*h**3 + 0 + 1\/20*h**5. Factor x(i).\nAnswer: i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -189, 0.5, -5, -23 in descending order.\nAnswer: 0.5, -5, -12, -23, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*c**2 + 48 - 48 + 24*c**2.\nAnswer: 104*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 5*o + 414. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24220398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -195054243 rounded to the nearest one million?\nAnswer: -195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -425\/2 - 638*l - 853\/2*l**2 - l**3.\nAnswer: -(l + 1)*(l + 425)*(2*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 243?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 11) to base 15.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 188 - 104. Suppose -4*r + 2*r = -d. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -20*b + 245. Determine f(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 526585429*o + 617161473?\nAnswer: 526585429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349424539.\nAnswer: 349424539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) - (-2)\/(-8). Let s(o) = l - 2*o + 0. Let p(g) = 2*g + 4. Let f(a) = -a - 1. Let t(x) = -4*f(x) - p(x). Give s(t(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d + 8 = 4*k, -k + 21 = 4*d. Suppose d*w = 3*r, 0*w - r + 13 = 3*w. Are w and 3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384639 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (2\/(-40) + (-5856)\/(-1920))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163270\/9 - 18102. Let y = q + -39. Suppose 2*u - 5*k - 6 = 0, 5*u - 2*k - 12 = u. Which is the second biggest value? (a) y (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -8*n**3 + 11*n**2. Let r be 11*1\/(-4)*-4*1. Let x(d) = -2*d**2 - 3*d**3 + 4*d**2 + 2*d**2. What is r*x(j) - 4*v(j)?\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/898064 and 83\/96496.\nAnswer: 146384432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddsssdssssssd. Give prob of picking 1 d and 1 s.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 28. Let s be (-130)\/q*(-3)\/2. Suppose s*y - 426 = -46. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/16 + 196\/(-16). Let x be 2\/((-2)\/v) - 165\/55. Is x greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10000)\/180)\/(-50))\/((-3)\/27)*3*2?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 3:15 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 99171 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00128922073 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**3\/3 - 7*c**2\/2 - 2*c + 55. What is q(-9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 50 = -5*i - 296, 3*w + i = 352. Let v = w - 61. Suppose v = 2*j - 110. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52654 at most as big as -7055811\/134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -86, -83?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14659 at least 14658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**4\/4 - 2*h**3\/3 + 2*h**2 + 5*h + 15. Let k be a(-3). Solve -k*g = -5*u + 15, 4*u = 3*g + 22 - 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Let p(x) = -x + 4*x + t*x - 4*x. Let f(n) = 6*n. Calculate f(p(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 35475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (0 + -2 + -20). Let t = 33 - b. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:25 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142 + 143. Which is the second biggest value? (a) 0 (b) -8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**6\/5 - w**3\/6 - 10*w. Find the second derivative of j(i) wrt i.\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 22 = -4*c. Suppose 0 = 5*q + 15 + c. Suppose -u + 0*u - 7 = -4*t, -3*t = -6. Sort u, q, -5 in ascending order.\nAnswer: -5, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30653.41631 - -28061.3987. Let n = -2592 - h. Round n to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 6482680 = -170*l + 40*l. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2267.054s to microseconds.\nAnswer: 2267054000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192068, -383577, -575086, -766595, -958104?\nAnswer: -1149613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14126974 or -14127026?\nAnswer: -14126974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**5 + d**4 + d + 2. Let b(h) = 17*h**5 + h**4 + 161*h + 8. Let m(c) = b(c) - 4*q(c). What is the second derivative of m(r) wrt r?\nAnswer: 420*r**3 - 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 830, 2769, 6544, 12767, 22050, 35005, 52244?\nAnswer: 74379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let a be (-1)\/(-12)*2 + (-39)\/18. Sort a, j, -5 in ascending order.\nAnswer: -5, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 827 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 + -3.54. Let a = g - 0.06. Let o = 17 + -15. What is the second smallest value in -3\/8, a, o?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 276 = -2*l + 6*n, -5*l + 750 = -2*n. Calculate the remainder when l is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112.7 - -115.4. Which is the second smallest value? (a) 0 (b) x (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 7*l**2 - 8*l - 13. Let a be ((-8)\/(-10))\/((-20)\/(-200)). Let n be p(a). Let w be (-6)\/21 + n\/21. Put 3, -3, w in descending order.\nAnswer: 3, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2\/5, 2.39, -34.5 in descending order.\nAnswer: 7, 2.39, 2\/5, -34.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -15*f. Suppose 0*i + 2*i - 70 = f. Let r = 14 + i. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37539123.3 to the nearest 1000000.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 6*y + 1. Let l be c(-7). Let r(b) = 6*b + b**2 + 5 + 2 - 1. What is the units digit of r(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:47 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 15111\/409, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6687 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in 28, 2, -28, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**8\/420 - h**6\/120 + h**3\/3 - 1. Let x(d) be the third derivative of w(d). Find the third derivative of x(r) wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -3*a - 17, -3*a = -3*b - 5 - 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 5*w**3 - 3*w**3)*(-7*w + w + 3*w) + 0*w**4 + 6*w**4 - 4*w**4 + (-2*w - w + 4*w)*(w**3 + w**3 + 0*w**3).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2132113130?\nAnswer: 2132113132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 - 2)\/1)\/((-5)\/35). What is the highest common divisor of 98 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.5. Let q = d - -0.3. Let h = -0.01 - -3.01. Which is the closest to 0.1? (a) -0.5 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7774 (base 8) in base 11?\nAnswer: -3090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k - 9*k - 105*k - 12*k - 12*k + 153*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 745637*h**2*z**3 + 16*h**2*z**2 + 6*h**2*z - 359*h*z**2 - 2*h wrt z?\nAnswer: 4473822*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 3.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21782528347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 475 and 680.\nAnswer: 64600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89811, -91638, -93465, -95292, -97119?\nAnswer: -98946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 57?\nAnswer: -8\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (33 + -11 - 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**31\/b)))\/b)\/(b*(b*b\/b**(-35))\/b)*b\/b**(-18)*b**7 assuming b is positive.\nAnswer: b**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 162 + 12*c**2 + 9*c**2.\nAnswer: 24*c**2 - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 2*t - 3. Let i be (-32)\/(-6) + (-1)\/3. Let c be y(i). Solve 3*p + c = -2*x, 3*x + 3*p + 12 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1087796 - 1087796 + 13*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*m + 14. Suppose 0 = 2*z + 4 - m. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*q - q - 30, 3*q = 5*v - 10. Suppose 59 = 3*s - b, -v*s - 5*b + 101 = -4*b. Solve -4*r - u - s = 0, 0*r = -3*r - 3*u - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(sqrt(704) + -1)**2 + -5 - (((3 + sqrt(704))*-1)**2 + 2)).\nAnswer: -80*sqrt(11) + 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53878 and 688564.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, 15.3, 12, -1\/2 in decreasing order.\nAnswer: 15.3, 12, 0.5, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8604, 8691, 8778, 8865, 8952, 9039?\n\"Answer: 87*n + 8517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 1124*b + 9 + 146*b - 218*b - 791*b to x + n*b and give n.\nAnswer: -1987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.29 + 25.69. Let o = -1264\/65 - -98\/5. Which is the nearest to o? (a) 0 (b) 20\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*g + 22, 5*g = -4*s - 7 - 15. Let v be ((-10)\/45)\/(2\/g). Which is the nearest to v? (a) -0.02 (b) -4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*q - 737*q + 373*q = 752 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 12568205?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -2dd8ed?\nAnswer: -2dd8ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69 - -1a7?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 270765*s**2 - 11923565*s - 12194325.\nAnswer: 5*(s - 45)*(s + 1)*(s + 54197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from bvebtbbutubbtbtuutub.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2 + 6*z + 2. Let o(d) = d**2 + d - 1. Let j(l) = m(l) + 2*o(l). Find the second derivative of j(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77700 take away -0.18246?\nAnswer: 77700.18246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + -1 + (sqrt(637) + (sqrt(637) + -1)*-1 + sqrt(637))*-3 + 2)**2.\nAnswer: -42*sqrt(13) + 5734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147 + -129. Calculate the smallest common multiple of 22 and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 15 = -22. Let y = o - 28. What is the remainder when 26 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006729 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.22 times -3442?\nAnswer: 4199.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 777 divide 111890331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 33 = 2*v, 15550 = -2*v + 2*q + 15530 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(3\/((-24)\/(-4))). Let a(t) be the third derivative of -1\/6*t**3 + 0 + 0*t - 4*t**2 - 1\/6*t**f. Find the first derivative of a(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x + 9. Let c be a(-7). Let k be 2\/6 - 164\/c. Let l = 21 - k. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678 is divided by 93?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 364*f - 1447. Let w be l(4). Let b(y) = y. Let n be b(5). Put w, -5, 4, n in decreasing order.\nAnswer: w, n, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3*v + 27, -15*v - 36 = -10*v + 2*q for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r\/((r*r*r**(-1\/3)\/r*r*r)\/r))\/r)**(-35)*(r**2\/r)\/r**7)**(-1\/2) assuming r is positive.\nAnswer: r**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**7\/1050 + r**6\/100 - r**5\/25 + r**4\/12 - r**3\/10 + 17*r**2. Factor t(j).\nAnswer: -(j - 3)*(j - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1575 = 5*o. Let j = 151 - o. List the prime factors of j*((-14)\/4 - -3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.47 + 0.03. Which is the closest to 2\/9? (a) -4 (b) -2\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -5. Let w = z - -6. Sort 1, -0.1, w.\nAnswer: -0.1, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -17\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gogwddxwwdddnddd. What is prob of picking 1 o, 2 g, and 1 w?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22577 - -26290. List the prime factors of h.\nAnswer: 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -1626266850031.\nAnswer: -1626266850031.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1271 - 1271.07. What is the fourth biggest value in m, -0.2, 0.06, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, 0.2, 0.4, 2\/15?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*c + 5. Suppose 17 + 397 = 69*u. Suppose -d - 10 = 4*o, 0 = -2*o - 1 - 5. Solve k + u*s - s = 2, -d*s = -c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 4, r: 2, v: 4, o: 7}. What is prob of sequence rd?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + n - 12 = 0, -2 - 10 = -4*b + n. Suppose -8 = 6*k - 2*k + b*l, 2*k + 12 = -4*l. Suppose 0 = -k*v - 2, -4*v - 9 + 28 = g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18d1 - 1?\nAnswer: 18d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/4780448 and 55\/2976.\nAnswer: 14341344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2) - 540\/(-15). Let w be 4\/2 - 0 - -24. Let y be (-4)\/(-4) - w\/(-2). What is the greatest common factor of v and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13487150 and 188.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 623\/1513*(1 - 2). Which is the nearest to 0.1? (a) 2 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. What is the second biggest value in w, -2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 9*h + 23. What is c(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*y - 98*y - 2*y + 372. What is the third biggest value in 2.5, -3, -2, y, 10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*f - 3*c, c = -f - 2*c + 15. Solve f = -4*s + s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, -3\/5, 36, 0, -1, -0.344, 0.13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 124*w**2 - 1485*w - 38. Determine m(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (11 - -3) - 19 - 3) + 10.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6091603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/150 and -23\/855?\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(702\/(-384)) + (-1)\/(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 31) + 21 + 8\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1455\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 15 = 3*l, -5*l = y + 2*y - 9. Suppose 0 = j - 205 + l. Calculate the common denominator of -37\/18 and (-1)\/3*j\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7021 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + r**2 + 5*r. Let s(u) = u**2 + u. Let o be (-8)\/5 - (-80)\/(-200). What is o*s(n) + t(n)?\nAnswer: -2*n**3 - n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4007*o + 16024. Give p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 24*d + 2. Let m = 7 + -3. Suppose m*s - 3*i = -i, 3*s - i = 1. What are the prime factors of j(s)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 24 = -3*b, -2*x + 4 = -2. Suppose -b*n + 29 = -19. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -268*k**3 + 361804*k**2 - 122112900*k + 1822500.\nAnswer: -4*(k - 675)**2*(67*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374 and 396.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 4*l - 1530. Suppose 156 = i - l. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13810 is divided by 2734?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:50 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 15*z**4 - 309*z**3 + 864*z**2 + 3756*z + 1344 = 0.\nAnswer: -2, -2\/5, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24614 - 5425. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 108.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 253.6889 - 341\nAnswer: -87.3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-269104)\/(-16) + (-9)\/((-81)\/(-99))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*c - 0*k - 7, c + 3*k - 5 = 0. Let o(l) = 3*l**2 - 17 - 2*l**c + 17. Let h(a) = -a**2. Determine h(o(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004369 at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*b**3 + 86*b**3 + 32*b**3.\nAnswer: 329*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 29. Let d = u - -12.5. Which is the nearest to 3? (a) 0.2 (b) 3\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 + 7095\/(-45). Is ((-4)\/(-8))\/(3\/x)*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1082*a - 40360 - 99218 for a.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 30 + 6 = 0. Find the second derivative of 7*s + 1 + 36*s - 52*s**t - 70*s wrt s.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.047 in -2, -4\/3, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 4*n + 5*t, 318 = 5*n + 3*t - 144. Let o = -4526 + 4551. Calculate the remainder when n is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 2*i + 1. Let t be u(-1). Let k be -29 - (-9)\/(t - -3). Let h = 60 + k. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*h + 12, -v + 5*v + h + 4 = 0. Suppose v*r + 1\/5*r**2 - 1\/5 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 14*w**2 - 27*w + 32. Give l(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 83*p**2 - 77*p + 341. Determine m(-82).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265001187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 436, 722, 1008?\n\"Answer: 286*c + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-30)*20\/8.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, a: 1, e: 5, s: 3, y: 3}. What is prob of sequence ayyc?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -499*m - 341*m - 129*m - 507*m as p*m + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -229*a - 233*a + 704*a + 1625 - 239*a as y + o*a and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 + 0 + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*j + 105 = 0, 4*d + 2*j - 84 = -0*d. Suppose 9 - d = -4*m. Solve 4*t + m = k, -5*k = -5*t - k + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*y = -3*y, 5*m - y - 16 = 0. Suppose -4*x + 655 = x + m*j, 5*x - 625 = 2*j. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 302418*t*v + 57*t + 2381*v + 10778 wrt t.\nAnswer: 302418*v + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -5*m**6\/8 + 33*m**5\/10 + 3*m**4\/16 - 45*m**3\/2 + 27*m**2 + 4747. Let h(t) = 0. Calculate t.\nAnswer: -2, 0, 1, 12\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 1, r: 1, i: 1, u: 1}. What is prob of sequence ru?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -91. Let s = l + -5. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230837815 a multiple of 5389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - p. Let d(a) = 13*a**2 + 2*a - 12. What is -d(j) - 2*s(j)?\nAnswer: -11*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x**(5\/4))\/x*x*x*x\/x**0)\/(x**(-3\/8)*x*x**(-3\/4)))\/(((x*x**(-4\/7))\/x**5)\/(x**(2\/3)\/x)**(-2\/57)) assuming x is positive.\nAnswer: x**(95359\/9576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -23. What is the second smallest value in 0.2, -1, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**4 + r**3 + 1. Let k(h) = -2*h**4 + 6*h**3 + 4*h**2 - 12*h - 14. Let s(n) = 6*c(n) + k(n). Factor s(t).\nAnswer: 4*(t - 1)*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -6. Let x = -11 + 13. Which is the biggest value? (a) 1 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 - 13*n + 2. Let l(g) = 6*g**2 + 14*g - 3. Let u(t) = 4*l(t) + 5*s(t). List the prime factors of u(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n + 5 = 0. Suppose -6 = -r - 2*z, -z - 2*z = n*r - 16. Suppose 3*a + 2*f - f - 86 = 0, r*f = -5*a + 142. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 l, 1 o, and 1 q when four letters picked without replacement from {q: 1, l: 3, z: 4, y: 4, h: 1, o: 1}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.015, 0, -1\/148, -79?\nAnswer: -1\/148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/22858 and 89\/10390.\nAnswer: 114290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*v + 19. Let s(i) = i**3 + 100*i**2 - 170*i - 26628. Let f be s(-99). Suppose 0 - v*m**f - 12\/5*m - 4\/5*m**4 - 28\/5*m**2 = 0. What is m?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014 is divided by 286.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -5\/2*o**2 + 3*o + 0 + 1\/3*o**3. Give k(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1\/2, -0.3, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (6 - (-2 - -20))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699 + 298721*u**2 - 699.\nAnswer: 298721*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2956440\/11 smaller than -268766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + (sqrt(320)*2)**2*6 - ((-1*sqrt(320) + 3)*-2)**2).\nAnswer: 192*sqrt(5) + 6359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2 + 30436*i - 15702360 = 0. What is i?\nAnswer: -8094, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61344 and 3195?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/9))\/(g\/g**(-3\/7)*g))\/(g**(1\/4))**(1\/60) assuming g is positive.\nAnswer: g**(-6101\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*((-12)\/(-2) + -1). Suppose 0 = u*n - 2*n - 72. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 42, 59, 50, -3?\n\"Answer: -3*c**3 + 14*c**2 + 4*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 179.6, 14, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -493.593 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1409994442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 115 = 4*k, 19*o + 14 + 99 = 4*k + 14*o for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.12 + 8. Let t = 16387317 - 16387316.87999993. Let y = q + t. What is y rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 27*v - 68. Give z(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8206 - -8211. Let w(i) be the second derivative of 10*i + 0*i**4 - 3\/5*i**2 + 3\/100*i**o + 0 - 3\/10*i**3. Factor w(p).\nAnswer: 3*(p - 2)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 15*k**4\/4 + 3*k - 2. Differentiate a(y) with respect to y.\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 666\/4*1*((-5768)\/252)\/(-103)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 1\/3*q**3 + 2*q**2 + 0*q + 0 - 1\/24*q**4. What is n(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627634 divided by 724?\nAnswer: 313817\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 55 = -14*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 4*j + 4. Let x(g) = -5*g + 5. Let b(q) be the first derivative of -3*q**2 + 6*q - 34. Let o(w) = 4*b(w) - 5*x(w). Give -4*o(n) - r(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**4\/96 + 7*q - 4. Let z(n) be the first derivative of u(n). Find c, given that z(c) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 31*t**2 - 242*t - 29. Let r be n(-16). Solve -3*v + 4*l + r = -0*v, -5*v + 28 = l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*r - 96 = -3*x, 5*r = -15. Let c(l) = 18*l**2 + 5*l. Let o be c(4). Calculate the highest common divisor of x and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 = 108*f - 71*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from ohhooohzhhzhhhhh?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n - 1. Let i(p) = -7*p - 1. Suppose 0 = 18*f - 20*f + 16. Let v(h) = f*r(h) - 5*i(h). Give v(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 5*b**2 + 4*b - 6. Let y(p) = -p**3 + 8*p**2 + 12*p - 22. Let r be (-16 - -19)*(4 - 1). Let h be y(r). Give u(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqn when three letters picked without replacement from nqqnnnqqqqqnqq.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34288.19790977 + 34264.19791. Let a = -26 - -2. Let b = a - d. What is b rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 4\/5*z**5 + 3*z**4 + 17 - 4\/3*z**3 - 6*z**2 + 0*z. Factor p(x).\nAnswer: 4*x*(x - 1)*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 - 3 = p, p = 5*j - 5. Suppose p*r = 5*r. Let u = r - 1. Is u greater than 2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*k + 4*n = -11, -k - 3*n = 17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4832 and 11264.\nAnswer: 1700864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 667\/16 + -37. Let h = -740051\/24 + 30831. Calculate the common denominator of d and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5416 a factor of 110216681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 722, 720, 718, 716, 714?\n\"Answer: -2*r + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 s when four letters picked without replacement from kkkkcekkcccseckekk?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v - 9*v - 96 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/204 - ((-23)\/(-24))\/((-2329)\/(-15892))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17673*w**6 - 21842*w**2 wrt w?\nAnswer: 2120760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1726?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26.42332115 and -25.\nAnswer: -51.42332115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*y + 25. Let d = -11 - -6. What is the remainder when 174\/9 + d\/15 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0078183255 rounded to 5 decimal places?\nAnswer: -0.00782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62332776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2740*q - 10*q**3 - 2740*q.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36240 and 162.\nAnswer: 978480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189803170.\nAnswer: 2, 5, 61, 197, 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -43. Suppose 3*r - 16 - w = 0. Factor 5*m**3 + r*m - 6*m**4 + 5*m**5 - 10*m - 9*m**4 + 15*m**2 - 6*m.\nAnswer: 5*m*(m - 2)*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Let j = 7 + o. Put -3, -1\/3, j in descending order.\nAnswer: j, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 take away 1132071602?\nAnswer: -1132071549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-161)\/(-19) - 8)*192\/432?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18229.492 + -18136. Let b = x + -94. Round b to 2 decimal places.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*s = 7*t - 145050, -5*t = s - 362669. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1344 and 173.\nAnswer: 232512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2471 + 2466. Let g be (-1 + 7)*20\/30. What is the smallest value in h, g, 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k**6 - 3280*k**5 + 3301*k**2 wrt k?\nAnswer: -480*k**3 - 196800*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f - 272 = -109 + 116 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6424 divided by -44\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 44*m**2 + 118*m - 97. Calculate the remainder when 115 is divided by l(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = -2*n. Let l be (-4)\/n*(-9)\/(-6). Solve q + q - 2*d = -14, l*q - 4*d + 20 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.029 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 5, -1, -31, 1 in decreasing order.\nAnswer: 5, 3, 1, -1, -7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 22132?\nAnswer: -22201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107.158 - 16.196. Let h = f - 91. What is h rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*c + 6 - 9 + 285*c + 1 as q*c + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w**2 + 15*w + 13. Let m(u) = 4*u + 7 + 4*u - 3*u**2 + 8*u**2. Suppose -2*h - 33 = -5*h. Calculate h*m(j) - 6*c(j).\nAnswer: j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1233.485 + 1199.3. Let r = 34 + n. Let y = r - -0.102. What is y rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.00933 + 1.00932. Let s = 1.2 + -0.2. Let p = s + u. What is p rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.404 - -3.596. Let y = -1 + 0. Let k = y - -1.1. What is the biggest value in h, k, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 1:12 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333888 is divided by 2239?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 872413 divided by -23.\nAnswer: -37931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - 3002\/(-660). Let o = k + -8\/165. What is the common denominator of o and (4607\/(-136) - -19) + (-6)\/(-9)*9?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**4 + 517*b**3 - 206*b**2 = 0. Calculate b.\nAnswer: 0, 2\/5, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 833?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let x(c) = -c**2 - 4*c. Let w be x(-5). What is p(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9774\/4914 + (-4)\/(-26).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 + 2)*(4 + 3 - 5) - 2 + 3 - 2 + 0 + 2 + 5 + 4 + 2 - 4)*(0*k - 3*k + k)*(7 + 6 + 7)*(4*k + 0*k - 3*k) in the form g*k + a + u*k**2 and give u.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8081\/155 + -261\/5. Let t = 185\/1197 - 2\/171. Which is the closest to -0.1? (a) l (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14046 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 17*v + 200. Let o(x) = -58*x + 130. What is the hundreds digit of o(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*g - 20794 + 19419 = 0 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5764, 5767, 5772, 5785, 5812, 5859?\n\"Answer: g**3 - 5*g**2 + 11*g + 5757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13\/159 - 22\/53. Let m = 812 - 4871\/6. Let l = -0.06 - -2.06. Which is the nearest to l? (a) k (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1496 by 22.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 3. Let w = 5 + n. Let s be (w - (-2)\/1) + -1. Solve s*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43084 + -18900. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171090117 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.7 (b) -2\/13 (c) -1\/9 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 411 = -347 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 + 67*w + 2. Determine c(33).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.471433614 minus -6634.6?\nAnswer: 6635.071433614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20919 is divided by 1898.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3 - 135*o + 134*o + 3. Let w(b) = -6*b - 4. What is -5*r(n) + w(n)?\nAnswer: -n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6557273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = u - 2238, 2*u - 5*m - 4468 = -7*m. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90088?\nAnswer: 2, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3238019.069 rounded to the nearest one thousand?\nAnswer: 3238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -875, -1724, -2573?\nAnswer: -3422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011011010 + 1?\nAnswer: 110011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48280.3 - -48283.17183. Let k = l + -2.87. What is k rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -29. Suppose -3*m - 2*f = -0*f + 2, 0 = z*m - 2*f - 16. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let s(y) be the second derivative of 14*y**3\/3 + y**2 + 1741*y. Give o(s(v)).\nAnswer: 56*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**3 + 18*y - 18. Suppose 7*l - 5*l - 137 = 43. Let n(w) = -w + 1. Give l*n(s) + 5*b(s).\nAnswer: 30*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**2 - 43*j**2 + 27*j**2 - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) - sqrt(400)*1*-1)\/((sqrt(110)*-2)\/sqrt(11)))\/((sqrt(512) + (sqrt(512)*1 + sqrt(512))*-3 + sqrt(512) - sqrt(512))*4)*-1.\nAnswer: -sqrt(5)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 352 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3))**(-38))**(1\/37)\/((g*(g\/((g**16*g)\/g))\/g*g)\/(g\/(g\/(g**(1\/4)*g))))**12 assuming g is positive.\nAnswer: g**(6847\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*o - 21*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 15, 2*f + 2*q - 4 = -0. Let r be ((-6)\/f)\/2*7. Find the second derivative of -3*j**3 - 7*j**3 + 2 - 2 - r*j wrt j.\nAnswer: -60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 61*y - 549. Give l(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**8*v\/(v*v**2\/v))\/((v\/(v\/v**(-6)))\/(v*v\/(v**(-8)*v)))*(v**(-4\/7)\/((v\/v**(-8))\/v))**(-40) assuming v is positive.\nAnswer: v**(2456\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.6562 to 1 dp.\nAnswer: -18.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -44, -100, -180, -284?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180599246 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 17*s - 41. Let p(u) = -4*u + 10. Determine 2*m(g) + 9*p(g).\nAnswer: -2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 19.2. Let i = 1.4 - p. Let o = i + -4.6. Which is the third biggest value? (a) 4 (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let x(j) = -43. Calculate -2*f(n) - x(n).\nAnswer: -2*n + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + (-3*sqrt(98))**2 - sqrt(98)) + 4 + 5.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 7:49 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -1\/4, -1\/2, -0.01, 4, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(1 + -1 + 2). Suppose w - q*w + 4 = 0. What is the derivative of w*l + 8 - 7 - l wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1106, 0, -11 in decreasing order.\nAnswer: 1106, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - 8. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -273824*z**4 - 333*z**3 + 44*z**2 + 2313798*z + 1 wrt z?\nAnswer: -6571776*z - 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28.8540382 and -5?\nAnswer: 23.8540382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 34*f**2 - 4*f + 7. Let k(w) = -34*w**2 + 3*w - 6. Let g(p) = -3*p**2 + 254*p + 2637. Let a be g(94). What is a*k(j) + 4*r(j)?\nAnswer: -34*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2251 times -20\nAnswer: 4.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(192\/36) - 2\/(-8)*-2. Sort -4, r, 0.1, -0.2, -20 in descending order.\nAnswer: 0.1, -0.2, r, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/(-49)*(-14)\/4. Suppose 2*f + 5*j + 1 = 2*j, -4*f = r*j - 18. Solve -g = -4*l + f, -4*g + 3 = -l + g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 7*x**2 - 10*x - 3. Let y be h(-8). Let u = 4 - y. Find the common denominator of -63\/8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**3 + 4*g**2 - 2. Let y(b) = 8*b**2 + 165*b - 6. Let d(t) = -t**3 - 9*t**2 - 198*t + 7. Let w(s) = -5*d(s) - 6*y(s). What is -3*j(k) - 4*w(k)?\nAnswer: -5*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - i**2 - 50*i + 19*i + 28*i + (10*i - 11*i + 7*i)*((-2*i - 2 + 2)*(2 + 0 - 1) - 2*i - 3*i + 4*i).\nAnswer: -19*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1452 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + (1*sqrt(396)*-5 - -3*(-1 + sqrt(396))))**2)*-4.\nAnswer: -6340 - 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - g)*(2*g**3 + 0*g**3 + 2*g**3) + (-g**2 + 2*g**2 - 3*g**2)*(-2*g + g**2 + 2*g).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1214573.48 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1\/4 (c) 1\/3 (d) 509 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, 3, 55, 131?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 72 = -50 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1697 - -1697.1. Let j(y) = 3*y - 28. Let z be j(8). Which is the closest to -2\/9? (a) z (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/3, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1\/(-2)*-124. Let j be v\/(-8)*(4 - 0). Let z = -15 - j. Solve -5*i - z = -3*i + 5*o, 4*o = 4*i + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*l + 349 - 398*l**2 - 1051 + 352 + 334 wrt l?\nAnswer: -796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -153 and -142472 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 280 = 3*j. Let h = -72521\/22 + 3297. Find the common denominator of 2\/3*705\/j and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.3. Let d be ((-123)\/5535)\/(1\/(-10)). Which is the third biggest value? (a) g (b) 1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 9:56 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89\/22 - 3\/55. Let c = -30 + -10. What is the common denominator of (152\/c)\/(2\/(-3)) and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.01 + 34. Let j = -2.2 - -4.2. Which is the second smallest value? (a) j (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000074273157 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**6\/33 - 7*d**5\/110 + 3*d**4\/11 + 28*d**3\/33 + 8*d**2\/11 + d + 18. Let w(c) = 0. Calculate c.\nAnswer: -2, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1*8\/12). Let o be (-1 - 4\/(-3))*30\/10. Solve o + g = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 767 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 3. Let b be x(3). Let q(w) = -3*w + 5. Let z(j) = -3*j + 6. Determine b*q(l) + 5*z(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -g + 9 + 23, 3*i - 4*g + 29 = 0. Let a = 8 + i. Let d be 296\/3 - 1\/a. What is the greatest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*p - 5*s + 197, 3*p - 3*s + 195 = 0. Let h be 6\/(-36) - (-4030)\/p. Let r = h + 140\/11. What is the common denominator of -23 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 24*d - 83. Let j be n(4). Solve 8*a - j = 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 44*p + 190. Determine y(38).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 74\/3 of a decade?\nAnswer: 2960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9951742?\nAnswer: 2, 37, 181, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 359?\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -33*m**3 + 12*m**2 + 4*m + 2. Let j(f) = f**4 + f**3 - f - 1. Let s(u) = 2*j(u) + z(u). What is the third derivative of s(o) wrt o?\nAnswer: 48*o - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 (base 6) in base 8?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 664108 times 4\nAnswer: 2656432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226189 + -0.057.\nAnswer: 226188.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 143536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -14*(-3)\/14 - -41. What is the greatest common factor of d and 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, -14, 1.\nAnswer: -14, -5, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 37 - 28, -3*c + 27*w + 31*w + 21 = -204 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 50 - 3) + (16 - 4).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l - 55 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 0 + o + 5*o**2 + 0*o + 7 + 3*o**2 - o**3. Calculate the remainder when i(8) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7942 is divided by 1881?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*y - 24, 5*y + 26 = 2*q + 1. Let z = 151.7 - 152. Put z, -5, q, -0.4 in decreasing order.\nAnswer: q, z, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3. Suppose m = 2*c - 4*c. Solve -5*d + 5 = -c*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-791673)\/236113)\/((-6)\/34)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**5\/20 + b**4\/3 + 11*b**3\/6 + 2*b**2 - 34*b. Let f be w(6). Let i(d) = 2*d**2 + d - 2. Determine i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(((-41998)\/(-2116))\/83)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 0*w**2 + 104 + 0*w + 1\/3*w**3. Let x(u) = 73*u**2. Give s(x(g)).\nAnswer: 5329*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 0.7. Which is the nearest to j? (a) -4\/3 (b) 1 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 45. Suppose 85 = 5*f + 3*y - 108, -4*y = -f + c. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 21 = 5*q. Let n = 10 + q. Suppose -w + 6 + 31 = 4*t, -n*t - 2*w = -14. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -32*k + 5*k**3 - 160*k**2 + 124*k + 1736*k**4 + 52*k - 4*k**5 - 25*k**3 - 1696*k**4 = 0.\nAnswer: -2, 0, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*a - 12 - 4*a**2 - 3*a**2 + 94*a - 191*a in the form z*a**2 + p + d*a and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osoo when four letters picked without replacement from {s: 17, o: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46716 and 29274?\nAnswer: 13407492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -19\/3, -4, 0 in decreasing order.\nAnswer: 0, -0.3, -4, -19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 8*h to f*h + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72.6 + -72.9. Let q = 5 - 8. Which is the closest to -2? (a) p (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k - 28*b - 140 = 0, 0 = -2*k + 4*b - 2*b - 6281 + 6291 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1323) - (sqrt(1323) + 2 + sqrt(1323)))*4 + 4*(-3*sqrt(1323))**2)*3.\nAnswer: -252*sqrt(3) + 142866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1239478652?\nAnswer: 2, 309869663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 - 142. Let c(b) = b + 9. Calculate the least common multiple of t and c(9).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1585420729 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89726.61 decades to millennia.\nAnswer: 897.2661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1364.88077 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -26, -57, -102, -161, -234, -321?\n\"Answer: -7*z**2 + 4*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z = -65*z - 20. What is the units digit of (3 - 325\/z)*-16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/2, -1513, 6, 0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*v + 10, -u + 0 = 3*v - 14. Solve v*a + 4 + 11 = 5*r, 5*a = r - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1087)*(-6)\/81. Let u be ((-12010)\/1291356)\/((-2)\/694). Let i = u - m. What is the common denominator of i and -73\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2461 (base 8) in base 3?\nAnswer: -1211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5192*a**4 + 6585*a**2 wrt a?\nAnswer: -124608*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -9) + -4 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -3*l - 9*v + 27, 0 = 5*v. Let k be 4 - ((-20)\/5 + l + -5). Solve -2*r - 6 = -3*n, 5*r - 5*n = k*r - 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 51 (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 290275 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71.77416l?\nAnswer: 71774.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 22 - 22) + -10 + -3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 = 1. Let w = o + 5. Suppose z - w = 2. Calculate the highest common factor of 104 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 - -108.2. Let s = 17.87 + -18. Let v = n + s. What is v rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 (base 10) in base 16?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08707 and 1039987?\nAnswer: 1039987.08707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (-1*sqrt(77) + sqrt(77))*5 - (sqrt(77) + sqrt(77)*2)*6)\/(sqrt(56)\/(sqrt(72)\/sqrt(576))).\nAnswer: -17*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 4*m + m**2)*(2 - 3 + 2)*(131*m + 243 - 243) as s*m**2 + i*m + o + h*m**3 and give h.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14976 + -14876. Solve -c = 26*n - 46*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413804021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93634, 187265, 280896, 374527?\nAnswer: 468158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*t, 2*t = 3*f - 4*f - 6. Suppose -3*a + 2017 = 5*s, -2*s - 781 = -f*a + 585. List the prime factors of a.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 divided by 27\nAnswer: -67\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -10140 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 37*b**2 - 2*b + 2. Let v be k(1). Let d = -15 + v. Suppose c - 3 = 4*l + 1, 3*l + d = -4*c. Let f(m) = 3*m + 1. Give f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -183363064429.\nAnswer: -183363064434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**6 + 3007*a**3 - 16*a**2 + 15*a wrt a.\nAnswer: 360*a**3 + 18042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*((x*x**(-14\/9))\/x*x)\/x))**50)**(-1\/21) assuming x is positive.\nAnswer: x**(-1150\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/(-3)*(-11)\/((-286)\/546)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:12 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**2 - 11*h**2 - 18*h**2 + h**2 + 9*h**2.\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73 + 16066?\nAnswer: 15cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 - -53?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2.7. Let p = n + -4. Let m(u) = u**3 + 4*u**2 + 3*u - 3. Let j be m(-3). Which is the nearest to 1? (a) j (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ejefjbfbe?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241438 is divided by 784?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2528564264 to the power of 1\/4, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - u + 0*u)*(-3*u**3 - u**3 + 3*u**3) + 8443*u**2 - 8443*u**2 + 5*u**4 - 11*u in the form j*u**3 + l*u**4 + y*u**2 + s*u + v and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(4\/(-3)) + 2. Suppose 4*r - g*v = 28, 3*r = -5*v + 1 - 15. Let l(b) = 0*b + 0*b**r + 0*b + 6*b**2. Let s(z) = z**2. Give -2*l(u) + 11*s(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**3 + 582*r**2 - 14*r - 25284. What is z(116)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3 + 3)*(-2176*v - 2085*v + 3214*v)*(-1 - 3 + 3) + 5*v + 2*v**2 - 5*v.\nAnswer: -1045*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 359392949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968600 is divided by 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 600 = -3*h + 6*h, 5*h - 2*j = 1028. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 369 (base 15) to base 2\nAnswer: 1100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 2*i**2 - 1. Let o(f) = 4*f**3 + 16*f**2 - 8*f - 2. Let t(c) = -5*a(c) + o(c). Suppose -2*l = -k - 4*l - 1, -5*k + 13 = 4*l. What is t(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8741*l - 17474*l + 8732*l + 32. Determine w(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -0.2 (c) 25\/93 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p**2. Let k(r) be the second derivative of 7*r**5\/120 + 37*r**3\/6 + 14*r. Let n(s) be the second derivative of k(s). Give n(o(t)).\nAnswer: 63*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -41815 greater than or equal to -41817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 15*q**2 - 43*q + 2. Let p(c) = -31*c**2 + 89*c - 5. Let o(s) = 13*m(s) + 6*p(s). Is 2 a factor of o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*v**3 + 2 - 141*v**2 + 0*v + 142*v**2 + 2*v as g*v + n*v**2 + x*v**3 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.7. Let d = 1 + -0.9. What is the nearest to d in -3, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + 0 + sqrt(98) - (sqrt(18)\/sqrt(3) + sqrt(6))\/sqrt(3).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 6. Let b(d) = d**2 + 11*d + 21. Let h be b(a). Suppose -3*m - 3*n + h = 0, 5*m = -0*n + 2*n + 19. Sort m, -3, 1 in descending order.\nAnswer: m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11832 (base 11) to base 8\nAnswer: -41117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-31)\/(y\/(y*y*y*y**(2\/3)\/y*y*y))**(1\/3))**(-11) assuming y is positive.\nAnswer: y**(-121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.7 + 12. Let y = i + 0.7. Which is the smallest value? (a) -4 (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**5 + 4*t**5 - 5*t**5)*(1 + 2 - 1) + 22*t**5 + 26*t**2 - 26*t**2 - 717*t**5 - 3*t**3 + 239*t**5 + 3*t**3.\nAnswer: -454*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d + 1 + 7*d**3 - 3*d**2 - 2 + 8*d**3 + 2*d**2. Is 23 a factor of b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**5 + 502*o**3*v - 2*o**2 - 16801*o*v wrt o?\nAnswer: -60*o**2 + 3012*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/4 + 1645*g\/4 + 1643\/2 = 0. What is g?\nAnswer: -1643, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2969818 grams?\nAnswer: 296981.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 4. Let o be a(5). Let c be ((-14)\/(-6))\/(2\/o). Let j = -2589997\/5 - -518000. Put -2, c, j, -0.1 in decreasing order.\nAnswer: j, -0.1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {k: 5, y: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626 - 202 = 92*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3175 a factor of 4044009215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -226. What is the highest common factor of j and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(8\/7)\/m)\/m)**(-1\/13) assuming m is positive.\nAnswer: m**(-1\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11360464.\nAnswer: 2, 47, 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 24*c - 26486000. What is c rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 7. Let o be d(4). Let b be (28 - 26)*(-1 - o*2). Put 1, b, 3 in ascending order.\nAnswer: 1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 60, 0.3, 5, -6, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -211, -413, -613, -811?\n\"Answer: d**2 - 205*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2\/3*o**2 - 1\/6*o**4 + 0*o + 2\/3*o**3 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**4*m + 4*k**3 - k**2*m + 38*k**2 - 3572*k*m wrt k?\nAnswer: -36*k**2*m + 24*k - 2*m + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-12) + (-100)\/16. Let o = 9 + k. Factor 0*l + 3 + 0*l - 44*l**2 + 41*l**o.\nAnswer: -3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 11, -2\/3, 0, 3\/8, 1085, 2\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + 1.98. Let w = k - -22. Let i = 23.999932 - w. What is i rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -841, -1681, -2521, -3361?\nAnswer: -4201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/78, 5\/2, 4\/3, -1\/2, 2\/3, -4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 380*x**2 - 59*x**2 - 10 + 24.\nAnswer: 321*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 + 12*o**3 - 183*o**2 - 17*o**3 + 67*o**2 in the form q*o + g*o**2 + v*o**3 + z and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -232 - -18b?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6270000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 + 203592*w\/5 + 203602.\nAnswer: -2*(w - 101801)*(w + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, 37, -6 in ascending order.\nAnswer: -6, 37, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6191 divided by 123.\nAnswer: 151\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**5 - 936*b**4 + 3705*b**3 - 2760*b**2 - 3708*b + 3696 = 0?\nAnswer: -1, 1, 2, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153 - 380 + 14263428*f - 14263394*f to j*f + y and give y.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 93. What is the greatest common factor of 17 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h**2*j**3*o**2 - 2*h**2*j**3*o + 2*h**2*j*o + 3*h*j**3*o - 74*h*j**3 - 113*j**3*o**2 + 2*o**3 + o wrt o?\nAnswer: 16*h**2*j**3 - 226*j**3 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 - 1)*(f - f + 3*f) + 0 + 0 - 2*f + 0 + 0 + f)*(4*f**2 - f**2 - 5*f**2) to the form b*f + y + v*f**2 + i*f**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101\/174 + -12\/29. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/2)\/(75\/120). Solve 6*n = -5*k + 4*n - 10, -2*k - l = n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1000781*r**2 - 1916462*r.\nAnswer: 2001562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 19. Let x be (-8)\/28*14\/6. Let s = 0.1 + -0.2. Which is the nearest to s? (a) x (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = g + 8, -g = 2*g + 3*t + 12. Let r(j) be the second derivative of 0 + 0*j**2 + 2*j + g*j**4 - 1\/30*j**5 + 1\/45*j**6 + 0*j**3. Factor r(n).\nAnswer: 2*n**3*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*m**2 + 3666*m + 1048.\nAnswer: -(m - 524)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 55 = 421. What is the remainder when j is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/15.\nAnswer: 2*x**5\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 2*c**2 + 2*c - 2. Let t be v(2). Suppose t*j + j = 0. Suppose 0 = 5*d - 3*r - 75, -2*r + 12 = 3*d - 14. Solve o + 2*o - d = j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/23, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 13*n + 3. Calculate f(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*q + 5*s, s - 1 = -0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 3, 0.05, -3\/8, -37, 2, 0.3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (11184\/42872)\/(9\/23)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 474101184?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2. Let o(s) = 12*s + 1. Determine j(o(p)).\nAnswer: -288*p**2 - 48*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 d when three letters picked without replacement from {d: 4, y: 1, q: 3, z: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 2424403532?\nAnswer: 2424403530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) + 1 + sqrt(275)))*6*-1 + -5)**2.\nAnswer: 60*sqrt(11) + 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 + n**2 + n - 55. Give l(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111111000011100101 + -100?\nAnswer: 10111111000011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 415\/24 - 3517\/168. Let l = -271\/103 - -229949\/87241. Let f = 39841\/6776 - l. Find the common denominator of v and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*s + 1 + 13, -2*s + 4 = -2*r. Suppose 0 = 3*m - 7*m. Suppose -2*z + 20 = 2*z. Solve m = s*b + b + z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00114102 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 a when four letters picked without replacement from aaaeaaaaeaaeaaaa?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w - 2*r + 88, 4*r + 34 = 2*w. Suppose c - 2*c = -w. Suppose 2*t - 5 = v - c, -5*v + t + 62 = 0. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 10:10 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -27. Let y = 36.068 + a. Let s = y - 0.103. What is s rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.055 + 16.455. Let o = r - 16.4000087. What is o rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**10*z\/z**(-11))\/((z**3*z)\/z)**46 assuming z is positive.\nAnswer: z**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 23181619.\nAnswer: -1\/23181619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 17. Let x be g(5). Let t(y) = -5 - y**3 + 6*y**2 + 7*y + 8*y**x - 8*y**2. Give t(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40774*l**5 - 3*l**2 - 1004985*l wrt l.\nAnswer: 815480*l**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)\/sqrt(3))\/sqrt(9)*-2)\/(sqrt(24)\/(sqrt(12) + sqrt(108) + sqrt(12)) - (1*sqrt(4) + sqrt(4) + sqrt(4))\/sqrt(2)).\nAnswer: 5*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d + d**2 + 0*d**5 + 0*d**3 + 7\/15*d**6 + 0*d**4 + 0. Differentiate c(v) wrt v.\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/3995122 and -41\/5749078?\nAnswer: 235712198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 + (-87428 - 4)\/(-12) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11*h - 2. Let n(a) = -32*a + 5. What is 8*b(o) + 3*n(o)?\nAnswer: -8*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 20*g - 3*f + 21 = 0, -4*g - 31 = -5*f. Sort 49, -5, g, 4.\nAnswer: -5, g, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -152.1493 and 114.9.\nAnswer: -37.2493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 3)\/((-4)\/32). What is the first derivative of -b - 4*z**4 + 4 + 6 wrt z?\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-r - 2*r + 8*r) + r + 2*r + 0*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/9 - 15293894\/(-4653). What is the greatest common divisor of u and 346?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + n + 3, -z + 0*z + 7 = -5*n. Let u be 3 - ((-6)\/(-3))\/z. Suppose -11*s = -12*s + 4. Solve -3*y + s = -2*c, -u*y + 4*c - 4 = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/68 at most -1625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*x**2 + 47*x**2 - 73*x**2.\nAnswer: -107*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166 or 500\/3?\nAnswer: 500\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 4*x - 5, 4*x = 3*x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 118854520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 0.5 (c) 2 (d) 21 (e) 873.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -377 (base 11) to base 13.\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2. Let s(r) be the first derivative of 0*r - 16\/3*r**3 + 0*r**2 + 1. Calculate s(w(f)).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 14*t + 52. Calculate r(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5446.27508 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 - -2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-2\/31)*(h\/(h*h\/((h\/(h*h\/h**(1\/5)*h))\/h)))\/h*h*h*(h\/h**(-1\/7))\/(h**(-9)\/h) assuming h is positive.\nAnswer: h**(10067\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6126*t + 2387971 - 2387971 to the form u + c*t and give c.\nAnswer: 6126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b + 2. Let l be p(0). Let c(n) be the third derivative of 0*n - 2\/3*n**3 - 2*n**l - 1\/24*n**4 + 0. What is c(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294955 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0654? (a) -0.02 (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a centimeter in millimeters?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -4, -3, 0, -94 in increasing order.\nAnswer: -94, -12, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -42172 > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28752?\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3417 != 0.16751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/127, 1\/6, -0.1, -0.06?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qul when three letters picked without replacement from qllulluqq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 79*h**2 - h. Let c(d) = 18*d. Determine c(k(o)).\nAnswer: 1422*o**2 - 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 4*w + 4*w - 2*w - w + 5*w + (-3*w + w + w)*(1 + 2 - 2) + 2*w - 1 + 1 + 2*w + 2 - 2 + w + 3*w - 5*w to the form a + d*w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7571*f - 177574*f**3 + 169*f**2 - 169*f**2 - 7571*f.\nAnswer: -177574*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 26264847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 412 and 884?\nAnswer: 91052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*a - 7*a - 16, 20 = 5*a. Let w be (2 + -3)\/((-3)\/c). Let t = -4 + w. Solve 5 = g - t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1819 and 102?\nAnswer: 10914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334119 is divided by 210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w - 1. Let c(i) = i - 1. Let t = -25 - -24. Let g(b) = t*j(b) + 5*c(b). Suppose -29 + 9 = -5*d. Determine g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 5*t**3 - 206 + 94*t + 5*t**2 + 207.\nAnswer: t**3 + 5*t**2 + 94*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, -417.\nAnswer: -417, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 9:37 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 5*n - 9. Suppose p + p + 3*q - 600006 = 0, n*q - 300006 = -p. Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 7:20 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + 4. Let i(b) = -3 + 2*b + b - x*b + 5. Calculate the remainder when i(-10) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25119 * 5.\nAnswer: 125595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -136435*g*t**2 - 353*t**2 - 6*t + 4 with respect to g.\nAnswer: -136435*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25458, 25416, 25374, 25332, 25290, 25248?\nAnswer: 25206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-8))\/(15\/(-145830)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 9:28 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 27. Let t(g) = 6*g + 4. Let s be t(7). Suppose -s = -5*z - u. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12040956 and 590?\nAnswer: 60204780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, -0.93 in descending order.\nAnswer: 10, 4, -0.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5096920 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (0 - 1)) + (37 - 44)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459485 is divided by 2085?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/8, 136\/9, 41 in descending order.\nAnswer: 41, 136\/9, -13\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7961\/6 - (-20)\/(-24)?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Is 3 a factor of (z\/6)\/((-3)\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -246053 + 159097. Let h = w + 146956. What is h rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 + 10*u**2 - 9*u + 3 - 7*u**2. Let w be y(-7). Suppose -673 = -5*g + 262. Calculate the greatest common factor of g and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-15)\/(-3 - -8). Suppose k = -2*r + 10, 5*o - 2*r - 33 - 22 = 0. Find the third derivative of -311*x - o*x**2 + 311*x - 14*x**3 wrt x.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, n: 2}. Give prob of sequence ngg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1176*f = 1177*f - 34. Find the common denominator of f\/23*42\/126 and 43\/24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 4*o + 1. Let i = 36 - 30. Suppose 5*m = -m + i. Let n be 7 + (6\/(-2) - m). Calculate t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 > -21\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -152*o - 3064. What is the tens digit of y(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*w + 8, -3*w + 20 + 9 = 4*y. Calculate the remainder when 389 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10920824.\nAnswer: 2, 1365103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d - 74320233*d**2 + 5 + 74320229*d**2 - 2. Let o(i) = -7*i**2 + 9*i + 5. Give -6*o(n) + 10*p(n).\nAnswer: 2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -10. Solve -3*g - 2*c - n = 0, 4*g + 4 = -0*c + 4*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7317 (b) 2 (c) -14200 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**3 + 3*h**2 + 3*h - 3. Let j(g) = -141*g + 74*g - g**2 + 17*g**2 + 80*g - 13 + 20*g**3 - 3*g**2. Determine -26*b(x) + 6*j(x).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2091692.926 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12691158*t**2\/5 + 50764628*t\/5 + 16\/5.\nAnswer: -2*(t - 4)*(6345579*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 + -75.48. Let l = 11067.88 + -11038. Let i = q + l. What is i rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10*t = 0. Suppose t = 2*u + 10 + 30. Let j = 38 + u. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7180817?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*o + 11. Suppose o*q = -5*q + 35. Let u(j) = j**3 + 6*j**2 - 6*j + 5. Let i be u(-7). Sort -4, q, i in increasing order.\nAnswer: -4, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6427? (a) 2 (b) 1 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-100)\/(-30)*(-2 + 53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*i**2 + 39*i**2 + 24*i**2 - 76*i**2 + 30*i**2 - 36*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/5 + 309*s\/5 + 77\/5.\nAnswer: (s + 77)*(4*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = -a - 17, f + 5 = 3*a. Suppose -f*p + 2*j = -110, 0*p - 108 = -4*p + 4*j. What is the greatest common divisor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/442 and 95\/359244.\nAnswer: 4670172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + -2 + 6 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -997.\nAnswer: -2\/997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7650 (base 15) in base 4?\nAnswer: -12013122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1909.784105 rounded to the nearest 10?\nAnswer: -1910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55.1 - 55. Is -9 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 4. Let b(s) = 5*s**2 + 405*s - 3. What is b(f) + 2*l(f)?\nAnswer: f**2 + 405*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004752 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, h: 2, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntu when three letters picked without replacement from {t: 3, n: 2, u: 1, x: 2, g: 4, m: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 71770917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*b - 2033 + 881 = 0 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/3*(((-1215)\/(-54))\/9)\/((-1)\/(-6)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2166972.\nAnswer: 2, 3, 89, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 17 = -3*t - 1, 26 = 3*y - 2*t. Suppose y*c = 4*c + 44. What is the remainder when c is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001111010011111 (base 2) in base 11?\nAnswer: -107a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-65))\/(3\/30) - 11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-47)\/(799\/340).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 + 143*t**2 + 70*t + 182. What is r(72)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 46, 59, 64, 61, 50, 31?\n\"Answer: -4*g**2 + 33*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o + 4*o + 12837 = -12507. Is o a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -95*s**5 + 1510*s**4 + 1775*s**3 + 170*s**2 = 0.\nAnswer: -1, -2\/19, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/7)*g)\/(g*g**(-3)*g)*g\/(g\/(g\/(g**3\/g)*g))*g\/(g*g**(4\/7))*(g\/((g*g**(-2)*g)\/g))\/(g*g*g\/((g*g**2*g)\/g)*g)*g**45 assuming g is positive.\nAnswer: g**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Does 1325 divide 2302568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 13*r = 63. Let i(m) = m**2 + 20*m - 16. Let d be i(r). Suppose -3*v = -j - 2671, 4*v - d*j = v + 2687. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6922*a**4 - 389 wrt a.\nAnswer: 27688*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 1 - (97 + -105).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/4847, 2\/5, -5 in ascending order.\nAnswer: -5, -8\/4847, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(-40)\/(p**(-2)*p)**(11\/7)*((p\/(p**2*p))**(-8))**(-3\/4) assuming p is positive.\nAnswer: p**(61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 61.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/(42\/15).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**3 + 22*j**2 + 82*j + 4. Is 32 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 66 = -i. Suppose -b + i = -5*y - 0, -5*b + y = -285. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-100)\/(-40) - (-6)\/4 - 30\/5. Which is the nearest to u? (a) -4 (b) -1\/8 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 6264*k - 119738.\nAnswer: 2*(k - 19)*(k + 3151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, p: 5, m: 4}. Give prob of picking 3 p and 1 m.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(16)\/(sqrt(72)\/sqrt(9)) + 1 - (sqrt(2) - (sqrt(98) + 1) - sqrt(10)\/sqrt(5)*-4))*3)**2.\nAnswer: -792 - 432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 + 7*p + 30. Let d(s) = -s**2 + 4*s + 15. Let v(q) = -9*d(q) + 4*l(q). Suppose 149*x + 707 = 111. Is 11 a factor of v(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/2 + 20*n + 39\/2 = 0.\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/4)\/((m**2*m)\/m)*m**(2\/25)\/m**7*(m\/m**(2\/11)*m*m**8)\/(m**(-2))**(-2\/27) assuming m is positive.\nAnswer: m**(29701\/29700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5.5. Let k be (-45)\/(-6) - 1\/2. Let j be (-2)\/7 + 2\/k. What is the closest to 0.1 in j, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:00 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/75 and 16\/6117.\nAnswer: 152925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63538*p**6 - p**4 + 4612*p**2 + 2*p wrt p?\nAnswer: -7624560*p**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456a8 (base 12) in base 13?\nAnswer: 331a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1027991 - 68005 = -66*d. List the prime factors of d.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Let j = c - -6. What is the remainder when j is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 1. Let q(w) = 44*w - 8. Calculate q(j) + 10*v(j).\nAnswer: 34*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**3 - 48*j**2 + 70*j - 46. What is k(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 3*m - m + 14 - 3 + 3*m. Let j be o(0). Suppose 267*z + 44 = 271*z. Is z <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q**4 + 27*q**3 + 18*q**2 - 15*q = 0. Calculate q.\nAnswer: -1, 0, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -55, -80, -101, -118, -131?\n\"Answer: 2*o**2 - 35*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 7*c**6\/10 + 17*c**3\/6 - 16*c. What is the second derivative of m(t) wrt t?\nAnswer: 252*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4763 and 6875?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 15 = j, 5*i + 4*j - 45 = 0. Let y(l) = -25*l + 277. Let g be y(11). Suppose -4*k + 1070 = -0*r - i*r, 0 = -g*k + 5*r + 540. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let g be w(2). What is the first derivative of -3 - i + 0*i + 3*i**g + i wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2281 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*m**3 - 40*m**2 - 17*m + 12.\nAnswer: -(m + 1)*(m + 3)*(11*m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, -12, 270?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/(-3) - 4)*-3. Is 21434 + 12 + 63\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 3*a - 5*a + (-1 - 1 + 4)*(0*a - 2*a + a) - 3 + 3 + a - 4 - 2*a + 4 + (6 + 2 - 3)*(4*a - 2*a + 0*a) + 3 + 1 - a + 5*a.\nAnswer: 10*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 4*o - 3*m, 0 = m + 2. Let k(b) = -10*b + 26*b - o*b. Let p(g) = -14*g**2. What is p(k(v))?\nAnswer: -56*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 7*o - 232 = 2*d, 5*o + 4*d - 256 = 0. Suppose -3*h + o = 21. Calculate the remainder when 14\/(-3)*(-5 - -2) is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.107 and 14763?\nAnswer: 1579.641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37446124 divided by 6\nAnswer: 18723062\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2880\/11475 + (-2)\/15?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b**(2\/3))\/((b\/b**(-6\/7))\/(b**(-6)*b))*b**(2\/13)*b**(-5)*(b*b**0*b)\/b*b\/b**(-1) assuming b is positive.\nAnswer: b**(-556\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**3 - 29794*i**2 + 2007220*i + 2037018 = 0. What is i?\nAnswer: -1, 69, 14761\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6536372 divided by 452?\nAnswer: 14461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16171 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(11))**2 + sqrt(11) + sqrt(11) + 2 + 0 - (sqrt(55)\/sqrt(5)*3 + -3 + (-5*sqrt(11))**2).\nAnswer: -94 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12397, -11845, -10923, -9631, -7969, -5937, -3535?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - -39. Find the common denominator of ((-114)\/16)\/((-18)\/m) and (-2 + 33\/16)*85.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 112?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -502, -1007, -1512, -2017, -2522?\nAnswer: -3027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/(6\/(-9)). Let h = 22\/43 + 5180\/129. Let j = -41 + h. Which is the third biggest value? (a) z (b) 0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1 = -u, -2*u - 5 = -i + 11. Let j = -334\/7 - -48. What is the second smallest value in 2, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*x = v - 251*x + 17, -3*v + 2*x = 17 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1282 less than 1743?\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.6 - -1.729.\nAnswer: 6.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 415\/249 - (2 - -2).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 8, s: 2, v: 2}. Give prob of sequence sg.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2. Let w(s) = 2022*s**2. Calculate n(w(r)).\nAnswer: -8176968*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2100.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9328 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -211828, -211815, -211788, -211741, -211668, -211563, -211420?\n\"Answer: x**3 + x**2 + 3*x - 211833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) 3\/2 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175869 is divided by 431.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 4*i**2 + 4*i - 8. Calculate the remainder when 13 is divided by w(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/12*(3 + -2 - 5). Suppose -2*p = 2*p - n - 301, -g*n = 2*p - 133. Suppose 4*t = 2*t - 2*w + p, -2*t + 2*w = -70. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 308 + -179. Let r be 3 + s - (2 + -2). What is the greatest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from atttattaaatat?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319606198.\nAnswer: 2, 17, 29, 1338343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181 - 177. Which is the closest to -0.1? (a) 1\/2 (b) h (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 + 20483879*u - 3*u**3 - 20483879*u.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.022 + 0.022. Which is the closest to -8? (a) -0.3 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117 - -127. Suppose -7*r = -52 + x. Let z be 4*(-2 - 74\/(-4)). What is the greatest common factor of r and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 19660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3862.\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 2238661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 439452 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: Let u be 5\/(-10) - 6\/4. Let r be 94\/(-4)*4\/u. What is the greatest common factor of r and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 3*a**3 - 6*a**3 + 19*a**3 - 6*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -14*u - 2. What is the units digit of i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31665 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 2*o**2 - 3*o + 7. Let s(v) = -2*v**3 + v**2 + 2*v - 6. What is 3*s(k) + 2*u(k)?\nAnswer: -4*k**3 - k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 10 = 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1126*t**2 - t + 2. What is the hundreds digit of p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -a - 57*l + 60*l, 5*a - 5*l = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 817675 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 b, and 1 r when three letters picked without replacement from {h: 5, r: 2, x: 5, l: 2, b: 5, q: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1041 + -4089\/4. What is the common denominator of j and 77\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 80*s - 90. Let q be p(39). Let n be (-5*(-8)\/q)\/((-6)\/9). Solve -n*t - 12 = -17 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 + 118. Let c(k) = -k**3 + 4*k**2 + 8*k - 3. Let v be c(o). Calculate the highest common divisor of v and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-14) - (-171)\/266. Find s such that -1\/2 + s - i*s**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (9 - 5) + -2 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2.1. Let m(a) = a**3 + 11*a**2 + 19*a + 1. Let l be m(-9). Put l, -4, p, 3 in decreasing order.\nAnswer: 3, p, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 2, e: 1, m: 1}. Give prob of picking 1 y and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1763 = -2*p, 5*h - p + 1700 = -1221. Let a be h\/(-100) + 2\/5 - 4. Factor 0*k + 0 - 3\/2*k**3 + 0*k**2 - a*k**4.\nAnswer: -3*k**3*(3*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -893 > -890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118543 is divided by 395?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48622909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -84329177, -168658347, -252987527, -337316723, -421645941, -505975187, -590304467?\n\"Answer: -r**3 + r**2 - 84329166*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 13. Let y be t(4). What is the second derivative of 4*c + y + 8*c**3 + c**3 - 9*c + 6*c wrt c?\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32 or 8\/7?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034371 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4409, 8816, 13223?\nAnswer: 17630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -654 - 20?\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 305*g + 6617. Give p(-22).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 13*i + 10. What is s(14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3032 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1114?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 454728421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 14*t - 19. What is the units digit of o(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188919?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**(-17)*(m\/(m\/m**(-1\/2)))\/(m*m*m**7\/m))\/((m*((m*m\/m**(-2\/5))\/m)\/m)**(-32))**28 assuming m is positive.\nAnswer: m**(12527\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38329620 and -3.\nAnswer: 38329617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20.6 (b) -46\/9 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than or equal to -1708\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**8\/20160 - s**7\/1680 - s**6\/144 - 2*s**5\/15 - s**3\/6 - 7*s**2 - 3. Let j(h) be the third derivative of b(h). Give j(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 169*d + 649. What is s(-4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34922 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*h**2 - 38*h**2 - 1 + 0 to the form o*h**2 + z + d*h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*z + 4. Suppose 5*u - 4*u + 5*p + z = 0, 0 = -4*u - 3*p - 1. Find the second derivative of r + u*r + r**4 + 0*r wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 433c - -1914?\nAnswer: 5c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Let k = j + 3. Let i(d) = 4*d**3 + 9*d**2 - 6*d - 2. What is the remainder when i(1) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -21080*a + 63443. Determine k(3).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -5, -9, 2, 3 in ascending order.\nAnswer: -19, -9, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 5:32 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5 - 1. Let a be 10\/(1 + y + 0). Let q(z) = 2*z**3 + 8*z - 3. Let i(b) = b**3 + 5*b - 2. Give a*q(p) - 8*i(p).\nAnswer: 2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 52*j - 5. Give z(-26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 1674, 5632, 13326, 25998, 44890, 71244?\nAnswer: 106302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2010, 1186, -1028, -5328, -12410?\nAnswer: -22970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 34637?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28*(-34)\/2856)\/((-1)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -29*s**2 - 6*s - 6. Let n(k) = 986*k**2 + 203*k + 203. Give -6*n(a) - 203*w(a).\nAnswer: -29*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.69 + -1.89. Let t(g) = -g**3 - 5*g**2 + 7*g + 8. Let l be t(-6). What is the nearest to 1\/5 in m, -5, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2328957\nAnswer: -5\/2328957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -283c9 - -7c8?\nAnswer: -27901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - b = 9, 5 = -5*s + 137*b - 142*b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 776159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {i: 6, c: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) 140 (c) 3 (d) 4\/3 (e) 1\/2 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25254 and 3416.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0 (b) -1\/2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in 4, 0.16826, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 1. Let m be h(3). Let l be 2\/(-8) - 9\/m. Suppose 3*f - 361 = l*g, -g - 193 = -0*g - 4*f. Round g to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2919, -2859, -2803, -2751, -2703?\nAnswer: -2659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(1\/5)*q**(-6))**(-36)\/(((q*q**2)\/q)\/(q\/(q*(q\/q**(-2\/7))\/q)))**(25\/6) assuming q is positive.\nAnswer: q**(14876\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 6. Let j be n(-9). Suppose 7*y + 15 = -13. Let r be (y\/(-12))\/((2 + -1)\/(-15)). Which is smaller: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - 9*p. Let k(y) be the second derivative of -4*y**4\/3 + 3*y + 229. What is i(k(u))?\nAnswer: 1024*u**4 + 144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, 29, 91, 209, 401, 685, 1079?\n\"Answer: 3*o**3 + o**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -23456 smaller than -23443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 17*g + 11. Let u be h(20). Let t = u + -65. Solve -1 + t = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**3 - 9*p**2 - 81*p - 243. Let d be z(-3). Suppose d + 10\/3*k**3 - 14\/3*k**2 + 4\/3*k = 0. Calculate k.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364, -355, -332, -289, -220, -119, 20?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4 - 3775*g**3 + 686775*g**2 - 8935925*g + 8252920 = 0. What is g?\nAnswer: 1, 13, 269, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*m - 32 = -11, -3*i = -2*m - 14. Solve -34 + 34 = -i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*4\/(-4))\/((-132)\/66)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -100, -379, -986, -2089, -3856, -6455, -10054, -14821?\n\"Answer: -28*b**3 + 4*b**2 - 95*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -141, -327, -631, -1077?\nAnswer: -1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 137?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 226d64 (base 15) in base 10?\nAnswer: 1643269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 17 + -4 + (2 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738 = -29*f + 513 + 486 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/((-10)\/(-5)) + 2. Suppose -2997 = -a*k + 1981. What are the prime factors of k?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f + 18. Let l be t(0). Let x = 32 - 19. Let p(k) = 3 - l*k - 1 + x*k. Calculate p(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 - ((5 - 4) + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cssscsszsszsmcmz. Give prob of picking 2 s and 1 c.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/d)**(1\/8)*d**(-1\/5)*d\/(d*d*d\/(d**23\/d)) assuming d is positive.\nAnswer: d**(757\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 82. Let y = t - 4. Let n(o) = o**2 - 6*o. Determine n(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 55 - 104 + 44 + i**3 + 5*i. Let p be (-10)\/(-30) - 34\/(-6). Suppose -3*d + 1 = 16. Let z(l) = l**3 + 4*l - 4. Give d*v(n) + p*z(n).\nAnswer: n**3 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + 2*sqrt(242) + -2)**2.\nAnswer: -220*sqrt(2) + 993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51118872797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzaxmaz. What is prob of sequence xz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 492514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/21 - 8)*-28?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3146\/11690 + (-2)\/5. Let p = 2\/167 - q. Which is smaller: 10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9147791603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -57373 (base 14) in base 5?\nAnswer: -23240402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*-3*-1 - 0. Suppose -k - l - 3 = 0. Let d be ((-48)\/k)\/((-4)\/(-10)). Which is smaller: 5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 2, -138\/7, 1\/4, 2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.349076l?\nAnswer: 1349.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atavf. What is prob of picking 2 v and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36315, -36950, -37585, -38220, -38855, -39490?\nAnswer: -40125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5\/4)\/p*p\/(p*p\/(p**0\/p))*(((p*p**7)\/p)\/p)\/p**(-3\/5))**(-18\/11))**(9\/7) assuming p is positive.\nAnswer: p**(-3807\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/25))**18)**(-2\/69))**(5\/9) assuming c is positive.\nAnswer: c**(4\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 65. Let n be 2*b*(-4)\/24*-1. What is the highest common divisor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1322*f**4 + 2213*f**3 - 17*f**2 - 73*f + 3032263?\nAnswer: 15864*f**2 + 13278*f - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83576 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14*z**3 - 2*z**2 - 10*z + 7. Let v be x(4). Let y = 1193 - v. List the prime factors of y.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45463*g**3*p**3*q - g**3*p*q**2 - 25*g**3*p*q - g*p**3*q**2 - p**3*q - 3*p**2*q**2 - 2*p**2*q - 28*p wrt p.\nAnswer: 272778*g**3*q - 6*g*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 + 478*a**2 - 304*a + 640. Calculate g(-160).\nAnswer: -1920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*q*w**2 - 1670*q*w + 2*q - 446*w**2 - 9 wrt w?\nAnswer: -12*q - 892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 8:05 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Suppose u = -z + 4*q - 22, 4*z + 3*q + 4 = -2*q. What is the smallest common multiple of 20 and 56\/(-6)*9\/z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8611391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*y + 9, -5*k + 16 = -3*y + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 55 in -3, 2\/5, 4\/9, 0.1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1928?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*h = 179*h - 8. Let m be -5 - (5 + (-4681 - h)). Suppose 21*a = m + 5686. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/14 + (46\/14 - 3). Suppose n + 7 = 2*r + 1, o = r - n. Suppose -5*v = -0*v - 10. Sort -5, r, v.\nAnswer: -5, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255200 rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 + 535*w**2\/6 - 1067*w\/6 + 533\/6.\nAnswer: -(w - 533)*(w - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 686 divide 16073666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20221212 (base 4) to base 11.\nAnswer: 2468a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 20 = -10*a - 5*f, -5*f = -a + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12585 = 2297*o - 48619 - 12203 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -28.3.\nAnswer: 367.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117556.\nAnswer: 2, 29389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + -1*(sqrt(65) + sqrt(65)*-2))\/(sqrt(45)\/(1*sqrt(9))))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -30. Let f = -5 - o. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*l = -1660*l - 179*l + 131445 for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 0.8. Let a = o - 7. Let d = a + 5.6. Put 4\/5, -4, d in descending order.\nAnswer: 4\/5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 63 = 14*i. Let b(w) = -w**3 + 13*w**2 + w + 2. What are the prime factors of b(i)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 2. Let f(k) = -k + 1. Calculate 5*f(z) + 3*r(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((1\/21)\/(12\/(-108)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 62*b**2 + 23*b + 1440. Let q be h(-62). Solve q*g - 31*g = -34 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/48*9 + (-122)\/(-8). Let m be -2*(-6)\/4 - (54 - i). Round m to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4465, 1271, -4047, -11489, -21055, -32745, -46559?\n\"Answer: -1062*o**2 - 8*o + 5535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24342253 (base 6) to base 3\nAnswer: -1110101211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c8c - -4d71?\nAnswer: 10c1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 8*i + 5*w - 16, -2*i = -4*w + 26. Which is the third smallest value? (a) -3 (b) 0.4 (c) i (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*v - 10. Suppose 2*n - 838 = -v*c, -c - 4*n + 848 = 3*c. Let r = c + -131. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 12:28 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 25 = l. Let p = l + -1. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*i + 0 + (2*i + 2 - 2)*(2 - 4 + 0) + i + 0*i - 2*i + 7*i - 4*i - i)*(3*i - 3*i + 2*i) - 377*i - 870*i**2 + 748*i - 371*i.\nAnswer: -872*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**5 - 27*t**4 - 6*t**3 + 54*t**2 + 3*t - 27 = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2 + 21*f**3 + 1 + 14*f**3 - 2*f**3. Let k be p(1). Let c = 12 - k. Round c to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 11)*(6\/7)\/3. Let x be (-1)\/2*(m - 6). Suppose 0 = -n + 2*n + x, n = -3*k + 127. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(36)\/sqrt(6)))**2 + sqrt(22)\/(sqrt(4)\/sqrt(2)).\nAnswer: sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, e: 1, o: 1, w: 1, p: 2, j: 3}. What is prob of picking 2 p, 1 b, and 1 e?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/10 - -2\/5. Let g = 24.992 - -0.008. Let n = g - 24.9. Which is the smallest value? (a) 1 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 16 = y, -f + 29 = y + 25 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -598476*x**6 + 64801*x**2?\nAnswer: -71817120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 - 156. Let a be 0\/(f + -1 - 4). Which is smaller: a or -2\/1007?\nAnswer: -2\/1007","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/75*27900\/620)\/((-4)\/((-160)\/(-3)))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.1. What is the third biggest value in -0.4, 0, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-310)\/(-25) + 2\/(-5). Suppose 4*a + 1168 = -c. Does 20 divide (-7)\/(-28) + a\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*(5 + sqrt(19)*-3) - -5*-4*sqrt(19)*-6)*-3)**2.\nAnswer: -13339296 - 123120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + (-17 - 204\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 80. Let n = -33 - g. Suppose 2*k - n = -4*a, -5*a = 5*k - 2*k - 36. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100260.3 - 100260. Let x = 7 + -3. Sort -3\/7, i, -0.05, x.\nAnswer: -3\/7, -0.05, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5511 + 5513. Solve -3*a = 5*l + 2*a - 10, -t*l + 19 = -3*a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18038410 by 95.\nAnswer: -189878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27744089 - 27744087.93999695. Let w = l + -1.06. What is w rounded to seven dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*q - 0*q. Let z(p) = -p**2 - 10*p + 6. What are the prime factors of z(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7238*b**2 + 7441*b**2 - 15327*b**2.\nAnswer: -648*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 2*r**3 + 3*r**2 + r**3 + 9*r**3 - 5*r**3 + (2*r**3 + 2*r**3 - r**3)*(-1 + 1 + 1) to z*r + b*r**2 + t*r**3 + f and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3)\/(2\/(-6)). Let p = -2.4 + 1.2. Let f = p + -3.8. Put f, 2, j in descending order.\nAnswer: 2, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 6*v + 858 = 0. Find the common denominator of -53\/2 and 2 + -4 - (-31)\/v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34994*j*v**2 - 2*j*v + 226*j + 169561930*v**2 with respect to j.\nAnswer: 34994*v**2 - 2*v + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.551 + 6.551. Put 2, i, -0.02 in decreasing order.\nAnswer: i, 2, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1271, 2346, 3279, 4064, 4695?\n\"Answer: -h**3 - 65*h**2 + 1277*h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7396849*c**2*k**2 + 43*c**2*x**2 - 3*c*k**2*x**2 + 244*c*x**2 + 2*c*x + 7*x**2 - 10 wrt k.\nAnswer: 14793698*c**2*k - 6*c*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**2. Let s(t) = t**2 - 3*t**2 + t**2. Calculate s(m(g)).\nAnswer: -49*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4886003 - -19?\nAnswer: -4885984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -11. Let a = -4097\/15 + 273. Suppose i + 36 = 39, 2*i - 10 = -p. Sort p, a, t in ascending order.\nAnswer: a, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/13 or 24\/5?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 4*l**2 + 2*l - 4. Let m be u(3). Suppose 5*t + 4 = -m. List the prime factors of -4 - t - 1 - -31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1329 or 1328?\nAnswer: 1328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1015 (b) -16.1 (c) 1 (d) 2\/7 (e) -109 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35487841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 14*g**2 + 30*g - 11. Give n(-16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124873550?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 3*h**8\/56 - 13*h**4\/12 + 7*h - 6. Let i(x) be the first derivative of b(x). What is the third derivative of i(z) wrt z?\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/7)\/(d\/d**(-3\/4)))**38*((d**2)**(-2\/139))**(-47) assuming d is positive.\nAnswer: d**(-137341\/1946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 85. What is the second biggest value in -3\/2, 5, 6\/5, r?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q + 288. Let s be w(10). Suppose -24*x + 29236 = s. What are the prime factors of x?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 10.8. Let t be 4\/(-10) - 32\/(-30). Let w = 0.37 - -0.53. Which is the smallest value? (a) t (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -157*c - 8980. Calculate y(-57).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -5*c**6\/6 - c**4\/2 + 67*c**3\/3 - 65. Find the third derivative of f(a) wrt a.\nAnswer: -300*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -461 - -517. Suppose -l*g - 32460 = -68*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*u - 5*u = 148, -10*b = 3*b - 5*u - 242 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 405 - 405.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2568082 divided by -1284041?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209441 to the power of 1\/2, to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 3*z - 5*f, 3*f + 324 = 5*z + 65. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 4. Suppose 4*b = 3*g + 28, g - 3*g + 5*b = 28. Determine l(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25 + -28)*188\/(-6). Let u = m - 84. Solve 16 = 3*z + o + 2, u = 2*z + o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 23. Let q(t) = 5*t**4 + 7*t**3 + 7*t**2 + t. Let i(w) = 6*w**4 + 8*w**3 + 8*w**2 + w. Let m(x) = s*q(x) + 4*i(x). Factor m(z).\nAnswer: -z*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*s - 88*s - 83*s + (2*s - 3*s - s)*(0 + 0 + 3) in the form f*s + t and give f.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 17 = -2*f, 4 = -f + 8. Find the common denominator of -37\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**4 + f**3 - f - 1. Let i(w) = 54*w**4 + w**3 - w**2 + 2*w - 1. Let j(l) = b(l) - i(l). What is the third derivative of j(a) wrt a?\nAnswer: -1320*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132 + -531\/4. Let v be 4 - (-13 + (-1175)\/(-100))\/(1\/(-4)). Which is the closest to v? (a) -0.4 (b) n (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + 10. Which is the closest to 4? (a) 3 (b) o (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3408249 and 1405.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.05 - 0.05. What is the closest to -0.2 in 3, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 350?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.045 - -0.455. Which is the third smallest value? (a) 4 (b) h (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 28 = -0*o + 4*o, -4*o = -2*q - 24 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64312 is divided by 3781.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*b + 37, -5*r - 5*b + 0*b + 285 = 0. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**10\/378000 - b**9\/100800 - b**8\/100800 + 13*b**5\/60 - 8*b**2. Let j(c) be the third derivative of g(c). Factor j(h).\nAnswer: -h**2*(h + 1)*(2*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -2. Calculate the remainder when (-3)\/15 - (-1668)\/v is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {r: 1, v: 1, o: 1, y: 2, d: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (2 - -2)*-8. Let c = 55 + f. What is c rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 23 = -88. Solve 0 = -o + g + 3*g - 2, w*g - 8 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11114, 22170, 33238, 44318, 55410?\n\"Answer: 6*l**2 + 11038*l + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528465282 to the power of 1\/3, to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 750*w - 2277.\nAnswer: 3*(w - 253)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38940 - 38935. Let k(j) = -j**2 + 8*j - 5 - 5*j + 3*j. Give k(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 16 + 268 = -36. Solve -59*r = -w*r + 46 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/1*7*18\/(-84). Factor x + 1\/2*x**3 + 0 + f*x**2.\nAnswer: x*(x + 1)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.05 or 0.4935?\nAnswer: 0.4935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -224793, -449588, -674383, -899178, -1123973, -1348768?\n\"Answer: -224795*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2533\/3185 + -3\/637. What is the closest to -0.18 in 0, n, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-89208)\/(-7965)*30\/8.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 18\/(-10))\/(-42 - 32536\/(-735))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14\/13 - -124\/91. Let o = 7.467 + -0.017. Let n = o + 0.55. What is the closest to n in -3, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 11 = 4. Let c be m*4*3\/18. What is the common denominator of -54\/11 and 51\/c - (-2 + 0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h + 5532 - 1866 = 0. Let b = h - -284. Solve -x = b*x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 94298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r + 8. Is 31 a factor of t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.5705951 rounded to 2 dps?\nAnswer: -30.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -550 - 20054212?\nAnswer: -20055202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673126518 - 76.6?\nAnswer: 1673126441.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-8))\/(21\/(-6))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 0 + 1 + 1)*(18*i**2 - 82*i**2 - 11*i**2).\nAnswer: 150*i**4 - 150*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 4117.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/14490 and 109\/13524?\nAnswer: 202860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s - 5*a - 241 = 0, 56 = -4*s + 3*a + 69 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2\/3 - 268*o\/9 + 184\/9 = 0. Calculate o.\nAnswer: -23, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o, 2*o = -4*d - 3*o + 79064. Let b = d - 11215. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2709638952 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1473776, 1473767, 1473758, 1473749, 1473740, 1473731?\nAnswer: 1473722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20924365?\nAnswer: 5, 7, 11, 17, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 1 + 3 = 0, -5*f - 11*f - 106*z + 122 = -109*z for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + (20 - 20) - -14) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75755 and 4796?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 163261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20585841 is divided by 374288.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from selsjnvjejvv. Give prob of picking 1 l and 1 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -48, -86, -128, -168, -200, -218, -216?\n\"Answer: r**3 - 11*r**2 - 2*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*t + 386*t + 5040 = 0 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 - 13)*(-2 + 5 - 2) + (5 - 2 - 1)*(-1 + 0 + 2))*(-2*d**2 - 2 + 2).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3302144 - -44404?\nAnswer: -3202240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (8 - (7 + -2 + -12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4}. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/5, -22\/7, -2\/7, -5 in descending order.\nAnswer: 0, -2\/7, -2\/5, -22\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 23 - (-2)\/(-2). Let s(v) = 3*v**2 + 17*v - 9. Let n be s(-5). Let d = n + k. Let l(c) = -c**3 + 3*c**2 + 3*c + 5. Determine l(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-8)*(-2)\/(-6)*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2327 is divided by 402.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = l + l + 5*h, -1 = 4*l + 3*h. Is 25 a factor of (l\/6)\/((-2)\/123)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0*f + 0 - 7\/3*f**3 + 19\/24*f**4 + 29*f**2. What is the tens digit of h(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 1\/(-2) + 150\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 46 = 2*c - 20, -4*c + 44 = -4*o. Is (-5 - -1) + o\/(24\/(-22599)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -34. Let h be -20*((-686)\/(-35) + -22). Calculate the highest common divisor of h and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**5\/60 + 19*n**3\/3 - 30. Let k(q) be the third derivative of d(q). Let m(h) = -4*h - 1. Calculate m(k(s)).\nAnswer: -8*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2*(1 - (-9)\/(-2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -0.3 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 1602.\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.14 (b) -0.5 (c) -0.1 (d) 1 (e) -3\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 + 528607107.4.\nAnswer: 528607064.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 245917 or 245906?\nAnswer: 245917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l = -3*f - 31, -2*l = 5*f. Let i(x) = -x**2 - 2*x + 1. Let w be i(f). Suppose -t - m - 9 = -5*m, 3*t = -m + 12. Solve 0 = -n + w + t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b*(b*b\/((b*b**6)\/b)*b*b)\/b))\/(b\/b**3))\/(b**(-3)*b*(b**(4\/7)\/b*b)\/b))**(-3\/5) assuming b is positive.\nAnswer: b**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = 12*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 6*r**2 + 6*r - 3. Let z be q(5). Let w(s) = -z*s + 5*s - 3*s - 4*s. Let y(g) = -2*g**2. Give w(y(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/285 and 117\/20120?\nAnswer: 1146840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 y when four letters picked without replacement from yyyyyyccyy?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxyxxxxxyxxxxlxxx. What is prob of sequence xy?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3979673?\nAnswer: 1327, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 16*a**2. Let r(s) be the first derivative of 91 + 83*s**2 - 153*s**2 + 62*s**2. Calculate r(o(n)).\nAnswer: -256*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 57434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-5) - (-18)\/(-10). Let b(h) = h**2 - h - 3. Let g be b(d). Solve 4*l - 3*z + 0 - 19 = 0, -3*l - g*z = -9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-30) + 8\/(-20)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let m(h) = 3. Let n(u) = 5*d(u) + m(u). Let y(z) = 4*z - 2. Let o(f) = 5*n(f) + 6*y(f). Calculate the remainder when o(-4) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3676960 and 54880?\nAnswer: 3676960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 17*n - 19*n - 6846, -a - 3*n = -3439. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 10:02 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 42*q + 230. Calculate m(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -10.412\nAnswer: -52.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 2:19 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - y**2 - 3*y**2)*(26 + 27 - 16).\nAnswer: -74*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -138305, -138304, -138303, -138302, -138301, -138300?\n\"Answer: x - 138306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -184, -362, -540, -718, -896, -1074?\n\"Answer: -178*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/5 - 8278*y\/5 - 16548\/5 = 0. Calculate y.\nAnswer: -4137, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 16) to base 13.\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81450, -162912, -244384, -325872, -407382, -488920, -570492, -652104?\nAnswer: -733762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -38555\/2764?\nAnswer: -38555\/2764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1421 is divided by 450?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 267631 and 663.\nAnswer: 802893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799762603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + x + 7796 + 3375, -2*w + 7446 = -x. Suppose 44*d - 39*d = w. What are the prime factors of d?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19584894000 rounded to the nearest 1000000?\nAnswer: -19585000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2863 - 199. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 91.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + g**4 + (4 - 2 - 3)*(13*g**4 + 46*g - 46*g).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 less than -0.1925372296937?\nAnswer: -0.0225372296937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7402*((-56)\/252 + 26\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -489?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3944829ml to litres.\nAnswer: 0.0003944829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, p: 11}. What is prob of picking 2 w and 2 p?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(2448) + 0 - (-1 + sqrt(2448))*-5).\nAnswer: -144*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4, 5, 40, 113, 236?\n\"Answer: 2*q**3 + q**2 - 8*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 8*f - 20. Let o be (48\/(-12))\/(0 - 2). Solve f*l = 2*g + 19, -o*l + 29 = 5*g + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 16. Let m(l) = -l**3 + l**2 + 6*l + 3. Let x be m(h). Find n, given that -2*n**2 - 5*n + 0*n + 0*n**2 + 5*n**x + 2 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2. Let f(q) = 5*q - 4. Let g be f(1). Let b(w) = -3*w - w + 3*w. Let j be b(-2). Let i(d) = -d**2. Determine g*i(a) + j*o(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(2*n - 5*n + n) + (-4*n - 3*n + 4*n)*(-2 + 4 - 1).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -335487 divided by 474?\nAnswer: -111829\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*j - 315*j + 926*j - 334*j.\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 20*a - 37. Let g be (2\/(-6))\/(a - 244\/81). Solve 3 = 2*b + r + 16, 3*b + 4*r + g = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2335*m**3 - 212495*m**2 + 910*m = 0?\nAnswer: 0, 2\/467, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-644)\/(-63) + 4\/(-18). Let x = 30 - g. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147966381907*d + 147966381907*d + 3*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysseseesse. Give prob of sequence ye.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2. Suppose 195*c - 201*c + 174 = 0. Let u(w) = -3*w + 11 - 5 - 6 - c*w. Calculate u(d(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76.77 - 1.77. Let s = v - 74.6. Which is the second biggest value? (a) s (b) 0.5 (c) 2\/15 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*r - 86 = -436. Solve r*p - 4*u = p - 4, -22 = 2*p + 3*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337996 is divided by 125?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171911*y - 57246*y - 57205*y - 57447*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, q: 1, j: 3, s: 3, e: 1, w: 2}. What is prob of sequence pq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*r - 568, r = 2*g - r - 224. Calculate the remainder when g is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/178620 and 39\/215.\nAnswer: 7680660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345 + 1020 - 336 - 339 + 11*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 67, 75, 87, 103, 123?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f + -29?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 40?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -39. Let v = m - -78. Suppose 4*b + c - 227 - v = 0, 5*b = -3*c + 347. Is b a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 118931*(-3)\/(-274788). Let f = m - 14\/1347. Let a = 1289\/20 - 376\/5. What is the common denominator of f and a?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116 - 57. Let t be 42484\/741 + (-5)\/(-2) + 10\/(-12). Is t < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257.86797 months to centuries.\nAnswer: 0.214889975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2 + 2772163*g + 2772162 = 0. What is g?\nAnswer: -2772162, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 29.7. What is the second biggest value in f, 1, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 110 = 3*a, -2*a = -4*z - 22442 + 22354 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75514 and 0.4?\nAnswer: 30205.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -203123 (base 5) to base 10\nAnswer: -6663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146456 or -5614?\nAnswer: -146456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, a: 5}. What is prob of sequence aoo?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*w - 9 + 9)*(-3*w**3 + w**3 + w**3).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6280 + -6277. Solve -15 + 29 = w + 3*m, 2*m = -r*w + 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2014672735 to the nearest integer?\nAnswer: 44885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 576115285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-20))\/((13072\/1064)\/((-6)\/7) + 15).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) -1\/3 (c) -7 (d) 5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 5 = -5*x, -11*x = -0*v + 4*v - 22 + 89 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00909 and -157.\nAnswer: 1.42713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v - 5 = 0. Suppose v*l - 159 = 31. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -753, -828, -953, -1128?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 - ((4 - 3) + 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 15, 2*n - 3*z = n - 10. Find the first derivative of 2 - n - 6*l**2 - 2 wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57970670 and 1933?\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, c: 7}. Give prob of picking 4 b.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41330.\nAnswer: 2, 5, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 4:12 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23386857 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**4\/6 + 25*c**3\/6 + 7*c**2 - 10. Give v(20).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 83. Let a = q - 85. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.15, 3\/7, -147, 4, 2, -2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v + 5*v - 1696038 = -35*v. Round v to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i - 1. Let w(t) = -t. Determine -s(g) + 5*w(g).\nAnswer: 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 14*v + 12. Let w = -16 - -16. Suppose w*h + 42 = 7*h. Let k be d(h). What is the third smallest value in -2, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*f - 14*f - 35*f + (-3 + 3 - 2*f)*(2 - 4 + 1) - 3 + 2*f + 3.\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3277 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 166, 45, -186, -563, -1122?\nAnswer: -1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -499 + 499. What is the nearest to n in -1\/2, -0.4, -2\/3, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*h**3 + 0*h**2 + 0*h**2)*(0 + 3 - 2)*(380 + 5*h - 380) - 11*h**4 + 7*h**4 - 4*h**4 to j*h**2 + b*h**4 + g*h + z + n*h**3 and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 28 = p, 4*v = -13*p + 14*p + 20. Suppose 1040*g - 1037*g = v. Solve 2*b - w - 3*w = 26, 4*b = -2*w + g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 291. Let o(y) = 1059*y - 351*y - 354*y - 351*y. Calculate t(o(u)).\nAnswer: 6*u + 291","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5816, 4546, 1 in descending order.\nAnswer: 5816, 4546, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10979.8 - -10980. What is the smallest value in o, -1.28, 1\/10?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -6*c - 60. Suppose -5*g = -3*p - 6, -4*p + 3*g = -g. Find the third derivative of -47*i**p + 47*i**3 - 12*i**c - 20*i**2 wrt i.\nAnswer: -720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2\/9 (c) 3 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1. Let j(s) = -5*s + 9. Let c(d) = -6*h(d) - j(d). What is c(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -28. Suppose 3*a - y = 0, 4 = p - a - 25. Calculate the remainder when p is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 f when four letters picked without replacement from fffxsffsfmfmgm?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/20)\/(3\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 70\/66)*((-8)\/16 + 5). Which is the nearest to 529? (a) s (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 8. Suppose 0 = -2*q - 6 + 2. Let z be -3 + (-3 - 0 - q). What is h(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1388224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/538 and -56\/15.\nAnswer: 8070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*r - 6*d + d, 4 = 5*r - 4*d. What is the units digit of (-10318)\/(-33) - (r + 2\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.04 (b) -4 (c) -0.0472 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**2 + 2*x - 1. Let l(o) = 15*o**2 - 4*o + 2. Determine 4*l(m) + 9*v(m).\nAnswer: -3*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42390 and 255282?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2198 = 2*z - n - 2*n, 3*z - 3297 = n. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8478? (a) 138 (b) 3\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28981392\/156 - 4\/26. Suppose 14*r + z = -257462. What is r rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 1. Suppose -5*o + o = 0. Let r(k) = k**2 - 6. Let h be r(o). Does 6 divide m(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 3, n: 1, p: 3, w: 3}. Give prob of sequence pbnp.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (2 + (-1 - -2)). Let o(a) = a**3 - 3*a**2 - 4*a + 2. Let c be o(r). Round c to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9441 - 0.0559. Let i = 3\/4 + -1\/4. Let y = -7 + 3. What is the closest to i in y, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/3)\/(5\/15). Suppose 635 + 1661 = q*s. Suppose -2*v - 8 = 0, 6*t = 3*t + 5*v + s. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 1322?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 10*v - 3. Let d be u(7). Let p = d - -2. Suppose 2*o - 8 + 0 = 0. Solve -x = o*x + p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 7, t: 6, d: 1}. What is prob of picking 1 y and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1152, -1157, -1162?\n\"Answer: -5*f - 1147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 8*p - 11. Let i be w(5). Solve -i*o + 15 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = u + 6, -5*s - 34 = 3*u - 36 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.4553 rounded to 1 dp?\nAnswer: 202.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*p**2 + 10754069*p + 41716688 wrt p?\nAnswer: 80*p + 10754069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - 0 - (65 - 45 - (17 - 2))) + 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 2544*w - 7623. Let g be p(3). Solve g = 5*i - 3*z + 32, -13*z + 8*z + 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 649 - 183 = 0. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c0a + 6?\nAnswer: -5c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 3 + 5)*(-5 + 4 + 3) + 2 - 2 + 2 + 3 + 9 + 5)*(10*g - 28*g - 38*g) to the form j + z*g and give z.\nAnswer: -1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 5*t**2 - 3*t - 4. Let j be (2 - (0 + 0))*1. Suppose 4 = j*w - 4. Give v(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6824.8 to the nearest 10.\nAnswer: -6820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382.73312 days to weeks.\nAnswer: 54.67616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1331 and 1067?\nAnswer: 129107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -7 - (18 - 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/11, 7, -27, 2, 4 in descending order.\nAnswer: 7, 4, 2, -1\/11, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*g**2*s - 4*g**2 - 2*g*s - 4*g wrt g.\nAnswer: 18*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 7) to base 8\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 921992*a**4 + 49*a**2 - 146001652*a.\nAnswer: 11063904*a**2 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*c + 394, 215 = 37*q - 35*q + 5*c. What is the least common multiple of 625 and q?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 20733563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1647)\/(-1098)*(8\/15)\/(-1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22009670*t**3 + t**2 - 67268*t - 310?\nAnswer: 132058020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -11. Let b(f) be the third derivative of f**7\/280 - f**4\/24 + 4*f**3\/3 - 9*f**2. Let l(w) be the first derivative of b(w). Determine l(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*o + 4*o - 18 = 0, 4*o = 0. Let q = 12 + -2. Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6531 by -9.\nAnswer: -2177\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2268886 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.7 - -4.1. Let b = 9.4 - r. Sort -0.4, b, -3\/5 in decreasing order.\nAnswer: b, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 5*u = -9*g - 51, 2*g - 5*u = 81. Calculate the smallest common multiple of 21 and g.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11222 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-87)\/4*((-824)\/6 - -12)?\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2)\/((-6)\/42). Suppose 4*x - j = 1. Let i = -4 - -6. Solve x*k = -i*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.326 times 459.4\nAnswer: 149.7644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 249133769*h.\nAnswer: -h*(h + 249133769)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -288.8 - -304.9. Which is smaller: t or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttccctctcc. What is prob of sequence tctt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 3 - 3 + 3*z - 2*z + z + (2*z + 0*z - z)*(-3 - 1 + 3))*(5*z + z - 3*z) - 5*z**2 - 2*z**2 + 3*z**2 to the form y + c*z + u*z**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1437983*h + 27321683. Determine z(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.98 - 8. Let x = -1.02 - m. Sort 1, 2, x in descending order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6116\/(-154) + 2\/14*-2. Let o = w + 44. Solve b + 12 = o*d, -4*b - 4*d = d - 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -1)\/((-328)\/18860). Solve -117 = -n - s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*k**2*w**2*z**2 + 2*k**2 - 3*k*w**2 - 4*k*w*z - 102*w**2*z**3 + 3*w**2*z + w*z wrt z.\nAnswer: 22*k**2*w**2 - 612*w**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - (6 + -4))*(-7 - -2). Let c = o - -33. Let r(x) = -x**2 + 9*x - 10. What is r(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 128*v**3 - 11 - 18 - 24.\nAnswer: 128*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 284 + -255. Suppose -26*i - 168 = -z*i. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 63779 in decreasing order.\nAnswer: 63779, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/2)*l**(-3\/14))**12 assuming l is positive.\nAnswer: l**(-228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1684 - -13465\/8. Find the common denominator of -169\/504 and h.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u + 4. Let r(k) = -7*k - 5. Let x(g) = -4*c(g) - 3*r(g). Let q(v) = 3*v - 5. Suppose 0 = -2*s + 1 - 3. What is s*q(n) + 4*x(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**3*q - 1118*k**3 - 88*k*q wrt q.\nAnswer: 2*k**3 - 88*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 7*r - 4. Let a be ((-33)\/(-2))\/(21\/6 - 3). Let p be 126\/8 - 2\/(-8). Suppose -5*f + 4*c = -a, 1 = 5*f + 4*c - p. Determine t(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1521 divide 2511372001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1856441.\nAnswer: 1856441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.10468 + -0.04585. Let c = h - 0.059. What is c rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -8 - 0. Suppose 4*d + 4 = 0, 2*d + 1 - 3 = -p*q. Let u(s) = s**2 - 3*s - 2. Give u(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*d + 78 - 150 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -13\/3*p**3 + 0*p + 0 - 7\/8*p**4 - 26361\/20*p**5 - 26*p**2. Let n be z(-14). What is n rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979 is divided by 312?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) -0.1 (c) 1\/7 (d) 2 (e) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose -2*w = a*w. Let l = w - -11. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2. Let v = -324 + 326. Suppose k - 3*k - 2 = 0. Let u = k - -8. Let i(s) = s**2. Give u*i(q) + v*p(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.122543 + 0.1123949. What is d rounded to four decimal places?\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -0.1, 796, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -53.1. Let i = -8 - q. Let d = -61.13 - i. Round d to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -44*k. Let s(p) = -110*p. Let a(q) = -12*b(q) + 5*s(q). Let d(y) = -5*y. Calculate a(d(v)).\nAnswer: 110*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-21) - (-8)\/(-14). Is -2 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14291.937105 rounded to the nearest 10?\nAnswer: -14290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -55 * -2457.2\nAnswer: 135146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8217543 divided by 2739181\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*h = -123*h + 315. Is h < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, 2\/9, 57?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/16*24\/(-3096)*12. Are -1 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebff when four letters picked without replacement from fmbebf.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (432285\/(-90))\/(-161)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*x + 2 + 13 = 0, -3*c + 4*x = -11. Let v(j) = -2*j + 6. What is v(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 - 153. Solve -d + 0 = 4*f - 18, 5*f = -i*d + 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/38 - (4 + (-7400)\/95) is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752)*1*5*2)\/(-4*-1*(-1*sqrt(110) - sqrt(110))\/sqrt(10)).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-182)\/(-26) - (9 - 2). Are c and -515 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Let l be 4 + -6 + 1*v. What is the greatest common factor of l and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1587, 1588, 1589?\nAnswer: 1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1520, 3132, 4854, 6692, 8652, 10740, 12962, 15324?\nAnswer: 17832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 141764490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6302819 to the nearest integer?\nAnswer: 2511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 922*t + 149 - 922*t - 260*t**3 - 149.\nAnswer: -260*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 3 + 4 - n**3 + n + 2*n + 5*n**2. Let w(z) = z**3 - 7*z**2 - 7*z - 2. Let h be w(8). Give j(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 13*w - 66. Let u be f(17). Solve 2*z + 8 = -2*g, u*g - z + 8 = 4*z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**6\/120 + 3*q**5\/40 - 49*q**4\/24 + 2*q**3\/3 + 75*q + 8. Let n(u) be the third derivative of r(u). Differentiate n(x) wrt x.\nAnswer: 6*x + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 27 - 28. Let o(k) = k**3 + 12*k**2 + 12*k - 3. Let r be o(u). List the prime factors of 722\/10 - r\/(-70).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 170\/6 + 2\/3. Let t = x - 17. Calculate the lowest common multiple of t and (452\/(-339))\/(4\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13508 is divided by 422.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxvwi. What is prob of sequence xwv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357063?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -762*h - 262. Let d be l(14). What are the prime factors of (-50)\/200 - (d\/8 - -2)?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*z + 40, m - 16 = 3*z + 1. Let b = m + -6. Solve b*w - 25 = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*h + 22*h - 113*h.\nAnswer: -285*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51b75 + -14a?\nAnswer: -52103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.3769 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11446828*w*y**3 + 2*y**3 + y**2 + 683895*y wrt w.\nAnswer: -11446828*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - j. Let f be i(-2). Let q = f + 8. Solve -2*u - q*u = -16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 5. Let i be q(-9). Suppose i*u + 10959 = 5*s, 3*s - 8796 = -s - 4*u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*k - 12*k - 4*k)*(1 + 0 - 2) + 4*k - 3*k + 2373 - 2387)*(2 - 3 - 1) - 2 - k + 2 to the form s*k + r and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 903\/(-15) - (-6)\/(-120)*-4. Let u be j\/(-14) + 9\/(441\/(-14)). Solve -2*v - 5*g = -4*v, -u*g = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = -6*o - 2*f, -1410*o + 1407*o = 22*f - 908 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112653*m**5 - 153*m**2 - 38901*m - 1174 wrt m?\nAnswer: 2253060*m**3 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6406977394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 9) + (-2 - (3 + -3)). Let o = 9 + u. Solve 0 = 4*b - 9*b + o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 44*b - 47*b - 27, 4*n - b - 9 = 0. What is the closest to n in 1, -0.2, 151\/7, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.110438 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 8*l + 9. Calculate the remainder when d(8) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -31)*(0 - -1). Let j be i\/(-6) + 3\/(-9). Suppose -j*q = -3*x + 13, 4*x - 37 = -x - q. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a - a - 5 + 13 + 4*a. Let z be u(6). Suppose z*v = -v. Solve 3*j = -v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x + 5. Let s(y) = -4*y + 4. Let j(u) = 6*s(u) - 5*v(u). Let c be j(-1). Solve -c*a - 2 = 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 3*m - 4. Calculate z(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 35*t**2 + 5*t - 18. Is j(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.82684 kilograms in tonnes?\nAnswer: 0.00282684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 8, x: 1, w: 2, v: 2}. Give prob of sequence zxw.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 103\nAnswer: -5\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/12 + 3*o**3\/2 + 7*o. Let i(u) be the second derivative of x(u). Let b(q) = q**2. Calculate b(i(w)).\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 25, -4, -1, 3, -134.\nAnswer: -134, -4, -1, 0, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 19. Suppose -9 = -4*n + n. Suppose -2*d + 8 = -4*p, 2*d = -2*p + n + 5. Solve -d*f + i - 24 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**7\/504 - 5*f**6\/72 + 3*f**5\/8 - 11*f**4\/4 + 31*f. Let m(u) be the third derivative of b(u). Suppose m(i) = 0. What is i?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = -0*a + 2*a. Suppose a = j + 2*j. Calculate the highest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 14*x + 54. Let c be i(-17). Solve -c*f + 25 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {x: 3, r: 16}.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 15, -3\/307, 5 in ascending order.\nAnswer: -5, -4, -3\/307, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -73771, -73754, -73735, -73714, -73691, -73666?\n\"Answer: l**2 + 14*l - 73786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-20 - 1 - (-66 - -58))) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386000 is divided by 942.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/9 in -1, 3, -21, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-420)*(-2)\/(-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/52411 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*t = -57 + 8, -4*b = -3*t - 71. Does 17 divide (-1)\/(-2) - 14*(-155)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6116 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**4 + c**4 + 0*c**3 + 4*c**3 - 15 + 4*c**3 - 4*c**3 to i*c + x*c**3 + u*c**2 + q + z*c**4 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*m - d - 7, 2*d + 11 = 3*m. Let h(f) = -2*f**2 - f + 1. Let n be h(m). Let s = 17 - n. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3404*r + 1447 wrt r?\nAnswer: 3404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -774024 + 2120*r + 649*r + 774024 + 4506*r**3 wrt r.\nAnswer: 27036*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12262021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8650 divided by -9\nAnswer: -8650\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 79286, 79293, 79300?\n\"Answer: 7*r + 79279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82 or -950?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + w + 2*w = -336, -5*u - 5*w - 330 = 0. Let r = u - -153. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180310 is divided by 392.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/389320 and -11\/305.\nAnswer: 23748520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38065625*g**2*y + 3*g*y - 811646*y wrt g?\nAnswer: -76131250*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 373 = 77. Suppose 3*r - 8*r = t. Is (2 + -22)*24\/r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**4\/7 + 20*z**3\/21 + 6*z**2\/7 - 36*z\/7 + 37. What is i in y(i) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -22\/147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*c = -53*c - 5565. List the prime factors of c.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284404 and 388.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1703*a + 1693*a - 5108*a + 860 = -1702*a for a.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -277.99069 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/4)\/((-18)\/(-144)) - -1749?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2*r - 6)*(-3 - 1 + 5)*(-120 + 42 - 20).\nAnswer: -196*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.326\nAnswer: 0.163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 18. Let p = 18 - 15. Which is the closest to 1? (a) 2 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1098*y + 341*y + 95*y.\nAnswer: 1534*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 440 = 4*t, 2*t = 5*t + x - 319. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378441.6 + 8.503.\nAnswer: 378450.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 27. Let l = 196749796 - 196749807.9999959. Let c = p + l. What is c rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 209168 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1105 by 10996.\nAnswer: 1105\/10996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-4) + 33\/12. Let v = 3006 + -3006. Solve v = -c - 7 + p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/624982 and -137\/444.\nAnswer: 138746004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - -3) + -8 + 1*266 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16568623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k + 2. Let t be r(-2). Let b be -2*t\/15 - 2\/3. Determine l so that -b*l - 4 + 2\/3*l**2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472 = 67*g - 1544 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/7 - 122*i**4\/7 + 165*i**3\/7 + 5130*i**2\/7 - 4644*i\/7 - 26568\/7 = 0. What is i?\nAnswer: -123, -6, -2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + v**2 - 20*v + 5. Give y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 3)*37\/2. Let x be (-317)\/(-3) - 2\/(-6). Let o = x + s. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19062.4674 rounded to the nearest 100?\nAnswer: 19100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 10:00 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 4*a - 9. Let l = -25 + 29. Let p be t(l). Suppose 4*k - 3*w + 19 = 0, p = -4*k + 2*k - 3*w. Let n(s) = s + 15. Determine n(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - x**2 - 2. Let f be i(2). Let g be (-48)\/(-21) + 4\/f. Suppose -m - 12 = -g*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2. Let u(m) be the second derivative of -25*m**3\/2 - 53*m. Determine u(k(w)).\nAnswer: 150*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*q + 155*q + 84 - 79 + 117*q.\nAnswer: -3*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/2500 and -75\/8?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1034412*w + 62. Let z be s(37). Let a = 4626818 - z. What is a rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5741240 and 640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13448022 - 10034815. Let a = r + 23482838.6800159. Let h = a - 1.68. What is h rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 210 - 207. Is -2 + 4513 + o + -7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -979dc (base 16) in base 7?\nAnswer: -5164361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33256703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k. Let l be x(5). Find the common denominator of (3\/l)\/((-21)\/742) and 1 + 3\/(54\/16).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96.71 - -97. Let y = 2.71 + r. What is the smallest value in -0.2, -2, 0.3, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 8:13 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17258.54 millimeters in micrometers?\nAnswer: 17258540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 611094378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/(545\/(-981)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiisaiarsiiiyssgg. What is prob of sequence ssg?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38956 divided by 18.\nAnswer: -19478\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -641*k**7\/210 - 129*k**5\/10 + 2*k**2 + 8. What is the third derivative of z(b) wrt b?\nAnswer: -15384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(0*a**2 + a**2 + 0*a**2) + 4*a**2 - 2*a**2 + 0*a**2 - a**2 + 2*a**2 + a**2 + 3*a**2 + 0*a**2 - 2*a**2 - 2650*a**2 - 1117*a**2 + 69 - 69.\nAnswer: -3761*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 196*g*h*i - 2*g + h*i - 22*i + 2 wrt h.\nAnswer: 196*g*i + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 140\/50 - (-39)\/5. Solve -f*n = -3*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.277 and 1?\nAnswer: 0.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -10 - 4)*4. What is the highest common divisor of b and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((425\/68)\/5) + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 507207690*r + 12862982039756805.\nAnswer: 5*(r + 50720769)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -1 + -1)\/1. Let n be -1*(-4 + 7)*b\/36. Put 3, -12, -2\/9, n in increasing order.\nAnswer: -12, -2\/9, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**3\/8 + 147*w**2\/16 - 885*w\/4 - 63. Factor b(c).\nAnswer: 3*(c - 10)*(c + 59)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122837000 rounded to the nearest 1000000?\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 7. Let k be 2 - (2 + (o - -1)). Factor 2*c**3 - 19*c**5 - 4*c**5 + k*c**4 - c**5.\nAnswer: -2*c**3*(3*c - 1)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from erevvvreeveee?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5915 a factor of 778443575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 2*h + 4. Calculate l(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94494, -183798, -273102, -362406, -451710?\nAnswer: -541014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 224 = -22*m + 20*m, 343 = 3*m - 4*l. Let u = -218 - -334. Which is greater: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gngp when four letters picked without replacement from cvlngpg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from nzzffzzcznfzfnffznff?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 5:38 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = 0, 7*k = 5*k - 3*q + 11029. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000087233 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -29. Let l = p + 10. What is the third derivative of 6*s**2 + s - 2*s**l - s - s**3 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136 or -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 97. Let f = -73 + s. Let p be -4 - ((-2)\/1)\/(-2). Put p, f, -1 in decreasing order.\nAnswer: -1, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2))**34)**11*(c**(-2\/19)\/c**(1\/2))**6 assuming c is positive.\nAnswer: c**(-3622\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 = u, -i + 5*i = u - 1. Suppose 5*c + 1 = -4. Sort c, -3, i in descending order.\nAnswer: i, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/10191, 3, -1.05 in descending order.\nAnswer: 3, 2\/10191, -0.3, -1.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/13 (b) -7\/2 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 32 = -l, -5*i + 3*l - 38 - 18 = 0. Let o(m) = m**3 + 11*m**2 + 9*m - 6. Let w be o(i). Solve 0 = -w*g - 3*r + 11, 4*r - 17 - 7 = 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 3. Let r(c) = -c - 1. Let o(b) = h(b) - 3*r(b). Let f(q) = q. Let a(d) = 3*d. Let j(g) = -4*a(g) + 11*f(g). Calculate j(o(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + (sqrt(27) + (sqrt(3888) - (sqrt(3888) - (sqrt(3888) + sqrt(3888)*2))) + sqrt(3888) + sqrt(3888))\/((sqrt(18) + sqrt(72)\/sqrt(4))\/sqrt(2)).\nAnswer: 2 + 61*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 881\/4 + (-9)\/36. Round a to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 5729235.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c. Suppose c*r + r - 24 = 0. Let q = r - -9. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 + -83. Suppose 4*d = -5*v - 12, m*v = -3*v + 5*d + 15. Suppose 2*a + 4*w - 40 + v = 0, -a - w = -24. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + 1 - (-57 - -57)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.75 - -0.75. Let l = 84 + -165\/2. Which is the second biggest value? (a) 7\/5 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 519741034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/109, 0.7, 5, 6, 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-186)\/(-2511) + (-486187)\/(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139 - 135. Let u(p) = 7*p**2 - 8*p**2 - 15*p + 16*p + d. Calculate u(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -18*((-15)\/(-9) + -2). Let q = h - -8. Suppose -3*p + 2*c = 13 - 60, p - c - q = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16156?\nAnswer: 2, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*s**2 + 9*s**2 + 30*s**4 + 14*s**2 - 8*s**2 wrt s?\nAnswer: 720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/35*5)\/(-1). Which is smaller: r or -14\/53?\nAnswer: -14\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 16*q**2 - 30*q - 4. Determine y(-8).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -733*a - 8335. Give j(-11).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 18*p + 6. Suppose -4*j + 72 = 4*w, -2*w = j - 33 - 3. Determine f(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*v**3 + 5*b**3*w**2 - 49870*b**3*w - 767*b**2*v**3*w**2 + 4*b**2*v**3 - b**2*v**2*w**2 - 4*b**2*v*w**2 + 152*v*w**2 wrt b.\nAnswer: -12*v**3 + 30*w**2 - 299220*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1934265026 = -114*v - 503168974. Round v to the nearest one hundred thousand.\nAnswer: -21400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*h**5*i**2 - 3*h**3*i**3 + 5*h*i**3 + 103*h*i + i**3 wrt h?\nAnswer: 860*h**3*i**2 - 18*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2*a - 4 + 10, -2*f - 4*a + 18 = 0. Let o(m) = 12*m - 5. Is 11 a factor of o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 4537804.1\nAnswer: 136134.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -50*j**2 - 527*j + 3. Let i(d) = 51*d**2 + 529*d + 8. Let b(q) = -6*i(q) - 4*n(q). Suppose b(g) = 0. What is g?\nAnswer: -10, -3\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9)\/a*a)\/(a**(-1)*a)*a**1*a*a**(-2\/15)\/a)\/((a**(-4\/3)\/a**(-4))\/((a**2\/a)\/a)**44) assuming a is positive.\nAnswer: a**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2812 + -1?\nAnswer: 2811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, w: 3, c: 5, b: 5, a: 5, e: 1}. Give prob of picking 2 w, 1 c, and 1 e.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d - 10*d**2 + 8 + 8*d - 14*d - d**3. Let b be a(-9). What is the highest common factor of 234 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/12)\/(6\/(-9)). Calculate the highest common divisor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 g, and 2 f when four letters picked without replacement from {c: 3, v: 5, g: 3, m: 2, f: 2}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/201 or 1?\nAnswer: -26\/201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 9*w**2 - 1\/3*w**4 + 0*w + 1\/60*w**5 + 0 - 1\/6*w**3. Suppose 3*t + 2*p + 2*p = 4, -4*t + 8 = 4*p. What is g(t)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-3))\/(4\/(-8)). Suppose -4*y = 2*n, 16 - c = 3*y. Let g = n - -13. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8869 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (0 - -4)) + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + c**2)*(2*c**2 - 1596*c + 0*c**2 + 2148*c) to the form s + z*c**4 + p*c**3 + l*c**2 + r*c and give p.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, f: 5, z: 3, t: 4}. What is prob of sequence tff?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5755*r**2 - 2125 - 1523 - 2849*r - 12156*r - 2097 + 3510*r - 5*r**3 = 0.\nAnswer: -1149, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*y + 302*y + 7*y**2 + 4*y**3 + 0*y**2 + 43*y + 12*y wrt y.\nAnswer: 24*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2299)\/(-23) + (-146)\/(-3358). Calculate the greatest common factor of s and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 7*y - 51 - 26 + 54, y - 110 = -85*j + 118 + 113 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -402, -90, 304, 786, 1362, 2038?\n\"Answer: u**3 + 35*u**2 + 200*u - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 36. Suppose -t*j = 99 - 369. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**16\/f)\/(f*f**4))\/((f*f*f**(-3\/10))\/f*f)**(5\/16))**(-9) assuming f is positive.\nAnswer: f**(-2727\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*b**2 - 255*b**2 - 262*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 7 + 37. Let r be ((-43)\/2 + 1)\/(-2). Let s = m + r. Do 0 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75523453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1061955.413 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 86112373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 63 - (-66898)\/(-1426) - 16\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 2*t**2 - 4*t - 1. Determine q(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -4*h, 20 = 3*h + h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -24\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 151*w - 177. Let x be g(2). What is the greatest common factor of 15 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*z**2 + 5*z - 5*z + 81*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1308 by 6.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1088*v**2 - 6*v + 10995154 wrt v.\nAnswer: -2176*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(3 - 3 + 3)*(-9 + 5 + 12)*(q**2 - 7*q**3 - q**2).\nAnswer: -504*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -302 + 302. Suppose u = -3*g + 19*g - 1152. Calculate the highest common factor of 63 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 1)\/(21\/(-14)). What is the second derivative of -2*d + 0*d + d - i*d**2 wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3489*d + 5669*d + 82234 + 145941 = -6947*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29468, 58935, 88402, 117869?\n\"Answer: 29467*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 14*r**2 - 4*r - 5. Let a(v) = -v**3 + 15*v**2 - 6*v - 4. Calculate -2*a(u) + 3*c(u).\nAnswer: 2*u**3 + 12*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -57\/472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:13 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16093 + -9914. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2115 = 8*h + h. Find the second derivative of -h*w**3 + 4*w + 2 - 2*w**2 + 267*w**3 - 2 - 3 wrt w.\nAnswer: 192*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 8 - 62)*(21 + 19 - 60)*(-5*u + 4*u + 0*u).\nAnswer: -1660*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a - 7. Let h be (-16)\/(-4)*(-5)\/(-4). Suppose -52 + 12 = -h*f. Let m(p) = 9*p + 11. Determine f*l(t) + 5*m(t).\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 32. Let f = -14 + d. What is the third derivative of 7*m**4 + 2*m**2 + 2*m**4 + f*m**2 - 3*m**4 wrt m?\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-1)\/(819\/26)*-2?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -203\/5 - -1033\/30. Suppose -3*a + 5*v + 57 = 0, 3*a = -a + 5*v + 81. Find the common denominator of d and 5*(-3)\/a*34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -15 + (0 - -9) + 10 - 22.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3460707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -3, -5, -2\/11, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*o**3 + 3 + 5 + 5 - 21 - 496*o**3 + 8.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2280343697 - -0.0100461.\nAnswer: -0.2179882697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13175.344+-0.572\nAnswer: 13174.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5749\/15246?\nAnswer: 5749\/15246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -224134, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = -1. Let a(c) = -c**3 + c**2 - c + 2. What is the least common multiple of g and a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhhzhhyy. What is prob of sequence yhhh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 1. Suppose -f*v - 2*z = -0*z, z = -5. Differentiate -9 - v*n**4 + 0*n**4 + 11 with respect to n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from ggyyyygygggyy?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -27. What is the tens digit of (c - 3) + 490\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -85*d - 83*d + 169*d. Give s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 4. Let f = -6 - -17. Let d = 11.5 - f. Which is the third smallest value? (a) 2 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 13. Let c be 1\/2 + (-3)\/6. Let l(p) = -p**3 - p**2 - 9. Let b be l(c). Let v be f(b). Solve x = t + 1, -2*t + 10 = -3*t + v*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6000 at most 5996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*b - 628 = 0, b - 241 = -3*i + 240. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21031123 (base 4) in base 16?\nAnswer: -935b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -101110100111110100?\nAnswer: -101110100111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*z + z**3 + 4*z**3 + 11*z)*(0*z - z - z) to the form x*z**2 + t*z + w*z**3 + k*z**4 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57576864 divided by -48.\nAnswer: -1199518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by 57\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 423 = 13*a. Calculate the highest common divisor of 94 and a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 24*h**5 - 28*h**4 - 112*h**3 + 132*h**2 + 64*h - 80 = 0.\nAnswer: -2, -5\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1717?\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*i)*(7*i**2 + i**2 + 7*i**2) + (0 - 1 - 1)*(-2*i**3 - 2*i**3 + 6*i**3) + 0*i**3 - 3*i**3 + i**3 - 3*i**3 - i**3 + 5*i**3.\nAnswer: -35*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3450513, -3450548, -3450585, -3450624, -3450665, -3450708?\n\"Answer: -u**2 - 32*u - 3450480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-546555.\nAnswer: -163966.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -15*f**2 + 24*f - 9. Let h(v) = 32*v**2 - 9*v**2 + 2 - 10*v**2 + 208*v - 10*v**2 - 213*v. Give -5*c(u) - 24*h(u).\nAnswer: 3*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m**0\/m*m)*m)*m*m)**(3\/17)\/(m**(2\/3)\/(m\/(m**(-7)\/m))) assuming m is positive.\nAnswer: m**(443\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 72 = -3*t. Suppose -d = -11 - t. What is the third derivative of -d*w**2 + 12*w**2 - 41*w**6 + 9*w**6 wrt w?\nAnswer: -3840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/4 + 5*f**2\/2 + 23*f\/4 + 7\/2 = 0 for f.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chmhmhcmchcqcdhm. Give prob of picking 2 h.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h + 35*h = -120 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (784\/(-63))\/14*18\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 + 4 + -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-375872)\/(-280))\/((-3)\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-56)\/336*12)\/(2\/29))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2215 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 1 + 0)*(5 - 3 - 1) + 3 - 2 - 2)*(-50066 + 50066 + 398*u) to w*u + i and give w.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 5*m + 1. Let x be a(5). Let z be -2*x - (-7)\/3. Let y be (-75)\/(-200)*(0 + 8\/(-18)). Sort z, y, 1 in ascending order.\nAnswer: y, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/sqrt(10) - sqrt(30))*-3)\/(-3*sqrt(216)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (3 - 6 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 312044*0.08\nAnswer: 24963.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -142679.3327 to the nearest ten.\nAnswer: -142680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 11) + -1 - (2 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 154238\/63 + 28\/(-126).\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16325.19 years to decades.\nAnswer: 1632.519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 14*x + 450. Let c = 49 + x. Factor -2\/3 + 4\/3*k - 4\/3*k**3 + 2\/3*k**c + 0*k**2.\nAnswer: 2*(k - 1)**3*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -133*t**5 - 2*t**3 + 301*t**5 - 178*t**5 - 12*t**4 - 11*t**4 + 25*t**5 + 12*t**4 + t**4 + (5*t**5 + 0*t**5 - 3*t**5)*(-1 - 2 + 5).\nAnswer: 19*t**5 - 10*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, 0.1, 0.9, -5.5, -1\/71?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2\/11*d**4 - 6\/11*d**2 - 4\/11*d + 0 + 0*d**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87982034 and 3745?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*((-32)\/2)\/32?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42266555*h**3 - 135*h - 1917 wrt h?\nAnswer: 253599330*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ookloaolos. What is prob of sequence al?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8587b6 (base 13) to base 15\nAnswer: -41d03c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911*z - 14720 = -175*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*n**2 - 28*n**2 + 14*n**2 + (-9 - 4 + 0)*(-3*n**2 + 6*n**2 - n**2).\nAnswer: -53*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 421.021 - 420. What is v rounded to 2 decimal places?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/2*d**2 - 39*d - 75\/2 = 0. Calculate d.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/3 (b) -51654 (c) -3\/4 (d) 3\/5 (e) 0.2 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3\/3 - x**2\/3 + 7*x + 15 = 0.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 5. Let q = 5 - 7. Let c be (0\/2)\/(q\/(-2)). Solve 4*t - 5*z - 20 = c, o*t - 10 = 3*t + 3*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 3:41 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 1\/14, -0.15, -2, -1\/3, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 1. Let k be g(1). What is the third biggest value in k, 0.7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/6)*j)**(3\/14)\/(j**(-14\/5)*j**(1\/4)) assuming j is positive.\nAnswer: j**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 15 = -4*j - 65, -j - 10 = -2*h. Is -3 - -3 - j\/(1 - 0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 45. Determine h(-24).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 22*f - 4. Suppose 5*k - 3*g + 40 = -74, 5*k - 5*g + 110 = 0. What are the prime factors of u(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.20385 - 34.80215. Let x = -35 - y. Round x to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 - 0. Let b = y - 3. Let q = -2.7 + 3. What is the second smallest value in b, 2\/13, q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4811, 4779, 4729, 4661, 4575, 4471?\nAnswer: 4349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 4:22 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -49. Let h = k - 4. What is the remainder when 89 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/2)\/((-6)\/(-10)). Let g = 2.18 - 2.18. What is the biggest value in -1, n, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*x + 45*x - 2*k + 44, 5*k - 65 = 5*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 16*o**3 - 2*o**2 + 1. Let n = 5 - 4. Let x be w(n). What are the prime factors of (24\/(-10))\/((-3)\/x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*385\/231?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89646377?\nAnswer: 41, 193, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + a + 21 = 0, 287463*a = x + 287460*a - 29 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 36 = 4*p. Which is the closest to 0? (a) -2 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58176 = -2*w - 3*z + 2*z, 0 = w - z + 29094. Let g = 37910 - w. What is g rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + u**2 + 6*u + 27. Let p be x(0). Suppose 4*j - 2*m = m - p, 16 = -2*j + 2*m. Is 0.8 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 55 + 74*g**2 - 28*g**2 + 60*g - 41*g**2 = 0. Calculate g.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19588 times -0.045\nAnswer: 881.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5785, -5858, -5929, -5998, -6065, -6130?\nAnswer: -6193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from ayyayyyyyyyy.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/60 + w**4\/24 + 5*w**3\/6 - 3*w**2. Let m be d(0). What is the highest common divisor of 35 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -3. Let o = i - -5. Let q(m) = -m**3 - 4*m**2 + 2. Let f be q(o). What is the highest common factor of f and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -18, -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*o - 6, -3*m = -o - 2*o - 9. Let t(h) = h**2 + 1. Let x(d) = d + 0*d - 2*d**3 - d**2 + 0 + 1. Give o*x(g) + t(g).\nAnswer: 2*g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 278, -4, -13522 in descending order.\nAnswer: 278, 5, -4, -13522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-2)\/2 - 1). Suppose 2*n + 83 + 79 = m. Let y = -77 - n. Solve -3 - 13 = -t - 3*p, -p = y*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + l = 29, -2*g + 3*l = 2*l + 15. Let s be 2\/g + (-1719)\/(-63). Solve -3*p + 12 - s = 0, -4*p - 36 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9304250 is divided by 196?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 8920*f - 363912. Determine w(-41).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 8 = 2*i + 9, -d - 2*i = 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6036 minus 0.8?\nAnswer: 6035.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 54584.99t?\nAnswer: 54584990000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251500 rounded to the nearest ten thousand?\nAnswer: 2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g. Let w(f) = 5*f**2 - 13*f - 8. Let k(o) = 6*p(o) - w(o). Let s be k(-6). Factor -1 - 6 - 1 + 2*r**4 - 2*r**5 + 10*r**3 - s*r**2 - 16*r.\nAnswer: -2*(r - 2)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2. Let m(i) = 2*i**2 + 2*i - 2. Let d be m(-2). Let p(z) = -9*z**2 + 3*z**d + 8*z**2. Determine p(n(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 2. Suppose 5*m = 6*m - 3. Let l be o(m). What is the highest common divisor of l and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/16, -102, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165 or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 360 - 307. Let y = 157 + s. Is y a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 - 10\/(-25). Suppose -6*y + 9*y + 39 = g. Let b = -11 - y. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30290 + 30290. What is the closest to 1 in 0.2, p, -5.26?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17128560?\nAnswer: 2, 3, 5, 23, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 152?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/3 - 14*w**2 - 32*w\/3 + 224 = 0. What is w?\nAnswer: -4, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-4 - (-11 - -13) - -13) - 11\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208725, 834912, 1878555, 3339654?\nAnswer: 5218209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1081798027*t**2 + 195762918*t wrt t?\nAnswer: 2163596054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11825 (base 14) in base 15?\nAnswer: -ca0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8 * -1.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 896 and 522032.\nAnswer: 4176256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3439.9 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 20*a + 11591. Let f(z) = -10*z. Give k(f(y)).\nAnswer: 100*y**2 + 200*y + 11591","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1638793 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 210 = -2*h, 0 = 3*h - 5*h. Let n = x - -45. Let w = -10 + 5. Sort w, n, 5 in decreasing order.\nAnswer: 5, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4562761 = 344*j - 603431. List the prime factors of j.\nAnswer: 2, 3, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1435484276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3284 - 19*n**3 + 3284.\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (sqrt(242) + (-1*sqrt(242) - sqrt(242)))) + -4 + 2 - ((sqrt(80)\/(sqrt(4)*-1))\/((sqrt(160) - sqrt(40))\/sqrt(4)))**2.\nAnswer: -4 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 24 = -2*z. Let h be -2 + 9 + -4 + 0. Suppose h*f + 2*w = -0*w - 15, 0 = -5*f + 3*w - 44. Is z <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 20506875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - n - 44, 21 = 3*k - 4*n + 1. Solve 5*q = -4*j + 17, 2*q + 20*j - k = 21*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {p: 2, n: 2, y: 1, a: 4, q: 2, r: 8}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-1)\/(-2)*-1. Let l(p) be the second derivative of p**5\/20 + p**3\/6 + 4*p**2 - p. Give l(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1877 is divided by 65?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 6*i**2 - 7*i + 6. Let a(r) = 2413*r**2 + r - 2*r**3 - 2414*r**2 + 3*r**3. Let b(l) = -2*a(l) + o(l). Determine b(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 58 + -1 + (-4 - -14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -997.5307 to the nearest 10.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c28831 - -3?\nAnswer: c28834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(2\/(-2))*(-81)\/54. Let o = 0.82 - 0.42. Which is the fourth smallest value? (a) -5 (b) o (c) -0.4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 75. What is the least common multiple of u and 22?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3228171 is divided by 2234.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -422\nAnswer: 3\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.57 + -1.07. Let z = 0.1 + -0.3. What is the smallest value in z, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m. Let o be (13\/(-3))\/(9\/(-81)). Let l = o + -43. Give k(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -902 + 1646. Does 24 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcykhpykpyyky. What is prob of sequence pkk?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 906.136 decades in years?\nAnswer: 9061.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/8 - (23 - 7 - 11).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**4 + 130*j**3 - 364*j**2 + 184*j = 0. What is j?\nAnswer: -46, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -46072676 times -5?\nAnswer: 230363380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -27. Let b(k) be the second derivative of 1\/45*k**6 + 0*k**3 + 1\/18*k**a + 0*k**2 + 2*k - 1\/15*k**5 + 0. Factor b(z).\nAnswer: 2*z**2*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963 is divided by 1\/((-12)\/5808*-4)?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*u**2*z**3 - 3*u**2*z**2 + 8019*u**2 - 545*z**4 wrt z.\nAnswer: 24*u**2 - 13080*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(119) - (sqrt(119) - (sqrt(119) + sqrt(119)*3*5)) - sqrt(119)))\/((sqrt(700)*3)\/sqrt(4)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Suppose -z*n = -4*w + 24, -6*w - n = -2*w - 18. Solve -5*l + 3*o - w = 2*o, l + 3*o = -17 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4064580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 462*d**3 + 23427*d**2 + 396372*d + 373404.\nAnswer: 3*(d + 1)*(d + 37)*(d + 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 451 (base 6) to base 11\nAnswer: 14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41193 or -41182?\nAnswer: -41193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63.562 + 0.038. Let y = -62 + j. Which is the second biggest value? (a) 1\/5 (b) y (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 10 + 2*v - 6 - v. Let q(z) = z**3 + 7*z**2 + 6*z + 6. Let b be q(-6). Give r(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmiaimmmmimiimmmimm.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11454 and 0.2.\nAnswer: -11453.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 1260.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*o - 902 = -o, -3*o = 2*t - 454. Suppose -p = t - 281. Suppose 0 = 4*k - 3*k - 3. Calculate the highest common divisor of p and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 5, 785277 in decreasing order.\nAnswer: 785277, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 12. Suppose 0 = -5*i + v + 103. Is i a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -23.8. Let w = -18.2 + 25. Let i = w - x. What is the second biggest value in 1, 2\/5, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43.6 + 44.1. What is the second biggest value in -4\/5, -4, 1\/12, m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8)\/f)\/(f*f*f**(1\/4)*f))**(-47)*((f\/f**(1\/8))\/f*f**11)**13 assuming f is positive.\nAnswer: f**(5737\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 1)\/3*5. Suppose -a*f + 93 + 7 = 0. Suppose 5*j - f = 0, 3*x = -3*j + 20 + 4. Solve -2*o + 3 = -l, x*l - 4*o = -0*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -311 - -315. Let w be 1 - 1\/(-2)*-4. What is the nearest to -1 in -2, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {l: 1, w: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 6064.\nAnswer: 30320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/((a\/((a*a**(-1\/2))\/a))\/a))\/((a*a**(-1\/45))\/(((a**(12\/5)*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(-97\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-2142)*-2*3. Sort -6, c, -0.6 in decreasing order.\nAnswer: c, -0.6, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -225, -325, -411, -477, -517?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 11*h**2 - 4*h - 4. Calculate v(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.889 to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 6*y + 4. Let n = -46 - -49. Suppose 5 = 5*c + 4*l - 4, 0 = n*c + l - 11. Give b(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -67*f + 11. Let m be y(9). Let u = 617 + m. Solve i + 4*x = 9 + 16, 4*i = -x + u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0 + 247. Let r = j - -252. What is the highest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639636 + 874764 = 8*a. Round a to the nearest 1000.\nAnswer: 189000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 5. Let c be t(-4). Let w(n) = -n**3 + n**2 + 6*n - 2. Let x be w(3). Let d be 16\/(-28)*(-1)\/x. What is the third smallest value in d, -7, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13018*f**2 + 0*f + 0*f + 2 + f**4 - 13184*f**2 to x + g*f**2 + c*f + a*f**3 + b*f**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 550 and 814.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13594 + -13602. Let d(o) = -3*o + 3. Let u be d(2). Put 1\/8, c, u in increasing order.\nAnswer: c, u, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73755060.\nAnswer: 2, 3, 5, 37, 33223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/300 + 6*v**2. Let k(w) = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 757, 751, 745?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -73 and 392.61.\nAnswer: 319.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -1. Let f be v\/25*5 + -4. Suppose -3*u + 35 - f = 0. Calculate the highest common factor of 88 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 + 151. Calculate the lowest common multiple of j and 80.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40218?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*w**2 + 181*w**2 + 1238*w**2.\nAnswer: 1852*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/3)\/v)\/v)**(2\/77)\/(v*(v\/v**(-11\/6))\/v*v*(v\/((v\/v**(-2\/3))\/v))\/v*v))**(-3) assuming v is positive.\nAnswer: v**(1957\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 7) to base 2.\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + -7)*1\/(5\/(-288))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767243927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/24 and -57\/1463216.\nAnswer: 4389648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 t when four letters picked without replacement from {y: 12, t: 2, a: 5}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -2. Let m = q - -3.3. Which is the closest to 0.1? (a) 2\/9 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339172742.2 less than -26.2?\nAnswer: -339172768.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 5*f + 8. Let n be a(-7). Suppose 6*w = 3*w + 39. Let l(v) = -5*v - v**2 - 12 + 4 + w. Determine l(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c*c**(-1\/4)*c)*c))**27*(c\/c**(-1))\/c*c*c**(-2)\/c*c assuming c is positive.\nAnswer: c**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199 + 8 + 209 = -13*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-368)\/(-322) - (-1440990)\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 368?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138983*x + 46410*x - 575100*x - 95474*x.\nAnswer: -763147*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 66.295 decades?\nAnswer: 7955.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -3*w, 2*w + 14 = 3*m. Let f(b) be the second derivative of 0 + 1\/18*b**3 + 1\/36*b**m + 0*b**2 + 2*b. Factor f(k).\nAnswer: k*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let h(q) = 9*q**2 + 4. Let t(x) = 1 - 17*x**2 + 0 - 2 - 6. Let v(a) = -7*h(a) - 4*t(a). Give z(v(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -58624, -116875, -175064, -233185, -291232, -349199?\n\"Answer: j**3 + 25*j**2 - 58333*j - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-1118*u + 2107*u - 1176*u).\nAnswer: -374*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h + 260. Let d(x) = x - 30. Let z(s) = -24*d(s) - 3*i(s). Calculate z(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 988 and 143.\nAnswer: 10868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 46 = -110. Let k be (-4 + 3)*(4 - m). Suppose 4*s = 2*s + 8. Solve -s*x + 8 = -k*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -2629.\nAnswer: 62\/2629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 696 and 17208?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186658 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2, 0.1, -1383, -4605 in descending order.\nAnswer: 1\/4, 0.1, -2, -1383, -4605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 + 10\/3. Let n(l) = 4*l**2 - 5*l**2 + x*l**2 - 2*l**2. Determine n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**4\/5 + 9081*i**3\/5 - 5982818*i**2\/5 + 179878461*i - 224474292\/5 = 0. What is i?\nAnswer: 1\/4, 212, 1029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + 4. Let o = -20 + g. Solve o = -j - 3*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 35*z**2 - 83730*z + 23920 = 0.\nAnswer: 2\/7, 2392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-18) - (4 + (-2141110)\/513684) and -73\/4506?\nAnswer: 13518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4775644409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v - 1. Let u(c) = 21*c + 165. Let n be u(-8). Let j(x) = -8*x + 1. Calculate n*s(r) - 4*j(r).\nAnswer: 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -17550 greater than -2404480\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/48 and -19\/1312.\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -286, -877, -2080, -4201, -7546?\n\"Answer: -51*h**3 - 234*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bd (base 15) to base 5.\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*y = 28 - 6, -4*t - 3*y + 17 = 0. Sort t, 0, 1, 5 in increasing order.\nAnswer: 0, 1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 5*c - 7. Let i(o) = o**3 - 5*o**2 + 7*o + 4. Suppose 3 = -3*w + 4*j - 3, -3*j + 3 = -3*w. Let x be i(w). Determine a(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21606116 and 60724?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 3*i + p - 44, -3*p = 3*i - 123. Calculate the remainder when i is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -1\/4*h**4 - 2*h + 1\/2*h**2 + 0*h**3 + 3. Determine m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -43*l**3 + 4*l**2 + 4*l + 3. Let y be p(-2). Suppose 3*z - 2*z = y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 53939738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2688876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14d - 22a642?\nAnswer: -22a78f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(2\/2 - 0). Let j be -4 - ((-24)\/(-6 + 14) - 7). What is the third derivative of 7*r**2 - 7*r**k + 17*r**2 - 6*r**2 - 5*r**j wrt r?\nAnswer: -1440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3529 = -43*k - 6066 for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21c7 (base 13) to base 2\nAnswer: 1001001110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (1 - 2)*-42 + (-2 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ipepeepipp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4011 is divided by 868.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*i**2 + 3*i**4 + 8*i**2 + (-8*i**3 + 2*i**3 - 12*i**3)*(0*i + 4*i - 2*i) + 2*i**3 - 2*i**3 + i**4 + (-1 - 2 + 2)*(-i - i**4 + i).\nAnswer: -31*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*a + 33518, 5*r = 2*a - 25040 - 8490. Suppose a = -35*h + 50*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 52, -9, 0.1 in descending order.\nAnswer: 52, 0.1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 1676760*m**2 - 33536700*m + 167686000.\nAnswer: 5*(m - 10)**2*(m + 335372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/1997048 and -81\/112.\nAnswer: 27958672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmff when four letters picked without replacement from {m: 4, f: 16}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-five eighths of a meter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2 and 7\/678.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -16. Suppose -3*l - n = 17. Let h = l + 4. Sort -1, 1, h in ascending order.\nAnswer: h, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 9:04 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110011000000 (base 2) to base 8.\nAnswer: -66300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 49, -33, -147, -293, -471, -681?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 3*p**2 - 2*p - 5. Let w be f(4). Let m(d) = 3*d + 9 - 6*d**2 - d + 4*d + 37*d**w. Is m(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 18. Suppose 0 = k - 2*r - 9, -10 = -n*k + 2*r + r. Let b(m) be the third derivative of m**5\/60 + m**4\/24 + 3*m**2. Give b(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.98, 22, 2, 2\/3.\nAnswer: -0.98, 2\/3, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 21. Let c be p(-7). Does 5 divide 3\/(-7) - (-572)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(81\/(-785)) - ((-2)\/(-144))\/(513\/(-2736))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 421*w**2 - w + 9. What is the thousands digit of k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499349931.\nAnswer: 3, 4583, 36319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102 - -101)\/((-574)\/(-28))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42594 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.375195 rounded to one dp?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -2509767\nAnswer: -1\/2509767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -10434?\nAnswer: -31302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 12. Suppose 2*h - 5*q = 6 + 21, 0 = -h + 2*q + k. Suppose 2 = -4*b + h. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19912286 divided by -9956143\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168543*h*n**3 - 8*n**3 - n**2 - 293*n wrt h.\nAnswer: -168543*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -34*m**2 - 20609*m - 3552. Give b(-606).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*1 - (1 + sqrt(125)).\nAnswer: -1 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1349 = 294*f + 2473 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4690, -4691, -4692?\nAnswer: -4693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/21 - 136*n**2\/21 + 278*n\/21 - 20\/3 = 0. Calculate n.\nAnswer: -70, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) -5 (b) 14 (c) -6.7 (d) 0.88\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 9, j: 5, z: 3}. What is prob of picking 2 z and 1 j?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4324011 is divided by 1529.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5492*x + 2735*x + 2719*x + 950 = 0 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 161*i**3 - i**2 + 41*i - 90. Give s(2).\nAnswer: 1276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2, 50, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 3*x**2 - 16*x - 5. Let j be -3 - (-4 - -1) - 7. Suppose -4 = a - 6. Let n(y) = 2*y - 5. Calculate a*p(i) + j*n(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -449.036544 and 957.\nAnswer: 507.963456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecrj when four letters picked without replacement from {e: 5, q: 3, c: 1, j: 2, r: 5}.\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (22 + (-2352)\/108)*((-350)\/8 + 1)\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-10) + (-3)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**3*k*q - 98*j**3 + j**2*q - 13*j**2 - 2*j*k**2*q - 9600*k*q - 37*q wrt k?\nAnswer: 2*j**3*q - 4*j*k*q - 9600*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -7 (b) -0.5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18865 times -20.78?\nAnswer: 392014.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(33))\/sqrt(3) + 0)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/6 equal to -2.392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 12. Let m be l(10). Suppose 4*s - c = 11, -3*s = -8*s + 4*c + m. Solve 5*j = s*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.84 - 0.16. Put -4, -2, q in descending order.\nAnswer: -2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 66. Solve 5*o**z - o**2 + 35 - 40*o + 2*o**2 - o**2 = 0 for o.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -10*b**2 + b - 1. Let a = 0 - -1. Let x be j(a). Is (-1)\/5 + (-512)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 6) in base 3?\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o + 1. Let j be f(-2). Suppose -3*k - 5*a + 16 = -j, k + 7 = -5*a. Let g(c) = c**2 + 25. What is the remainder when g(0) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3899 + 3897. Let g(q) = -16*q**3 - 9*q**2 + 5*q + 11. Let c(y) = -3*y**3 - 2*y**2 + y + 2. Calculate l*g(d) + 11*c(d).\nAnswer: -d**3 - 4*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:03 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 784 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 1)*(-45)\/(-18). Suppose -g*b = 3*v - 31, -4*b + 5*b - 5*v = -5. Let k = 0.3 + -0.5. What is the second biggest value in 4, b, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 358938842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 196800 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*f - 3)*(-7 + f + 7) + 0 - f**2 + 0 + f + 2*f**2 - f + 0*f + f**2 + 0*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 126 = -7*j. What is the common denominator of (j\/(-35))\/(11\/((-6050)\/80)) and 57\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190836*a**2 + 190836*a**2 + a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 75 - 89 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4219.344515 to the nearest 10.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 8*h + 6*h + 4*h)*(242*h - 251*h - 324*h + 2*h**2).\nAnswer: 4*h**3 - 678*h**2 + 1998*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(154)*3 - sqrt(154) - sqrt(154)) + sqrt(154))\/sqrt(7))\/sqrt(2) + (1*(sqrt(11) + sqrt(1100) + -1))**2.\nAnswer: -20*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 777*b + 11*b**3 - 777*b + b**2.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c6032 - -1?\nAnswer: 2c6033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75182, -149988, -224418, -298472?\nAnswer: -372150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:55 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-48 - -44)*-2*(-1770)\/(-8) is divided by 51.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - sqrt(2) - sqrt(2)) + 1)**2 - ((sqrt(2) + -1 - sqrt(2)) + -5).\nAnswer: 6*sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10027 (b) 0.5 (c) -145 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.8 - 9. Let d be (-2 - -2) + (-4)\/6. Sort d, 0.3, s.\nAnswer: d, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 1\/11 (c) 3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 - 371.\nAnswer: -371.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2. Let g(k) = 2*k**2 + 62. Calculate g(w(f)).\nAnswer: 2*f**4 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 2*c**2 - 2*c**2 + (25*c - 25*c + 10*c**2)*(4 - 6 + 4) + 12*c - 12*c - 62*c**2.\nAnswer: -44*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -15797849 smaller than -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - (sqrt(684) + 2*sqrt(684) + 0)) + (sqrt(684) + -2)*1)**2 + 3*(sqrt(684) - sqrt(684)*-1) + (5 + 1*sqrt(684) - sqrt(684)).\nAnswer: 60*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3*l**2 - 1148*f*l**3*z**2 - 2*l**3*z**2 - 3651*l*z**2 with respect to f.\nAnswer: 3*f**2*l**2 - 1148*l**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*t + 30861 = 31*t + 104*t. What is the greatest common divisor of 28194 and t?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0742 < 4.76647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 28*r**3 + 27*r**2 + 2*r + 2. Let g(n) = -29*n**3 - 28*n**2 - 3*n - 3. Let p(u) = -2*g(u) - 3*l(u). What is the third derivative of p(a) wrt a?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (178 - 179)\/(((-3)\/2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 f when four letters picked without replacement from {f: 5, u: 13}?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n + 39 = 0. Let q(g) = g**3 + 4*g**2 + 8*g - 17. Let z be q(4). What is the greatest common divisor of n and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (134 - 149) + -10 + (-10 - (-5 - 11))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(11\/(-1))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 8:21 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 369490573 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 28*m**2 - 5. Let g(d) = 182993*d. What is a(g(r))?\nAnswer: 937620265372*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 9 = -3*y, 6*g - 5*y = 5*g + 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.5, 0.3, 2\/63, 11002?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - b + 1. Let t(z) = -z**3 + z**2 + 4*z - 7. Determine 3*o(x) + t(x).\nAnswer: 2*x**3 + x**2 + x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(27\/7)*(d*d**(-4))\/d**(1\/3))**(1\/9) assuming d is positive.\nAnswer: d**(11\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 5:47 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + -13 - 0) + -1 + 2 - -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 17 = -328. Let l = -344\/3 - o. What is y in 4\/3*y + l*y**4 + 8\/3 - 2*y**2 - 1\/3*y**3 = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 185, 230, 281, 338?\n\"Answer: 3*y**2 + 36*y + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200191959 to the power of 1\/3, to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -885*w + 1147. Let p(l) = 1763*l - 2294. Let j(q) = 11*n(q) + 5*p(q). What is the derivative of j(k) wrt k?\nAnswer: -920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(13) + 2 + 2 + -3)**2 + (0 + sqrt(13)*-4 - (0 + sqrt(13) + 3)) + -2)*6.\nAnswer: -78*sqrt(13) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -35, 0, 8, -13, -32 in descending order.\nAnswer: 8, 0, -2, -13, -32, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14308)\/141036)\/((-14)\/(-4))?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 901.\nAnswer: -63\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvevvvvvvvvvvv. Give prob of sequence vve.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p = 35*p + 7264. Let a = -499 + p. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5*h + 568*g**5 - 8*g**2 + 26*g - h + 2 wrt g.\nAnswer: 60*g**2*h + 34080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, 0, -1.2, 1210.627 in ascending order.\nAnswer: -4, -1.2, -0.3, 0, 1210.627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 636 + -631. Solve 3*g - b + 1 = 2*g, s*g + 3*b = -21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-12 + -16 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 1, v: 1, q: 4, a: 4}. Give prob of sequence qars.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + a - 557 = 0, -4*a - 642 = -4*r - 70. Calculate the highest common factor of 84 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-seven fifths of a microsecond?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -116*p - 118. Give k(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 129, -2\/91, 9\/17?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 38*o + 72. Let s = -349 - -319. Is m(s) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 192 = -40. Let c = a + -35. Suppose -c*b + 26*b = 57. Calculate the remainder when b is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -343 + 350. Solve -p*t = -63 + 56 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c - 60 = 18*c. What is the third derivative of -242*v**4 - 198*v**2 - v**5 + 233*v**c + v**5 - 9*v**6 wrt v?\nAnswer: -1080*v**3 - 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*h = -648, 5*p - 3*h - 1294 = -490. Solve -152*y = -126*y + p for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9179*j**3 + 0*j**2 + 9185*j**3 - 27542*j**3 + 0*j**2 + 9177*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -8, -2 in ascending order.\nAnswer: -15, -8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 4*y**2 - 7*y - 8. Let g be a(-5). Let c(n) = -3*n**2 - 5*n + n**g + 5*n. Let h(z) = 14*z**2. Calculate h(c(m)).\nAnswer: 56*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9946.618 micrograms?\nAnswer: 0.000000009946618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.35 + 0.16. Let a = 0.64237 - 0.4522. Let u = d + a. Round u to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/73 - -87\/511. What is the nearest to 1\/2 in x, -0.03, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, w: 1, z: 4}. Give prob of picking 1 w and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23326*s**3 + 11654*s**3 + 11682*s**3.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/39, -7, 2, -2\/7, 8\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 22 = -4*a + 74, -5*a - 25 = 0. Calculate the remainder when 106 is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72330 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 6*z - 3. Let n be c(-5). Suppose 3*s + 63 = 5*l, n*l + s - 10 = 6*s. Find the second derivative of 15*m**2 - 6*m**3 - l*m**2 + 9*m wrt m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 114 - (-39)\/26)*-12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.7 + 14.7. Let z = -28 + h. Let v = z - -18. Is v less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 313?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*c + 15 = 0, 10 = 2*m + 3*m + 5*c. Let k = -24 + 25. Let o be m\/(2\/(-4)) - k. Let p(b) = -5*b**2 - 2*b + 1. Calculate p(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from exelj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wisssswuwi. Give prob of picking 1 u and 1 i.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011110 + -1010?\nAnswer: 1100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -27*x - 239. Let m be o(-9). Calculate the remainder when 566 is divided by (6\/(-6))\/((-3 + m)\/(-71)).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**5\/20 - x**4\/12 + x**2\/2 + x + 1. Let h(y) be the first derivative of i(y). Calculate h(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*g + 40*g - 16*g to o*g + k and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 7*l**2 - l - 6. Suppose -2 + 0 = a. Let m be (-132)\/20 + a\/5. Determine i(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -12, 7, 44, 105, 196, 323?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -69*u + 117. Determine w(0).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 574397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 6*j - 20 - 25 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*y + 13 - 28 + 15 as c + j*y and give j.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3 - (16 + -14) - (0 - 16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7117*f**3 - 8*f + 295610 wrt f?\nAnswer: 21351*f**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 247947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iki when three letters picked without replacement from {k: 2, d: 2, c: 1, l: 5, i: 10}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 14*u + 144. Let n = -1 + u. Differentiate 5*i + 13*i + 11 - 18*i - n*i**4 wrt i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 9:22 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208447 divided by -5.\nAnswer: -208447\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, 1\/5, -6\/7, 0, 45, 0.4, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 50*b**2 + 864*b + 50334. Give z(-52).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 638361 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1938930 and 52920.\nAnswer: 69801480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28321 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/3*0)\/2. Suppose m = -2*j + 13 - 3. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, m: 4, z: 5, o: 2, v: 2}. Give prob of sequence mmb.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -18*c**2 - 33*c + 4. Let r be t(-5). Let p = r - -309. Calculate the remainder when 110 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4502293969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 162*z**2 + 2910*z + 1403. Calculate q(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-74 - -80) - (-9 + -2 + 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839, -645, -3093, -6505, -10881, -16221?\nAnswer: -22525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -311.95 + 305. Let w = q + 7. Let a = 180 - 721\/4. What is the smallest value in w, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68794566 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*l - 15, -l = 4*k - 19 - 6. What is the lowest common multiple of k\/(20\/12) + 3 and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**5 + 146*v**4 - 422*v**3 + 134*v**2 + 424*v - 280 = 0.\nAnswer: -1, 1, 2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151\/11 - 741\/55. Is i > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - h = 15, 0*j - 5*h = -4*j - 45. Let r = -10.5 - -11. Let x = r + 1.5. Which is the nearest to -2? (a) -4\/7 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*p = 105. Let r(u) = u**2 + 2*u + 3. Let x be r(-2). Let n(t) = t**3 - 5*t + 2. Let v be n(x). Calculate the greatest common divisor of p and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 227.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**2 - b**2 + 6*b**2 - b**2 - 2*b**3 in the form v*b + p*b**3 + g + w*b**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 285114534 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -8*u + 0*u**3 - 1\/33*u**4 + 1\/110*u**5 + 0*u**2 + 1\/165*u**6 + 2. Factor y(k).\nAnswer: 2*k**2*(k - 1)*(k + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**3 + 7*x**2 - 6*x - 5. Let d(f) = -15*f**3 - 15*f**2 + 13*f + 11. Let l = -45 + 32. Give l*g(o) - 6*d(o).\nAnswer: -o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1081 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-1\/2)\/b)**11)**(-22\/9))**(-32))**(-1\/17) assuming b is positive.\nAnswer: b**(3872\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + (1 + -1*sqrt(1377) - (sqrt(1377) + 0 + sqrt(1377) + 1)) + 3 + -5)**2.\nAnswer: 12393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-one fifths of a centimeter?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-41)\/(-12))\/((-20)\/(-4188)). Let o = x - 716. What is the common denominator of o and -137\/150?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -v - 1. Suppose 8*h = 3*h + 155. What is the remainder when h is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114331 + 22444?\nAnswer: -41332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 17. Suppose -p = -5*p + a. Suppose 5*n + 0*n + p*i = 90, -50 = -5*n + 4*i. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -381800 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24604468 by 2.\nAnswer: 12302234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -360, -578, -796, -1014, -1232?\n\"Answer: -218*c - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 50412 = -10*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((1*sqrt(405) + -3 - sqrt(405)) + -2)**2 - (-5 + (sqrt(180) + -2)**2 + -1)) + 4.\nAnswer: -48*sqrt(5) + 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 > 587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r**2 - 74*r - 2. Suppose -7*q - 79 + 179 = -27*q. Determine w(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2)*32\/(-6). Suppose -4*d - 4*n - l = -d, d = -n - 2. Solve -r + t + 0*t - 4 = 0, d = -r - 3*t + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 133\/4*t**4 + 0*t**2 - 84 - 94\/3*t**3 + 0*t. What is the third derivative of x(m) wrt m?\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*d + 1. Let b = 17 + -9. What is the remainder when b is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**(-6)*x)\/(x*x*x**(1\/7)\/x))\/(x*x**(-5)*x**7))\/(x**(-7\/3)\/(x*(x*x**(-4)*x)\/x*x*x*x)*(x**(-2\/5))**(23\/3)) assuming x is positive.\nAnswer: x**(394\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 140279627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = 4*d. Let t be 2\/11 - d\/(-22). Suppose -4*q - q = t. Is -2\/5 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431193 is divided by 215216.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5*52233\nAnswer: -261165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102 > 4541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-126) + 76\/(-8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -6. Suppose 2*u - 30 = f*u. Let v = u + 28. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11381 + -11381.12778. Let v = a - 35.07722. Let x = -35 - v. Round x to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8879727 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 - -96. Let q = 118 - l. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/6 and (2\/(-15))\/((-8)\/1490)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 3*l + 3*k, 0 = -157*l + 158*l - 4*k + 4 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvkf when four letters picked without replacement from {k: 2, v: 1, z: 8, f: 2}.\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018093 is divided by 1694?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 2. Let h be 4\/(-12) + 106\/3. Suppose -h = -l - s, 4*l + s - 14 = 120. What is the greatest common divisor of l and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Solve 118*x - 7308 = 58*x - 143*x for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 2\/11 (b) 3 (c) 792 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6650282ml to litres.\nAnswer: 0.0006650282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7745858, -7745912, -7746052, -7746320, -7746758, -7747408, -7748312, -7749512?\n\"Answer: -7*r**3 - r**2 - 2*r - 7745848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 3*h**7\/7 - h**6\/2 + 54*h**3 + h + 82. What is the third derivative of a(y) wrt y?\nAnswer: 360*y**3 - 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -3\/797924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27446.\nAnswer: 2, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35302 is divided by 1007.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17277457 = 17277456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -265362*f*o**2*r**2 - 2*f*o*r**2 + f*o + 2*f*r**2 - o*r**2 + 8560*r + 2 wrt o?\nAnswer: -530724*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33808352203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**2*p**2 - 4*m**2 - 41*m*p - 456*p**3 - 2*p wrt p?\nAnswer: -4*m**2 - 2736*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*l = -2*t + 16, -4*l + 11 = 5*t. Let m be (-3)\/(t\/(-2))*(2 + 0). Solve m*g + 0*g + 8 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1888 = 144*s + 2677 - 1397 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/297 + (8\/22)\/(-2). Let h be (-1*(-10)\/(-4))\/(8\/16). Sort -0.2, h, z in increasing order.\nAnswer: h, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -55, -16.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 a factor of 28698702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j + 3*f - 3 = 0, -2*j - 5*f - 9 = 0. Suppose 14 = j*s - 19. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648059519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10683 (base 9) to base 5\nAnswer: 211442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 14. Suppose c*x + 11 + 14 = 0. Which is greater: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*j**3 + 34*j**2 - 34*j**2 - j**3 + 0*j**3 + 0*j**3 + (0 + 5 - 3)*(j**3 + j - j))*(-865 - 21*j**2 + 865).\nAnswer: -231*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 13*f**3 + 715*f**2 - 716*f**2.\nAnswer: 7*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.33899 centuries to millennia.\nAnswer: 7.333899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502508.9ml to litres.\nAnswer: 502.5089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) -4 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + v - 7. Suppose 3*t + 4*t = 7. Let f be (-1)\/(-3) + 4\/6. Let u = t - f. Calculate q(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - a. Let h(c) = -4*c**2 + 6*c. Let t(o) = -h(o) - 5*u(o). Let n(d) = -2*d**2 - d. Let m(k) = -16*k + 33. Let z be m(2). What is z*n(b) - t(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9534*x = 9542*x - 100512. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -14*c + 13. Solve c = 3*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = 2. Suppose -k*t = -10 - 18. Calculate the least common multiple of t and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 at least 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 46, 72, 118, 190?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190774242 + 151284007839\/793. Let k be 148\/26*(-225)\/30. Let j = b + k. Is j <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104255 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 14*l + 9*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-1))\/(9\/6). Let z(c) = -c**3 + 10*c**2 - 5*c - 12. Let j be z(9). Let x be (-16)\/j + y\/6. Sort 1, x, 4.\nAnswer: x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1559*d**2 - 3134*d**2 + 38 - 17 - 21 + 1549*d**2.\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvhah. Give prob of sequence hagh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1548 and 3?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90443 is divided by 324?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 15*s + 2*w + 6 = 0, 0 = s + 4*w - 12. Solve 2*o - 24 = s*r, r + 5*o - o - 14 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((7 - 10) + -2 + 4). Suppose -t*s = z - 0*s + 6, 2*z - 4*s - 28 = 0. Solve -5*p + z = -7*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 193*z = 3*k + 185*z - 80, 5*k + 10*z + 100 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -538*u - 292*u + 301*u - 1 in the form v*u + q and give v.\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162\/27*3\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 1\/33 (c) -2\/5 (d) -5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -20495360?\nAnswer: -20495360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 36*q**2 + 122*q + 194. Determine t(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - -46) + (1 - 0) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -301 - 13*r - 3*r**2 + 4*r**2 + 303 to the form s*r**2 + x*r + k and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 23, 41, 59, 77?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 23 = 3*s, -2 = 2*j + s + 5. Let l be (3 + -3)\/(-20 - -19). Sort -5, l, j, -1 in ascending order.\nAnswer: -5, j, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*o = -50*o - 2*w - 178006, -118656 = -2*o + 5*w. List the prime factors of o.\nAnswer: 2, 29669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 14) in base 7?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 7*a - 10. Let o be g(8). Let s be (5\/o)\/5*0. Suppose 254 + 160 = b - w, s = 3*b - 4*w - 1243. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 9, 1\/2, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15745 and 3377135.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**3 + 17*l**2 + 142*l - 513. Give f(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -10*o - 3. Give n(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-76) + -1 - (-2430)\/(-342)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 1.311\nAnswer: 2.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 488402 and 472?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 + 10*w + 32. Let c be a(-4). Solve -9*g - c = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10*t = -115. Let v = t + 2. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140504 is divided by 227?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3216 divide 158416944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -178, -208, -238, -268?\n\"Answer: -30*t - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1136554 is divided by 1478?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110110 + 1010101?\nAnswer: 1001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 20. Is 4 a factor of w(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20286 and 392?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 101*u - 1. Let d(z) = -z. Let n(i) = -2*d(i) + p(i). Is n(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 37024.\nAnswer: 7404.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 - 3. Let p(z) = 7*z**3 - z**2 + 5. Let j(n) = 5*l(n) + 3*p(n). Find the third derivative of j(s) wrt s.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**2 + 88*h - 265. Give x(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/480 and -119\/6840.\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 + 7 = 0. Let m(p) = -187*p - 3551. Let r be m(-19). Solve -y + 3*j = r, 0*y - 3*y - q*j = -18 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2106 divided by 39\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 3363802676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-29200)\/96)\/(-73))\/((7\/2)\/(-7)).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6740 or -4839?\nAnswer: -6740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-5 - (2 - 16 - (-15 - -12)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154589533?\nAnswer: 7, 47, 469877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 2*-5*sqrt(3) - (sqrt(216)\/sqrt(6))\/sqrt(12))**2 - 2*(-3 + sqrt(27)*-4)) + 4.\nAnswer: 24*sqrt(3) + 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yseyyye. What is prob of picking 1 e and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 5. Let h = u + 8. What is the units digit of (-2)\/4 - h\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 8, 4 in descending order.\nAnswer: 8, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a**3 - a**3 - 6*a**3)*(2*a - 4*a + 4*a) + 14*a**4 - 3*a**4 + 4*a**4 to the form u + j*a**2 + s*a**3 + h*a + d*a**4 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 7:15 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30698 is divided by 258?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by -8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 15, 51, 123, 243?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**3 + 318*s**2 + 144*s - 2843. Calculate b(-63).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.05 (b) 2\/7 (c) -29\/24 (d) 0.1 (e) 9\/4 (f) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.77 - 0.67. Let v = o - -0.9. What is the third biggest value in v, 10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66 in -3, 3, -4, -0.0354, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.444? (a) 5 (b) -1 (c) -0.4 (d) -4 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 58171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/4 and -75\/392?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, p: 1, b: 2, a: 1, t: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 - z - 1 - z**3 + 2*z**2 + 5*z**2. Let p be h(3). Which is smaller: p or -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6325 (base 8) to base 4\nAnswer: -303111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203822*a - 203823*a - 9 = -w, 2*w - 63 = 11*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/828)\/(3\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1167114 divided by 389038.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from eeaaeaeaaaaaaa.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/60 + o**4\/4 - o**3\/2 + 4*o**2. Let w(c) = 56*c - 7453. Let n be w(133). Give y(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111 - 10101100101?\nAnswer: -10011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 23*f + 3. Let u(c) = -8*c - 1. Calculate 6*o(b) + 17*u(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17733136, 70932528, 159598180, 283730092, 443328264?\nAnswer: 638392696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/2437 + 4908\/41429. Which is the nearest to 0.03? (a) -0.9 (b) r (c) 4\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4010 divided by -459\nAnswer: 4010\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -19. Let f(o) = 2*o**2 - 9*o + 11. Calculate the smallest common multiple of f(r) and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -64, -121, -174, -223, -268, -309?\n\"Answer: 2*q**2 - 63*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 6 - 7 - 7. Put i, -1, -823 in increasing order.\nAnswer: -823, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 10.5. Let n = k - -42.49999658. What is n rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 3101960.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7617305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 + (5 - 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qouo when four letters picked without replacement from oqvoouaauoquaqnaq.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42112331 (base 5) in base 2?\nAnswer: -1010100111011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 2*h + 4. Let j be a(-5). Let r(u) = 3*u**3 + u**2 + 3. Let b(x) = -8*x**3 - 3*x**2 - 8. Let m(n) = j*r(n) - 4*b(n). Give m(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 7*h**2 + 58*h + 263. Give o(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000237544 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 8*o - 7. Let k be c(6). Suppose 4*b - k - 7 = 2*v, 0 = 3*v. Solve b*h + 2*h = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6583 bigger than -6583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -91, -482, -1133, -2044, -3215?\n\"Answer: -130*f**2 - f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136 + 211.5. Let g = -76 + w. What is the closest to -3 in 2, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3 = 11. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + o**2 - 12. Let h be r(0). Let s(x) = -x**2 - 15*x - 29. Let c be s(h). Find the second derivative of 0*w + 8*w + 4*w + c*w**2 + 7*w wrt w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1))\/m**(3\/4)*m**2*m*m*m*m**(-13) assuming m is positive.\nAnswer: m**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 6*w**2 + 10*w - 21. Let g = -67 - -66. Let m be (-8)\/12*g + (-57)\/(-9). Let j be y(m). Solve j*v = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.46 - -5.586. Let v = -9.906 + 8.42. Let w = s + v. Round w to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 38. Solve -2 = h*j + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 18 (b) 0 (c) -0.7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27713 - 19248. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, f: 5, p: 2}. Give prob of picking 1 m and 2 f.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 60?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71.6*5.2.\nAnswer: -372.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2\/9 + 148645*n\/9 + 72178436\/9 = 0?\nAnswer: -484, 149129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 25 + 7 = 0. Let n = y + -6. Let f(j) = -2*j + 6. Let p be f(-2). Calculate the greatest common divisor of n and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3801 = -387. Suppose q = z + 4*q - a, 0 = z + 2*q - 1134. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585259 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6489, -6514, -6579, -6702, -6901, -7194?\nAnswer: -7599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160945 + 107039 = 48*g. What are the prime factors of g?\nAnswer: 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1644 (b) 1\/4 (c) 1\/9 (d) 0.12 (e) 0.022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3 + 0*p - 3*p + 0*p. Let k(j) = -13*j - 13. Let b(v) = v**2 - v - 2. Let f be b(-2). Determine f*k(a) - 18*g(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.394 - -11.994. Sort 4, h, -19\/33 in decreasing order.\nAnswer: 4, h, -19\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2. Let l(h) be the third derivative of 5\/12*h**4 + 0*h**3 + 40*h**2 + 0*h + 0. Determine g(l(b)).\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -394.2 - -394.5. Let y be (-35)\/(-30) + (-2)\/(-6). Let d = 6 + -8. Which is the smallest value? (a) d (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 11*w = -2529. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 116 = -28*a. Let h = 30 - 23. Calculate the remainder when h is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5425362 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: Evaluate -2 - -2 - (-10 + 7 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9897, -10057, -10217?\n\"Answer: -160*p - 9737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3578 and 17.\nAnswer: 60826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6624.873 to zero dps.\nAnswer: -6625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.477 - -0.48. Let g = r - -0.047. Let m = 0.35 + g. Round m to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + (0 - 27) - (-36 - -26 - -7).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 2*d. Factor -4*f + 7*f + 4*f**2 + 2*f**d - f.\nAnswer: 2*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/34 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 54\/(-36)*6\/1. Let l be 1 + 0 + (84 - -5). What is the highest common factor of l and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 2*n**2 + 2*n - 4. What is the smallest common multiple of 24 and h(-4)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -53 and -74.694?\nAnswer: 21.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -1\/36*y**4 + 0*y**3 + 0 + y**2 + 0*y - 1\/45*y**5 - 1\/180*y**6. Let t(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 29, 226.7, 1 in descending order.\nAnswer: 226.7, 29, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(432) + sqrt(12))**2 + 3.\nAnswer: -1173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 1. Suppose -12*w - 5 = -7*w. Let o be u(w). Let y(n) = 3*n**2 + 0*n**o - 2*n**2 + 5 - 2*n**2 + 3*n. Calculate y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**6\/105 + s**5\/70 + s**4\/42 - s**3\/21 + 9*s - 1. Let g(n) be the first derivative of l(n). Find u, given that g(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonlhjw. What is prob of picking 1 j and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3175*w**3 + 12*w**2 + 4*w + 5. Let q be l(-9). Let d = q + 1113634. Round d to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*1)\/(2*sqrt(324) + sqrt(324) + sqrt(324) + sqrt(4)).\nAnswer: 5*sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*j + 86*j - 15 = 4*f - 171, 2*f = 5*j + 16 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -73146*q**3 - 8*q**2 + 158*q + 616. Let l be v(-4). What is l rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -65. Let j(o) = -9*o**3 + 5*o**2 + 3*o + 5. What are the prime factors of j(v)?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + (2 + 4*sqrt(847) + 4)*-2 + -4)**2.\nAnswer: 3168*sqrt(7) + 54532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = 2. Let p(y) = 3*y**3 + y**3 + 3 + g*y - 4*y**2 + y - 4. Is p(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-57)\/9*(-9 - -6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2044 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58197 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2991579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.336 + -0.31. What is p rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 12 = 4*o - d, -4*o - 2*d + 12 = 0. Solve 0 = 5*l + 3*n + 29, 0 = -l + n - o + 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142319449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -16*p - 825. What is t(-51)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*o + 3*t - 28, 4*o - 2*t + 56 = 0. Let d be o\/(-2)*(-44)\/(-33). Let n be (d - 3) + 185\/(-40). Which is smaller: n or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116475426 to the power of 1\/3, to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6606994*v - 40593. Let t(j) = 1953*j - 12. Calculate 4*f(k) - 13531*t(k).\nAnswer: 1933*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 7*y**2 - 29*y + 16. Determine j(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3337.4 - -3337. Let b = -5 + 7. What is the closest to 1\/3 in 1.9, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(-120*y + 86*y + 86*y) - 7 - 5 - 3*y + 10 to the form z + h*y and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 56376 divided by -2\nAnswer: -28188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*v + 14 - 4, 2*u = 4*v - 50. Suppose 0 = 6*n - v*n + 12. Solve x = -4 + n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 - b**3 + b**3 + b**3 - 5*b**3 + b**3 + (152*b - 152*b + 4*b**2)*(0*b + 0*b + b) as j*b**2 + o*b + n + q*b**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -2. Suppose p*m - 9 = -m. What is the second derivative of -m*i + 6*i**2 - 4*i**2 - i**2 wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = 0, -6*j + 2*j = 3*m - 11. What is the second derivative of -14*a**j - 78*a + 64*a + 3*a**2 wrt a?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-16)*-1)\/(3\/(-8)). Let a(g) be the second derivative of -1\/18*g**4 - 1\/3*g**v + 2*g + 0 - 2\/9*g**3. Factor a(z).\nAnswer: -2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-684)\/(-1008) + (-8)\/(-14). Let d = l + -3\/2. Which is the nearest to 8? (a) -0.1 (b) -3\/8 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -50, -2\/9 in decreasing order.\nAnswer: 3, -2\/9, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/15)\/((-1)\/(-5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2*c + c)*(c**2 - 2*c**4 - c**2).\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5408.2 to the nearest one hundred.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*4\/10*(41180\/(-16))\/(-29). Suppose -4*g - 249 = 39. Are y and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/6)\/((-6)\/(-9)). Suppose -b*o + 70 = -0*o. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*z + 1636 = -0*w, -3*z + 9 = 0. What is the tens digit of w\/(-28) + 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*p**2*x**2 + 11*p**2*x*y**2 + 628*p*x**3*y**2 + 23*p*x*y + 14*x**3*y wrt y.\nAnswer: 22*p**2*x + 1256*p*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 782362577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/1)\/(2\/4). Let s(c) = -c + 0*c - o*c. Let v(w) = -16*w**2 + 27*w**2 - 9*w**2. What is s(v(g))?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2355 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j*x + 32668116*j + 1162894*x - 100 wrt j.\nAnswer: x + 32668116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 537998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/390)\/(((-3)\/4)\/(-3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 4*o - 2. Let b be 2\/8 - (-17)\/(-4). Let p be x(b). Let t(k) = k + 7. Let i(j) = 1. Let l(z) = -6*i(z) + t(z). Calculate l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0964461 to four dps.\nAnswer: 0.0964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, 93, 295, 675, 1293, 2209, 3483, 5175?\n\"Answer: 10*f**3 - f**2 + 17*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.237 - 0.637. Which is the nearest to o? (a) -3 (b) -0.5 (c) 3\/2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/(-9))\/((-21)\/(-126))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 155\/93*78\/10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-97)\/((-51216)\/6270) - 13?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 641*x**4 - 300*x**4 - 273*x**4 - 13*x**3 to z*x + a*x**2 + g + r*x**3 + k*x**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-114) - (265\/55 - 5)\/((-216)\/(-3222))?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.6 + 5. Let o = -2.6 - x. Let w = 0.1 - 0. Sort w, 2, o in decreasing order.\nAnswer: 2, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -217, -2 in descending order.\nAnswer: 4, 2, -2, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 6) + -1 + 3. Let z be ((-36)\/1)\/(a - -1). Let m = z + 34. Is -1 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1832.987 to the nearest 10.\nAnswer: -1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4782*x**3 + 4784*x**3 - 9573*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 1. Suppose -4*l + 3*t - 8*t = 6, 2*l = 3*t + 8. Determine h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -19 + 52 - (-11 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57949 and 9369?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -378719 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 8. Let o(v) = v + 1. Let j be o(-7). List the prime factors of i(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1024812246 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 143779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**8\/(((s\/(s\/(s\/((s*s*s**(-10)\/s)\/s))))\/s)\/s*s))\/(s**(-11)*s*s**(-15)*s) assuming s is positive.\nAnswer: s**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147.3 - 147. Let v be ((-4)\/6)\/((-14)\/(-6)). Which is the nearest to 2? (a) t (b) v (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 58. Let j = 20 - 15. Let y = 0.213 + -0.013. Which is the closest to -0.7? (a) j (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 5*t - 5. Let m be y(5). Suppose -5*g - 3 = -4*g. What is the remainder when 5 is divided by (g\/(-9))\/(m\/(-45))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -662924*p**4 - p**3 + 2278624 with respect to p.\nAnswer: -2651696*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*q = -4917 - 3912 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4516*p + 11. Let v be l(3). Let w = v - -5737. What is w rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*u - 502 = 5*o, o - 2*u - 251 = 0. What is the remainder when o is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*c - 0 + 2, 2 = o - c. Suppose 4*a + o = 3*t - 3, -5*t = a - 38. Suppose -t*s = -944 - 6763. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 9*u**2 + 4*u**2)*(5*u**2 - 4*u**2 - 9*u**2 + (-u - 4 - u + 2)*(u - 3 + 3)).\nAnswer: 70*u**4 + 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiviivii. What is prob of picking 3 i?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o. Suppose o*p + 5*p = 0. Factor p*h - 1\/3*h**2 + 1\/3*h**3 + 0.\nAnswer: h**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2105.4 + 2085.4. What is the nearest to m in 3, 0, 0.4, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-6)\/2)\/(-1) - -2. Let m be 3 - t - (-6 - -2)\/(-4). Solve 4 = -4*w - m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 2*i = -132. Suppose -i*c - 45 = -56. Let r(u) = u**2 - u + 1. Let p(w) = -2*w**2 + 5*w - 6. Give c*p(q) + 4*r(q).\nAnswer: 2*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8311*l + 14004039. What is i(1685)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -13*o**2 + 3*o + 1. Suppose 1 = -n - s, -4*n - 5*s - 6 = -3*s. Let y be x(n). Let m = y - -87. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -28425 and -11.68.\nAnswer: -28436.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + sqrt(2)*-2 + sqrt(2) + sqrt(18)*-1 - (-3 + (sqrt(2) - 2*2*sqrt(2))**2)).\nAnswer: 16*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y = -2*u + 10, 5*y - 10 = 3*u. Let m(w) = 4*w + 3*w**2 + w**3 - y*w**2 - 6*w - 1. Suppose 4*j - 11 = -3. Give m(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 4 - -8) + (-3 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -43*b + 115. Let f(a) = -64*a + 175. Calculate 8*d(c) - 5*f(c).\nAnswer: -24*c + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6)*1*6*(-2)\/105?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1707920 divided by -7.\nAnswer: -1707920\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1856 and -23\/576?\nAnswer: 16704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4060, 16140, 36252, 64408, 100620, 144900, 197260, 257712?\nAnswer: 326268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, g: 1, e: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110968 is divided by 702.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27.88183um?\nAnswer: 0.02788183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*579\nAnswer: -173.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-330)\/(-1650)*375\/35.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 10392900?\nAnswer: 10392900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 - -53) + -37 - -79.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 - 80 = 2*b. What is the remainder when b is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338205580 to the power of 1\/2, to the nearest integer?\nAnswer: 18390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 174820350 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: Is 33 a factor of (-2)\/8 - 9711\/(-156)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*-2*sqrt(66) + 5*sqrt(66)*-1)*2)\/((sqrt(48) + sqrt(384)\/sqrt(8))\/sqrt(8) + -2*sqrt(54)))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9034555?\nAnswer: 5, 41, 44071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45304 + -31050. List the prime factors of c.\nAnswer: 2, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13143019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2698*k - 11248 = -602 + 21915 - 185 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*i**2 - 53 - 32*i - 34*i**2 - 27.\nAnswer: 4*(i - 10)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 874 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c**5\/5 - 258*c**4\/5 - 936*c**3\/5 + 6672*c**2\/5 - 1776*c + 2016\/5 = 0. What is c?\nAnswer: -6, 2\/7, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 + 26 = 6*y. Let s be (2 + -4)\/(y\/6 + 2). Suppose -d = -3*d + s*w + 262, 5*d = -4*w + 655. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**3 + 13*j**3 - 12*j**3 + 2*j.\nAnswer: 7*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -22?\nAnswer: -7\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967540.\nAnswer: 2, 5, 98377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*h - 98*h + 47*h - 9 - 2*h**2 to s + f*h**2 + k*h and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172 + 0*j**2 + 3*j + j**2 + 10*j**2 - 3*j**2.\nAnswer: 8*j**2 + 3*j + 1172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-2361)\/1179 - -2). Let y = l + 853. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16614, -32739, -48864, -64989?\n\"Answer: -16125*p - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/5 - 1098*g**2 + 10971*g\/5 - 5484\/5.\nAnswer: 3*(g - 1828)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j + 25100 = 46*j. What is the remainder when j is divided by 418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 + -333011530?\nAnswer: -333011442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22373\/180 + 1099\/9. What is the common denominator of r and -99\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236859 is divided by 236840.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 785299.7 days in hours?\nAnswer: 18847192.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**5\/15 - l**3\/3 + l**2\/3 - 13. Factor i(y).\nAnswer: y*(y - 1)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*f + 5*f**2 + 8*f + 14*f + (-f + 4 - 4)*(5*f - 2*f - f).\nAnswer: 3*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (70 - -5 - -4). Let g(m) = m**2 - 5*m + 6. What is the remainder when (-96)\/d*(-550)\/(-4) is divided by g(9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.97 - -9.5. Let i = 3.17 + a. Let u = -2.9 + i. What is the closest to -2 in u, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9*y. Let r(d) = -40 - 240*d**2 - 129 - 35 + 204. Determine p(r(m)).\nAnswer: 2160*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/(p\/(p*p**(-7))))**24 assuming p is positive.\nAnswer: p**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8481 = -12*z - 741. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -765.4064272 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004598569 to five decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 2*n**3 - 4*n**3 + 8*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -43*r**2 - 119*r - 2. Let x(l) = -65*l. What is f(x(y))?\nAnswer: -181675*y**2 + 7735*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5 + 25 = u, -5*u + 70 = 5*j. Suppose u = -7*c + 5*c. Put c, -3, -4, 3 in increasing order.\nAnswer: c, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0*j**2 + j + 0*j**6 + 5\/168*j**7 + 0*j**3 - 5\/24*j**4 - 3\/16*j**5 + 22. Factor o(z).\nAnswer: 5*z**2*(z - 2)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*f + 1349 + 1192 = 356*f + 497 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/934 smaller than -3\/1429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*p**3 + 1059*p**2 - 62*p + 6226768.\nAnswer: -24*p**2 + 2118*p - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**4 + 8*a**2*m - 74*m wrt a?\nAnswer: 12*a**3 + 16*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. Suppose -b - 23 = -f*h, h + 0*b - b - 12 = 0. Calculate the smallest common multiple of -8 + (-2 - ((-12)\/27 - 3515\/333)) and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*a = 8 - 0, 4*c - 5*a - 13 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9*i + 8 = 0. Let f be -10*i\/(-4) - -2 - -39. Solve -3*t - f = 4*k - 7*t, -k = -2*t + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(51)\/sqrt(3) + -2)**2 - ((sqrt(2448) - (sqrt(2448) + -4))**2 - sqrt(2448) - sqrt(17))).\nAnswer: 3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 20, -17, -3, 67.\nAnswer: -17, -3, 1, 3, 20, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r. Let i(v) be the third derivative of 26*v**5\/15 + v**2 + 22*v. Give n(i(z)).\nAnswer: 624*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 149379653944055.\nAnswer: -149379653944054.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26198061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p + 1. Suppose -5*d + 4*w = -79, -d - 2*w + 65 = 2*d. Calculate the remainder when z(-6) is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 569?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0*r**3 + 2\/25*r**5 - 1\/15*r**4 - 6*r + 0*r**2 - 3\/70*r**7 + 1\/50*r**6 + 0. Factor z(l).\nAnswer: -l**2*(l + 1)*(3*l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028121 rounded to 4 decimal places?\nAnswer: -0.0281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 0 + 1)*1)**2.\nAnswer: 24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5 + 75*a**4 - 102*a**3 - 2148*a**2 + 456*a + 7392 = 0. What is a?\nAnswer: -4, -2, 2, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, 99, 216, 317, 366, 327, 164?\n\"Answer: -6*u**3 + 46*u**2 + u - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/9 and 68\/81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 12) to base 11.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -69, -273, -613, -1089, -1701, -2449, -3333?\n\"Answer: -68*l**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3269*x**4 - 3094*x?\nAnswer: 39228*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**7\/84 - w**6\/12 + w**5\/5 - w**4\/6 - w. Let t(c) = 0. What is c?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-7))\/((-2)\/(6\/1))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1128178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 6*v + 11. What is p(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011410382 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 3*v - 2. Let w = 17 + -12. Suppose -w*j + 6 + 9 = 0. Suppose -3*z + 4*y = -0*z + 28, 4*z = -j*y - 4. Give p(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4915139.\nAnswer: 4915139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - w**2 - w + 23. Determine a(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 8*w**2 - 9*w + 15. Let y be g(7). Suppose -3*u - 15 = 0, -o - 3*u + y = -0*o. Suppose -21 = 19*p - o*p. Are -13\/2 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586931400?\nAnswer: 2, 3, 5, 11, 41, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 7*k - 10. Let q be h(7). Let x be -1 + (-1)\/(-1)*4. Let l be ((-48)\/40)\/(x\/q). What is the greatest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2351*b**4 - 88?\nAnswer: -9404*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 78 - 66. Solve -7*n + x*n = -10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*o = 75, 4*o + 48 = -p + 5*p. Let m = 11 - p. Let x = 6 + m. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011454 rounded to 6 dps?\nAnswer: -0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -158\/5 >= -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4\/7, 1\/6 in descending order.\nAnswer: 4\/7, 0.4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 + 2*n**4 + 0*n**4 + (0*n**3 + 2*n**3 + n**3)*(-2*n + 3 - 3).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984.6746ug to kilograms.\nAnswer: 0.0000009846746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (86\/129)\/((-1)\/((-6)\/(-22)))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -57 + -2692?\nAnswer: -26e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**2 + 2*i + 1. Let o(w) = w**2 - 4*w - 46. Let f be o(-5). Calculate s(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 381.839 - 382. Let h = -1470.009 + 1471. Let x = d + h. What is x rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(-7) + (-2)\/(-7). Let o = 0 + -1. Let t be (-18)\/(-4) + o\/(-2). Solve 0 = u*h - t*c - 3 + 1, 0 = 3*h - 4*c - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from fofykxxoxxfyfb?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -89, -134?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 = 9*z. Let n be (-1)\/(-4) - (-13)\/(-4). Sort 4, z, n in increasing order.\nAnswer: z, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieedeuueeiueuedeeeid. What is prob of sequence id?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:34 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00716609 - 5563179?\nAnswer: -5563178.99283391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/37496 and 1\/23048.\nAnswer: 2512232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -831.7 - -831.7. Which is the fourth biggest value? (a) x (b) 2 (c) 4 (d) -2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11186, 10886, 10396, 9722, 8870, 7846?\nAnswer: 6656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaj when three letters picked without replacement from tjtaatjjatjtatatt?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -1, 1, -7978?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -o + 6, 0 = -2*q + q + 1. Is (-29133)\/(-39) - (1 - -1 - o) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2280.489 from 0.\nAnswer: -2280.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 29 = -s, -17*x + 19*x - 14 = -s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 28*v - v**2 - 59*v + 30*v. Let d(g) = -7*g**2 - 5*g. Determine -d(j) + 5*h(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {o: 1, h: 2, t: 1, p: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4, -18*q - 83900 = -23*q + 5*n. What are the prime factors of q?\nAnswer: 3, 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -212.25 - -213.25. Which is the second smallest value? (a) 0.2 (b) 0.422 (c) u (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031993827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2 + 10. Suppose -5*h - 2*v + 28 = -4*v, -3*h + 5*v = -13. Let i = h + q. Solve 2*a + 3*c - 8 = 0, i*a = -c - c + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 12) in base 10?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14192 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10365 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -198.6 - -216. What is p rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - -39. Let o = -29 + m. What is the remainder when o is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5ab5 - 4071?\nAnswer: 1a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 11 = -4*i, 3*d + 0 = 4*i - 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.5? (a) 1\/2 (b) -1 (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.429487 seconds in microseconds?\nAnswer: 4429487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1967479.5 nanoseconds to minutes.\nAnswer: 0.000032791325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b, 0*i + 4*b + 2 = i. Suppose -5*q + 20 = -i*z, -q = -0*z + z - 11. Let p be 56\/q + 6\/(-18). Solve 7 = -4*c - p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:26 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -43. Let t be (-8)\/(-32) - d\/4. Solve -i + 2*i + t = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141*h**2*m**3 + 2*h**2*m*o**3 + 27*h**2*m*o - h**2*o**2 - 4*m**2*o**3 - 2*o**3 wrt m.\nAnswer: 846*h**2*m - 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*p. Suppose 3*k + 18 - 117 = p. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/(-64)*(-4)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1386, 2768, 4148, 5526, 6902?\n\"Answer: -y**2 + 1385*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 5*m - 17, -2*i + 2*m - 12 + 18 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4558 - -0.2558. Is f at least as big as -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydnu when four letters picked without replacement from {y: 1, d: 1, x: 1, b: 2, u: 2, n: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.791117 rounded to one dp?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 0*g**2 + 0*g**3 + 1\/10*g**5 + 2*g + 0 + 1\/4*g**4. What is the third derivative of d(c) wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -12. Which is the third smallest value? (a) t (b) 4 (c) 3 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w - 2*v - 150, 5*v - 32 = -w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:04 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g + 8. Let c = -31 + 43. Calculate the smallest common multiple of c and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -5. Let m(h) = h + 12. Let l be m(-8). Suppose -w + l = -3*u. Is u != 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 + 6*f**3 - 8*f**2 - 24*f.\nAnswer: 2*f*(f - 2)*(f + 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31701920 and 15615.\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*w = 8*t + 16, 12 = -3*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-20328)\/888 + ((-1846)\/(-78) - (-6)\/(-9))\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 32 - 19 - n to the form w + f*n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000065628 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3355 and 1708.\nAnswer: 93940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d. Let r(t) = -2. Let k(w) = -w + 11. Let b(l) = -2*k(l) - 11*r(l). Determine i(b(o)).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 + 2*i**2 - i**2)*(4 - 4 + 2) + 21*i + i**2 - i + 2*i to the form q + r*i**2 + k*i and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let v(x) = -x**2 - 7*x - 5. Let o be v(-5). Calculate s(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109098 and 56547216.\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158896 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 100, 5, 1182 in ascending order.\nAnswer: 0, 5, 100, 1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7 - 12 = -4*d, 2*d - 3 = 5*g. Suppose -6 + 0 = 3*f, d*f = -2*i + 2. Let t = i - -6. Calculate the remainder when 64 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u - 488 = 492 - 520 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 6:14 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*d, -h + 2*h - d = 55. Calculate the highest common factor of 1300 and h.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -80*t. Let d be y(-1). Suppose -68 + 11 = -3*g + 3*q, 5*g - 3*q - 97 = 0. Calculate the greatest common divisor of g and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -14 - 11 - 21*r + 10*r + 14*r. Let p be k(11). Suppose 0 = -p*g + 11*g - 240. What is the lowest common multiple of g and 11?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1299 + -86. What are the prime factors of p?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37571228 to the nearest integer?\nAnswer: 6130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*14\/(83328\/96)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 2e?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -301 - -365. What is the greatest common divisor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1278 and 155\/8022.\nAnswer: 1708686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*o - 148 - 156 + 110 + 194.\nAnswer: -216*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -27 (c) -162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 130*v**2 - 2810*v - 3010. Let w(j) = 11*j**2 - 234*j - 251. Let m(d) = 3*q(d) - 35*w(d). Factor m(s).\nAnswer: 5*(s - 49)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h + 2. Suppose -4*c - 69 = 3*j - 4*j, -4*c - 78 = h*j. Does 1 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3891306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1424 or 1420?\nAnswer: 1424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((0 - -13) + -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12121, -12122, -12117, -12106, -12089?\nAnswer: -12066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107125?\nAnswer: 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-8)*f**(1\/8))\/((f*f**3)\/(f*f\/f**(-8))))\/((f*f\/((f\/(f**(1\/3)*f*f))\/f)*f**(-9)\/f)\/(f**(-2\/7)*f*((f**3\/f)\/f*f)\/f)) assuming f is positive.\nAnswer: f**(3781\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15032?\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.95? (a) 1422 (b) -1 (c) -0.5 (d) 1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.38 + -0.38. Which is the nearest to 1? (a) 3 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 31 = -5*l, -4*l - 3*o - 6 = -7*l. Suppose 108 + 27 = l*y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*10\/(-24)*2\/(-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**2 - 1. Let t(f) be the first derivative of -6*f**2 - 1691. What is y(t(k))?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1265015 is divided by 421663?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 314928110 divided by 1?\nAnswer: 314928110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nddlddpltildldnlntt. What is prob of sequence lpdl?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*z + 4*z - 3416 = 0, -3*h + 2549 = -4*z. What are the prime factors of h?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -1. What is the nearest to 1\/4 in r, 0.02, -0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8 = 20. Sort 4, -1, z, 2.\nAnswer: -1, 2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18648 divided by 5\nAnswer: 18648\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 202 = 5*r + 245, -4*r - 44 = -2*c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46402 - 46406. What is the third biggest value in 0, 0.2, 148, o, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 14. Sort 1, -4, a in ascending order.\nAnswer: a, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -276 + 824\/3. What is the nearest to 0.2 in -1\/5, s, -45?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*v - 7. Suppose -5*w + 9 = -m - 0, 0 = -m - 5*w + 21. Solve -5*r - 4 = -4*f, v*r - 2*f = -m*f - 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 30 = 5*d, -37 = -2*h - 2*d - 5. Suppose -11 = -5*t - a, -9 = 5*a + h. Suppose -2*i - 11 = -1. Put t, i, 4 in ascending order.\nAnswer: i, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145845376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 417408785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12936*a**2 - 4*a - 4123410 wrt a.\nAnswer: 25872*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.56938 millilitres to litres.\nAnswer: 0.00856938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + -2.12. Which is the closest to -2\/7? (a) -0.3 (b) -2\/19 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 8. Let v be p(6). Let a = v + -2. Suppose a = 3*o + o - 16. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i**2 + 1. Let t(s) = -2*s - 5. Let x be t(-3). What is b(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, e: 2, h: 1, a: 1, j: 9}. What is prob of sequence qaj?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 2*r - 44410*r**2 - 4 + 49268*r**2.\nAnswer: 4858*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(9) + (sqrt(9) - (sqrt(9) - sqrt(900)*-3))))\/((sqrt(160) - sqrt(160)*4*-5 - sqrt(160)) + sqrt(160)).\nAnswer: -sqrt(2)\/2436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + 25*j - 3. Calculate f(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -2.44.\nAnswer: 0.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22946 and 16?\nAnswer: 183568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4 - 3*c**2 - 1 - 5*c - 5 + 5*c**2. Suppose -3*g - 3*s = g - 13, 15 = 3*g - 3*s. What is the remainder when b(g) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -7. Let k(s) = -3*s**q - 3*s + 3*s**3 - 2 - s**3. Let x be k(-2). Solve 0*o = -3*p + o - x, -o - 3 = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 527*b = 533*b - 1926. What is the remainder when b is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -25. Suppose -4*m + 6*m - n = 0, 5*h = -2*m + 22. Let a(k) = -5*k + 3*k - h*k + 4*k. Let u(f) = -7*f. Determine u(a(x)).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 475 + -790. Let s = n - -314.9999468. Round s to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 + -121122?\nAnswer: -112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3772, 15204, 34258, 60934, 95232, 137152?\nAnswer: 186694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381036?\nAnswer: 2, 3, 113, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Suppose 0 = -2*q - n + 20. Let j be ((-42)\/(-8) - 3)\/((-3)\/(-120)). What is the greatest common factor of q and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 equal to 167\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2. Suppose 5*u - 10*u = -25. Suppose -3*k - 12 = -2*y + y, 5*k = u*y - 40. Let d(f) = 0*f + f - y*f + f. What is z(d(h))?\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 1 + 2)*(-87*g**2 - 9*g**2 + 1027*g**2).\nAnswer: 11172*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 960.24 + -931. What is v rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 9*v. Let p(j) be the first derivative of -j**3\/3 + 6*j**2 - 1963. Calculate w(p(f)).\nAnswer: -9*f**2 + 108*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2407\/83)\/145*(-12)\/(-15)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -9. Let y(f) be the third derivative of f**4\/12 + f**3\/3 - 5*f**2. Determine y(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 147\/12 + 12\/16. Suppose -w + 2*o - 1 = 0, 3*w - 2*o + 10 = -l. Let u be 8\/16 + w\/14. Which is the smallest value? (a) -1 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0511 - -0.05. What is d rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116744364 is divided by 1487?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmanmmxnegme. Give prob of picking 1 n, 1 e, 1 a, and 1 g.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-31)*z*z*z\/(z\/(z*z\/(z\/((z\/(z**(8\/7)*z))\/z))*z*z))*z*z*z*z*((z**(-2\/3)\/z)\/z)\/z*z*z*(z*z*z*z**(-1\/40)*z)\/z assuming z is positive.\nAnswer: z**(-19181\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4844 = 5*n, -4*n - 5985 + 2099 = 2*x. Round n to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**3 + 703 - 17*m**2 - 703 - 18*m**2 in the form t*m + k*m**3 + b + y*m**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -940268, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7588 - 5*g**2 + g - 7590 + 15181 to j + p*g**2 + s*g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in centimeters?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 7 = -2*t - 18*h, 1 = 5*t + 2*h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-1*4 + -1 + sqrt(2816) + sqrt(44))**2.\nAnswer: -20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58278400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1 - 3\/2. What is the fourth smallest value in 0.9, m, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 times 4?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1838 or 790?\nAnswer: 1838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 13 = -3. Which is the second smallest value? (a) -0.2 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 27. Let k(n) = 3*n**3 + n - 1. Determine k(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, j: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(675) + sqrt(675) + sqrt(432)*6)\/(6*4*sqrt(225)*2) + 4.\nAnswer: 19*sqrt(3)\/240 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-40)*(-15)\/12. Let s = p + 7\/48. Suppose -7*t + 6*t - 6 = -2*h, -3*t - 2*h = 10. Which is the biggest value? (a) -1\/9 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -99 - 72. Let i = t - 37. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m**4 - 5*m**2 - 4*m**3 + 2*m**2 - 12*m**5 - 2*m**3 = 0. What is m?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*a - 8. Let y be (2 - (-168)\/(-14)) + 13. Sort -1, y, a in descending order.\nAnswer: y, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 179\/165 - 16\/33. Which is the nearest to 0.2? (a) 4\/7 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92 and -447.\nAnswer: 41124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 16. Let x be i(11). Suppose 0 = 2*q + 3*u + 5, 5*u - 3*u + x = 0. Let h = -7 + 10. Solve -q*b = h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k - 8*k - 2780 + 19294 = 0. What is the remainder when k is divided by 344?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1818945 divided by 40421?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 2*r + 141*r - 9 + 111*r in the form p*r + j and give p.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -216 + 203 + (-40)\/(-75)*(-456)\/(-16). Factor -6\/5 + 12\/5*w**2 + w**3 - f*w.\nAnswer: (w - 1)*(w + 3)*(5*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 + 115*j**2 - 13225*j + 1520875\/3.\nAnswer: -(j - 115)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -18, -13\/5, 0.2.\nAnswer: -18, -13\/5, 0.2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 + 77 = 166*a - 351. Factor 3\/2*t**3 - 3\/2*t - a*t**2 + 3.\nAnswer: 3*(t - 2)*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -1 - 11) + (-6 - -8) + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -321103321320 (base 4) in base 10?\nAnswer: -15023736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/10 - 6\/5. What is the nearest to j in 4, 11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/((-56)\/(-651)))\/(-3). Solve 6*j - c + 7 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 28*s**2 - 29*s + 81. Does 3 divide n(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5 (b) 1\/11 (c) 0.2 (d) 111\/5 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383193?\nAnswer: 3, 42577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7458 (base 13) to base 3\nAnswer: -211010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + -5 + sqrt(57)\/sqrt(3)*2.\nAnswer: -5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 + 107. What is the greatest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68.7 - -69. What is the second smallest value in -13, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.2 - 3.2. Let k = -29.94 + q. Put k, 0.2, -4 in increasing order.\nAnswer: -4, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34, 111, 248, 451, 726, 1079?\n\"Answer: z**3 + 24*z**2 - 2*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-16\/3)\/((d*d*d*d*d*d**(-12))\/d) assuming d is positive.\nAnswer: d**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 2)*(-564*o + 3662*o + 10547*o) as b*o + l and give b.\nAnswer: 40935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 59*r**2\/2 - 7*r + 4. Is p(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2988351000 to the nearest 1000000.\nAnswer: -2988000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0667 - -5248.\nAnswer: 5248.0667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*x**4 - x + 3*x - 78*x**4 + 4*x**5 + (2*x - 2*x + x**2)*(4*x**3 - x**3 - 2*x**3) + 3*x**5 - 2*x**5 + x**5 + (-2*x + x - 3*x)*(5*x + 3*x**4 - 5*x).\nAnswer: -5*x**5 + 3*x**4 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -148193, -148194, -148195?\n\"Answer: -y - 148192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 9. Let u = 13 - w. Factor k**2 + 0*k + u*k - 6*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, r: 5}. Give prob of sequence rr.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -59\/1132 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1655398 litres?\nAnswer: 165.5398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6054 = 6*u - 5130. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69*g + 207 - 49*g - 207 - 31*g**3)*(g + 2 - 2)*(-27 + 2 + 7) to the form u*g + x*g**2 + c*g**4 + s + m*g**3 and give c.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -19*v. Let s(d) = d. Let h(m) = f(m) + 6*s(m). Let k(y) = -3*y**2. Give k(h(w)).\nAnswer: -507*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 3*o - 4*o + (3*o - 2*o - 3*o)*(0 - 3 + 1) - 5*o + 0*o + 3*o + (0 - 1 + 2)*(0*o - 4*o + 2*o).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27.1915 - -27.2544985. Let j = 125 + -125.063. Let p = j + n. Round p to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201100 - 10221?\nAnswer: 2120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {y: 2, f: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 + 2*z**2 - 7*z**2 + z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10020012 (base 3) to base 8.\nAnswer: -4462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12814770 and 3750.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*f + 5*f - 3*q, -q + 12 = -3*f. Let y = 0.027 - 0.227. What is the fourth smallest value in -1\/3, y, 2\/11, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/9)\/(((1122\/340)\/11)\/(81\/15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 12:20 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-28) - 268\/(-14). Suppose 0 = -4*h + 9 + v. What is the remainder when 19 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 955, 1552, 2139, 2710, 3259, 3780?\nAnswer: 4267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56 + 0.14.\nAnswer: -55.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 720698371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/84*(-4)\/10. Let 0 - j*f**3 + 0*f + 0*f**2 = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + s + 2 = 0, 4*s + 21 = 3*z - 1. Solve 2*v + 23 = -2*v - 3*m, -12 = z*v + 2*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = 76*n - 47*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56634.25 centimeters to kilometers.\nAnswer: 0.5663425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 32*g + 8. Let b be i(1). Let s be 2*(6\/(-4) - -3). List the prime factors of (-378)\/(-105)*b\/s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*h + 2*h = 19, -13 = -5*y - h. Solve o - 10 + 4 = y*a, 2*a + 21 = -5*o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-25) + 31464\/450. Suppose -192 = 22*h - w*h. Solve -26 + 10 = -h*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157290169 divided by 23\nAnswer: 6838703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*u**2 - 18*u**2 - 24*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 2*s = 5*b - 210, -13*b = 2*s + 562. Which is smaller: b or -668\/15?\nAnswer: -668\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olooooolooooo. Give prob of picking 2 l and 1 o.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39\/20 - -119\/60. Sort 0.4, -0.4, -5, h in ascending order.\nAnswer: -5, -0.4, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 887.1394 decades?\nAnswer: 8.871394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46.807 - 46.8070040606. What is p rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -0.64 (b) -4\/7 (c) -1\/3 (d) 1128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 92878 - 92622 = -46*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21464983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000030967 to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 247918877*y**2 - 183298988.\nAnswer: 495837754*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwgi when four letters picked without replacement from iggegxegggggxwgning.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6303326 (base 7) in base 3?\nAnswer: 1102111002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4408683, 8817372, 13226061, 17634750?\nAnswer: 22043439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -950*p + 3853. Calculate the remainder when 162 is divided by b(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 25, -4, 1, -3.\nAnswer: -4, -3, -2, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.95 + -6. Let r = -0.05 - h. Let k = 0.057 + r. What is k rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/51)\/(6875\/12375) - (-1620)\/34.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -775 divided by -34.\nAnswer: 775\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 2*z**2 - 67. Let m(b) = -6*b + 7. Let r(s) = s - 1. Let t(j) = 3*m(j) + 21*r(j). Calculate t(l(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4 - 5659*k**3 - 1114176*k**2 - 53922816*k = 0. Calculate k.\nAnswer: -96, 0, 5851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2893 (b) 0.5 (c) -40\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuukauuuukuaukuuu. What is prob of picking 1 k and 1 u?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, x: 1, d: 3, v: 1, f: 2, h: 4}. What is prob of sequence jvjj?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 358113 and 1.3?\nAnswer: 465546.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000096692823 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 14 - 270*g - 24 + 2*g**3.\nAnswer: 2*g**3 - 270*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113506186.\nAnswer: 2, 181, 313553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(3000) - sqrt(3000)*3 - sqrt(3000))*-2 - sqrt(3000)) + sqrt(3000)))\/(((-1*sqrt(120))\/sqrt(6))\/(sqrt(128)*1)).\nAnswer: 960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 - 20.99. Let y = -26 - t. What is the closest to -1 in 4, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/60 + 3*u**4\/8 + 14*u**2. Let w be r(9). Solve w = 3*s - 12 - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16781838091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 + 3 = 0. Suppose -2 = y*i - 0, -4*z + 2*i + 30 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73\/474 - -1\/79. Put 3\/4, x, -4 in decreasing order.\nAnswer: 3\/4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -861500*s**4 - 22*s**3 + 112*s**2 - 109*s - 34.\nAnswer: -20676000*s - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*a + 22451 - 624, a + 2*d = -7283. Let w = a - -58141\/8. What is the common denominator of w and 1\/4 + 247\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-282)\/(-26) - 4\/(-26). Calculate the greatest common divisor of 121 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*z = 14, 5*f + 46 - 212 = -z. Suppose -15*k + 40*k - 250 = 0. Calculate the remainder when f is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -153.81 and -37?\nAnswer: 5690.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -561 - -8a?\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 1035, 3491, 8253, 16083?\nAnswer: 27743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 2. Let u(g) = 3*g + 4. Let a(o) = 9*b(o) - 4*u(o). Let s(p) = p - 1. Let j(c) = 2*a(c) + 4*s(c). Let n(l) = -2*l. Give n(j(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - y + 1. Let d be b(-1). Suppose 0 = -3*p - d - 2. Is p less than or equal to 3\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t - 28. Let l be i(-6). Suppose 22 = 4*y - 3*m, 10*y - 3*m = l*y + 14. Solve 5*a - 12 = -2*s + 6*s, y*a = s + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 + 32 = -9*j. Factor -3*r**2 + 2*r**2 - 3*r**2 - 2 + j - 4*r.\nAnswer: -4*(r - 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-120) + -3 + ((-565)\/(-110) - 4)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*h = 18, 0*l - 4*h = -l - 6. Let k = -16 - l. Is 4 a factor of (-85)\/k - (-2)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24008, 24026, 24064, 24128, 24224, 24358, 24536?\nAnswer: 24764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 412*b - 410.\nAnswer: -2*(b - 205)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Suppose 0 = f*q + 4. Let h = 1\/1549 - -2999\/153351. Which is smaller: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -416.778.\nAnswer: -41.6778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 3*a**2 - a + 2. Let v(c) = 2*c**2 - 18*c - 66. Let j be v(-4). Suppose j = 4*t + 46. Give o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 385965, 1543917, 3473847, 6175755, 9649641, 13895505?\n\"Answer: 385989*j**2 - 15*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4561*d**6*g - 5739*d**4*g**2 - 5*d**2*g**2 - 1247*d**2 + 5*d*g**2 - 2*d + 6*g**2 - 2*g wrt d.\nAnswer: 547320*d**3*g - 137736*d*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*n - 3*k + 4, 4*n + 6 = 2*k. Let x be 3 + -2 + n\/(-1). Let r be 1 - 2 - (-6 - -1). Solve -x*j - r = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 908517 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4558 (base 9) in base 13?\nAnswer: 16c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let g(f) = -2181*f**2 - f. What is c(g(s))?\nAnswer: -4362*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43156998 and 3.\nAnswer: -129470994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y**3 + 2*y**2 + 89*y + 87. Give m(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137757837 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**3\/6 - 2*u - 18. Let g(r) be the first derivative of -2 - 1\/2*r**2 + 0*r. What is c(g(z))?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 11:03 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/1)\/(5 + (-16)\/4). Suppose -5 = -4*o - o. List the prime factors of (u + o - -2)*24 + -2.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1042186017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/53 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0487 - 6.3187. Let l = 351.27 + n. Let i = 344.999831 - l. What is i rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333, -257, -135, 57, 343, 747, 1293, 2005?\nAnswer: 2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/539?\nAnswer: 3\/539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**5\/15 - 4*l**4\/9 + 10*l**3\/9 - 4*l**2\/3 - 20*l. Factor b(z).\nAnswer: 4*(z - 2)*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-3)*(-132)\/(-110). Let o(a) = a**3 - a + 1. Let b(g) = 15*g**3 - 5*g + 4. Let m(q) = t*o(q) + b(q). Find the second derivative of m(w) wrt w.\nAnswer: 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 65 = -2*n + 62, 5*v - 4*n - 27 = 0. Solve -27 = 4*r - v*s, -11 = -4*r + r - 4*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**2*i**2*j + c**2*i*j + 6771*c**2*j + 6*c**2 + c*j - 150711*i**2*j - i*j wrt i.\nAnswer: -6*c**2*j - 301422*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 783 and 10867953?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -29*f**2 + 4716*f + 1723. Give s(163).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13664647.1 from -184885.\nAnswer: -13849532.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2791540 is divided by 3588.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2819 - 2824. Let f = 1 + -2. What is the closest to 0 in a, -3\/4, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 + -9.4698\nAnswer: -8.7698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l - 1 = 0. Suppose 0*f - 24 = -8*f. Is f at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330 - 22488108*t + t**2 + 22488108*t.\nAnswer: t**2 - 330","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -13, -8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/880 and 87\/1804?\nAnswer: 36080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596169?\nAnswer: 3, 7, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjn when three letters picked without replacement from {j: 6, y: 3, a: 5, n: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/19 (b) -59 (c) -3 (d) -6 (e) -172\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4533274, 33, -2 in ascending order.\nAnswer: -4533274, -2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -2.8.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51, 124, 169, 126, -65, -464, -1131?\n\"Answer: -10*w**3 + 46*w**2 + 5*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 10 + q**2 + 4 wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 85*j - 418. Let m(b) = -141*b**2. What is k(m(q))?\nAnswer: -11985*q**2 - 418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -12*p**5 - 7*p**4 + 7*p**3 - 3*p. Let u(q) = 6*q**5 + 4*q**4 - 4*q**3 + q. Let c(l) = 4*j(l) + 7*u(l). What is the second derivative of c(z) wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27508380 and 1078760?\nAnswer: 55016760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2568 or -4.3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2. Let a(t) be the second derivative of t**4\/6 + 18*t. Calculate a(z(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 16578.\nAnswer: 33156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*c + 15 = 0, 0 = -310*a + 313*a - 50*c - 247 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y**4 - 10*y**3 - 89*y**2 + 6*y - 6. Let p(i) = -i**4 - 2*i**2 - i + 1. Let n(q) = 6*p(q) + x(q). Find the third derivative of n(l) wrt l.\nAnswer: 96*l - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*b + 41*b + 1666 = 0 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -49, -379, -1285, -3061, -6001?\n\"Answer: -49*c**3 + 6*c**2 - 5*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4740921 years in months?\nAnswer: 5.6891052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2937*u**4 - 4 + 493*u**2 - 541081859*u**3 + 541081859*u**3 wrt u.\nAnswer: 70488*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19594951 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 6:49 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -18 in decreasing order.\nAnswer: 1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 426 + -422. Let h = -20 + 62\/3. Let m = -2.6 - -3. Which is the closest to 1? (a) x (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1274302 divided by 14318.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720408427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2826 is divided by 235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.60934713 and 27205.\nAnswer: 27203.39065287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 425.72 and -3.\nAnswer: -1277.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1744331 to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05634711 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2807471.\nAnswer: 97, 103, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*s - 25, 5*s - 13 = -4*c + 12. Solve 2*a + 8 + 0 = c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 35.6195nm?\nAnswer: 0.0356195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 1.5484.\nAnswer: 1.5484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1595, -6463, -14577, -25937, -40543, -58395?\nAnswer: -79493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2. Let t(o) be the first derivative of -37*o**2\/2 - 7. Give t(q(f)).\nAnswer: 74*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 0.2. Let t = -7.55941 - -2.55941. Let z(w) = w**2 - 4*w + 1. Let d be z(4). What is the nearest to -0.1 in t, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {s: 2, n: 2, g: 3, v: 3, a: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10)**(-14)\/((y\/(y\/(y*(y*y*(y*y**(-1))\/y)\/y))*y)\/(y*y\/(y\/y**(-29)))) assuming y is positive.\nAnswer: y**(-170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -54*o**3 - 593*o**2 - 1448*o - 16061. Determine z(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuucvuvcuuvaaucwv. What is prob of picking 1 a and 2 w?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) + 7\/6. What is the closest to t in -4\/3, -4, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 5*q**4\/8 - q**3\/6 + 6*q**2 - 7. Calculate z(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18966 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -401 - -589. Let c(h) = -2*h - 5. Let n be c(-4). Suppose -n*d + 46 + g = 0. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 8:07 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a decade in months?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 496 and (3680\/(-69))\/(6\/(-9))?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + -55?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7176 - -157909\/22. What is the common denominator of -87\/26 and c?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - d**2 + 3*d. Let z be c(-4). Let y be 6*(-4)\/(-12) + -1. What is the first derivative of -10*r**4 + y - z*r**3 + 36*r**3 wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1642.0769 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 9*v - 20. Suppose 1137*o - 1142*o = 0. Suppose -v*b - 4*u - 24 = 0, 3*b - 5*u + u - 17 = o. Sort -5, 3\/4, b.\nAnswer: -5, b, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0326 + -0.0674. Let l = -8 + 7.8. What is the nearest to l in k, 3, -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-12)*n)*n**(11\/5))\/(n\/(n\/(n\/(n*n\/(n*n*n*n**14)))*n)*n**(-2)) assuming n is positive.\nAnswer: n**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -52. Sort -2, -3, w, -4 in increasing order.\nAnswer: -4, -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5333 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69803 and 192908.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4\/v*v*v*v)\/(v\/v**(-3\/4)))**(2\/155) assuming v is positive.\nAnswer: v**(17\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Suppose -165 = -n*a - 21. Suppose 2*j + 4 = -0*v + 3*v, j = -v + 8. Calculate the highest common factor of a and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 3*y**2 - 4*y - 4. Let a be u(-3). Suppose -4*b = 2*s - 222, -4*s - 271 = -a*b + 3*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*y - 18, -4*y = 3*h + h - 24. Let o(r) = -y*r + 1 + r**2 + 5*r + 0*r**2. What is o(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 133 = -10*f, 3*f - 5*k + 58 = 14 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*t = i + 7, 5 = -t. Suppose -i*y = -10 + 1. Let m be (-9 + -3)\/((-6)\/y). Solve 0 = u - m*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028112698 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24883552 to the power of 1\/2, to the nearest integer?\nAnswer: 4988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.2 - 3. Let w = 7.036 - -0.064. Let h = w + -7. Sort h, -5, o in increasing order.\nAnswer: -5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1114191?\nAnswer: 3, 13, 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -839 + 842. Let i(h) be the third derivative of 0*h - 14*h**2 + 0*h**a - 1\/4*h**5 + 13\/24*h**4 + 0. Find the second derivative of i(s) wrt s.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**5 + b**5 - 5*b**5 + 12*b**5 + 27 - 27 + (86*b**5 - 4508 + 4508)*(4 - 2 + 0).\nAnswer: 185*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1173, 157 in decreasing order.\nAnswer: 157, -4, -1173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 66, 290, 674, 1230, 1970, 2906?\n\"Answer: 2*y**3 + 68*y**2 + 6*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28578376 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8690327 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5403*q - 226910. Determine p(42).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210032 a multiple of 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091119103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23568 is divided by 7854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 410203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 6*f + 0*f**2 - 310*f**3 + 556*f**3 + 4*f + 586*f**3.\nAnswer: 832*f**3 - 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*d + 459*d + 591*d - 280807 = -234943 for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25081*-9\nAnswer: 225729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**11\/a))\/(a**(-3)\/a*a*a))**2*(a*a**0*a)**(-2)*((a*a**1)\/a)**(-31) assuming a is positive.\nAnswer: a**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/10*(-8)\/1. Suppose 3*o = 4*a - 0*o - 1191, -4*a + 1196 = -k*o. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 + 137 + (-2 - 23).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 6)\/2 + -4. Is 4 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4350707124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-47920)\/12*132\/(-55) + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 2*s - 3. Let o(g) = -27*g + 3. Let c be o(-1). Suppose -4*b - c = -10*b. What is p(b)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 - 463*b - 145. Determine u(-154).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12595 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3295745 is divided by 49190?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135)\/(-75))\/((-2)\/5*1).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5429.28*2\nAnswer: -10858.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 841d - 32?\nAnswer: 83eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3515, -7029, -10541, -14051, -17559, -21065, -24569?\n\"Answer: k**2 - 3517*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 201 divided by -43741\nAnswer: -201\/43741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/6 + 29*j\/6 - 13 = 0. Calculate j.\nAnswer: 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77678076.\nAnswer: 2, 3, 7, 661, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 76521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 199*g**3 + g + 1. Let p be r(2). Suppose -5*o + p = -0*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -14\/13101089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202.87998 months to years.\nAnswer: 16.906665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301*g**5*s + 6*g**2*s**3 - 4*g*s + 16*s**3 wrt g?\nAnswer: -6020*g**3*s + 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15629 - -15626. What is the third biggest value in -2, k, 2, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**5 - 3*k**2 - 12*k**5 - 31*k**4 + 7*k**2 - 626*k**3 + 610*k**3 = 0.\nAnswer: -2, -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.4 (b) 1\/4 (c) 0.1 (d) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-8)*(9967 - (-104)\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -70. Suppose 4*l + 38 = 3*w + 8*l, -l = -5*w + 71. Let g = w + y. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -2. Let z = -8 + 7. Sort m, -4\/7, z in descending order.\nAnswer: m, -4\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 8. Let u = 4 + w. Let j(c) = -c**3 + 9*c**2 + 39*c - 13. Let y be j(12). Solve -5*d + n + y = 0, 2*n - 2 = u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -253380 to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -591, -680, -907, -1338, -2039, -3076, -4515, -6422?\nAnswer: -8863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 + -126. Suppose 3*a + 0 + r = 4*m, 5*m - 6 = 3*a. Solve o = -5, y - m*o + 5*o + 10 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12994364.5 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**7\/210 + d**5\/60 + 3*d**2\/2 - 1. Let b(i) be the second derivative of f(i). Find the third derivative of b(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*t + 3, -2*t - 4 = -4*g. Let m(y) = y**2 + 7*y + 5. Suppose 0 = -5*r - 11 - 24. Let h be m(r). Is h at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let s(i) be the first derivative of 0*i + 0*i**2 - 29 + 31\/3*i**3. Determine s(v(y)).\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 5217.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1551 and 147305661?\nAnswer: 1620362271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 71 + 14. Calculate the remainder when (-588 + 81)*22\/(-33) is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 7)*(0*t + 4*t - 2*t) - 558*t + 1313*t + 2990*t to the form v*t + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 - -229. What are the prime factors of l?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 69. Let d = 1 - -4. Let k = d - z. Which is the closest to k? (a) -2 (b) -1 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r - 34 + 18 + 84*r**2 + 11 + 119*r**2. Let o be u(-1). What is the highest common divisor of o and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - k + (2*k + 0 + 0)*(-1 + 6 - 3) - 4*k + 6*k + 0*k + (0 + 0 - k)*(6 + 0 - 5) - 2*k + 3*k + k - 2*k + 0 + 0)*(0 - 6 + 3).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046 a factor of 37466930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 103810777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/((1 - -3) + (-60)\/24). Let s be ((-4)\/(-6))\/((-6)\/(-45)). Suppose 3*i - 20 = s*b, r = i + 3*i - 5*b. Let h(u) = -u + 1. What is h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 - 9*n - 9. Let p be j(-5). Let o = p + 43. Let t(r) = 2*r - 1. Let d(l) = 3*l - 2. Let m(z) = 3*d(z) - 5*t(z). Calculate m(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*x**3 - 25*x**3 - 2*x**3 - 72*x**2 - 390*x**2 as l + h*x**3 + n*x + k*x**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.926 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.28 and -1.6?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1468, 2, 0.5, -3 in ascending order.\nAnswer: -3, 0.5, 2, 1468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -11, -2 in increasing order.\nAnswer: -11, -2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17341, 34681, 52027, 69379, 86737, 104101, 121471?\nAnswer: 138847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 3. Suppose 2 = 5*b - 13. Suppose 0 = -g + 5*d + 38, -2*d + d + 82 = b*g. Solve -g = 4*l - u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 9) in base 5?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Let o(z) = 5*z. Suppose -3 + 12 = -3*a, 3*y = -a + 15. Let s(j) = y*v(j) + o(j). Let u(q) be the second derivative of q**4\/6 - q. Give s(u(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35.39168971 and -0.04.\nAnswer: -35.43168971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 2\/29095 (c) -2\/57 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104109 to the power of 1\/2, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/6 - 40*t**3\/3 + 2*t + 1322. Factor a(g).\nAnswer: 2*g*(g - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 139708 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12402233 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:47 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -15 - (-25 + 17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -162 times -0.228\nAnswer: 36.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2006 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/(-6) - (-18)\/(-27). Suppose -40 = -5*s + c*d, -3*s + 3*d + 27 = -0*s. Solve -s*r - w = -4, -5*r - 2*w = -1 - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 742465*u**6 + 17*u**2 + 3366*u - 3.\nAnswer: 89095800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 463 + -477. Let p(z) = -z**3 - 14*z**2 - z + 1. Calculate p(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 + 14724*d - 558068 = 0. What is d?\nAnswer: 38, 14686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/72 + (-9)\/(243\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19874762, 19874751, 19874738, 19874723, 19874706, 19874687, 19874666?\nAnswer: 19874643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72185 divided by -69?\nAnswer: -72185\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*b - 7. Suppose -n - 42 = -7*n. Suppose 2*u + n = 11. Solve s - u = b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/18)\/(303\/(-5454))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 + 12*n**2 - 5*n**2.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r + 104. Calculate d(-23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, 54.4, 0.1.\nAnswer: 0.1, 54.4, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4100\/(-984)*(-378)\/(-60).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddaaaagaaddaaaaddadd. What is prob of sequence gaa?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 1\/5 (c) -2311 (d) -0.4 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2544.01 + 2544. What is the third smallest value in x, 4, -4, 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -11. Differentiate -1 + 3*a**2 + a**g + 7 with respect to a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 14. What is the remainder when 69 is divided by u(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 245*t**2 + t - 9. Is m(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 - 243*q**2 + 12*q**3 + 4*q**3 + 248*q**2 + 0*q**4 + 1 as i + j*q + x*q**4 + n*q**2 + w*q**3 and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**3 - 4*j**2 - 7. Let u = 7 - 1. Let y(t) = 6 + 1923*t**3 - 3829*t**3 + 3*t**2 + 1912*t**3. Let i(a) = u*y(a) + 5*h(a). What is i(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/4)\/(5*4\/16).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04325 from -480712630.\nAnswer: -480712629.95675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -466\/7. Put -2\/5, n, -1\/4, 1\/6 in descending order.\nAnswer: n, 1\/6, -1\/4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(3 - 6 + 2)*(-13 + 13 + 26*z).\nAnswer: -52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10163 + -10119. Calculate the greatest common divisor of b and 24508.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67 and 2.16.\nAnswer: -144.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100861 divided by 677.\nAnswer: -100861\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 30353169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4958*k - 100 = -4978*k. Solve 0 = -4*s - k*i + 5, -20*s + 22*s - 5 = -3*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 0) + 178\/(-8). Which is greater: l or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -1) + 1*-2. Let j be (-8)\/48 - q\/(-6). Solve j = 5*p - 4*l - 4, 0 = 4*l + l + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56774869 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 8:56 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.19 take away -2?\nAnswer: -17.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 82393 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -974, -956, -940, -926, -914, -904?\n\"Answer: -g**2 + 21*g - 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 12:55 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(44\/(-33))\/(4\/6). Solve -m*s = -8*s - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 0)\/1 - 21\/8. Which is the nearest to 2\/3? (a) 2 (b) u (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1433 + 1429. What is the nearest to 1\/3 in 0.1, -1\/20, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = w. What is the remainder when 13 - (3 - w)\/1 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -0.259, 61 in descending order.\nAnswer: 61, -0.259, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -6 - 441)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35349, 35340, 35331, 35322, 35313, 35304?\nAnswer: 35295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64675 - 35252. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-345 - -349) + -1 + -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-16)*(154\/55)\/7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 2, 0, 0, 2, 6, 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 85722 divided by -14287\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 2. Let x = -201 + 208. Suppose -6*i + w = -x*i - 1, i - 5*w - 29 = 0. Calculate b(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.70884 and -1244967.2.\nAnswer: -1244965.49116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -628, -1361, -2140, -2965, -3836, -4753, -5716?\n\"Answer: -23*c**2 - 664*c + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5 + (1 - 1 + 2)*(0 - 1 + 0) + 2 + 5 + 5)*(-46083*k**3 + k + 0*k + 46084*k**3 + 56*k**2).\nAnswer: 12*k**3 + 672*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947630256 a multiple of 3016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-24)*(-4)\/(8\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 52517375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 348, -3, 2, -4477, 4.\nAnswer: -4477, -3, 2, 3, 4, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3.98. Let r = s - 0.02. Let w(x) = -x**2 + 6*x - 4. Let t be w(4). Which is the smallest value? (a) r (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (485 - (-4 - -1))*28\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87 in 3\/4, 5, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 1. Suppose 0 = 20*t - 87 - 13. Let r = x + t. Calculate the greatest common factor of r and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -203*d**3 - 3*d + 9. Let o(r) = -68614*r**3 - 1015*r + 3045. Determine -2030*b(z) + 6*o(z).\nAnswer: 406*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-9)*12\/20. Determine n, given that 0 + s*n**4 + 0*n**3 - 1\/5*n**2 + 0*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s - 5. Let b be j(5). Let v = 48 + -42. Suppose -v = 5*r - 21. Calculate the highest common factor of r and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 3, 4, -1.73, 2?\nAnswer: -1.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*j**3 - 100*j**2 - 212*j\/9 - 4\/3 = 0. What is j?\nAnswer: -1\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**3 - 116*x**2 - 627*x + 899. What is s(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r - r)*(11 + 26 - 10 + (3 + 3 - 5)*(1 - 4 + 1) + 0 - 2 + 4) + 2*r + 3*r - 3*r.\nAnswer: -52*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/27)\/((-4)\/(-90)). Let b = u - 11. Let v(z) = 0 + b - 4*z + 0 - 2. Determine v(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -1.2. Let m be (4\/6)\/(2\/(-71)). Let b = m + 23. What is the biggest value in g, b, -2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 171 = 4*s. Let y(j) = 8*j + 59. Let p(t) = -t. Let m(o) = -5*p(o) - y(o). Let k be m(s). Which is the nearest to k? (a) -0.2 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -32*r + 354. Determine c(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116.7944 + 11124.6.\nAnswer: 11241.3944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/4025 + 86131\/8050. Let j = -45431\/4836 - 9\/403. What is the common denominator of z and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4630 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 706 and 23651.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + l - 2*l + 2*l + l + 1 + (12*l + 3*l - 9*l)*(0 + 2 + 0) + 6*l + 2*l - 2*l in the form y*l + x and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 169489.\nAnswer: -84744.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12784 divided by -29\nAnswer: -12784\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 5*n**2 + 4*n - 4. Let o = 77 - 78. Let m(l) = -l**2 + l - 1. Let i(b) = o*j(b) + m(b). What is i(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 6901?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 135 + 85 + 186 - 612.\nAnswer: 5*q - 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 43*b**2. Let v be p(1). Let f be 7\/4 - (-2)\/8. Suppose -9 = f*o - v. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4578, 4577, 4576, 4575, 4574?\n\"Answer: -c + 4579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.401309941 to five decimal places.\nAnswer: 0.40131","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*a**2 - 646828 + 4*a**2 - 2*a**3 + 646834.\nAnswer: -2*a**3 + 56*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(1 - 453\/450). Let l be (23251 - 1)*q\/(-9). Round l to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.98677387.\nAnswer: 2.96032161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -86513045 and -0.2.\nAnswer: -86513045.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3022451*s**2 - 14546. Let f(d) = 2078*d**2 - 10. Calculate 5*b(t) - 7273*f(t).\nAnswer: -1039*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Let v(l) = l**2 + 3*l**2 - 3 + d. Let s(r) = 2*r - 1 - 5*r + 1. Calculate v(s(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 10. Suppose -15*c + u*c = 16. Suppose -2*b - i + 26 = 0, 6*i = -5*b + 2*i + 62. Calculate the lowest common multiple of b and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 greater than or equal to 2212564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*r, w - 5*r = -2*w + 110. What is the least common multiple of 10 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -5 + 1162\/166. Sort -2, 1, 5, c.\nAnswer: -2, 1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0621 times 3.8?\nAnswer: -0.23598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 496045*o**2 + 875*o + 175. Let c(u) = 17105*u**2 + 30*u + 6. Calculate -175*c(j) + 6*g(j).\nAnswer: -17105*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -64, 0.4, -0.5, 2, 0.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 63, 0, -17\/24, -2, -1\/8?\nAnswer: -17\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/((a\/(a\/((a\/(a**(2\/7)\/a*a))\/a)))\/a))\/a)**8\/(a**(-1))**(-1\/31) assuming a is positive.\nAnswer: a**(3961\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/497 + -16413\/994. Let k = 21 + 9. Calculate the common denominator of c and ((-100)\/(-3) + -1)\/(k\/(-9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 9*k = -42. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccww. Give prob of picking 1 w and 1 c.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 381309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -60. Suppose 4*u - 2*j = 22, -j - j = -2. Calculate the highest common divisor of u and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -124, -125, -126?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18600\/17 equal to -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10 - 55 = 0. Is -10*(1 + z\/5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105499524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3126150 and 810.\nAnswer: 28135350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4140 + -4140. Solve j = 4*u - 216 + 212 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 6. List the prime factors of q(9).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 7*k - 5*k - k. Let w(s) = -3*s**2. What is f(w(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 159110.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 - 756*k - 2976 = 0. Calculate k.\nAnswer: -248, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.01, 0.07, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 4:47 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1 + (4 + 1 - 4)*(-3 + 1 + 1) - 4 + 4 + 5)*(4*p - 32*p + 240*p) - 4 - p + 2 + 1.\nAnswer: 423*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 167*u - 99. Let q(a) = -46*a. Give q(l(z)).\nAnswer: -92*z**2 + 7682*z + 4554","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28362034933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -883*h - 14119. Calculate b(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -78331, -78330, -78329, -78328, -78327, -78326?\n\"Answer: m - 78332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.68 and 91435347532.8.\nAnswer: 91435347532.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -2\/9, -1, 1\/8, 0.03, 0.4 in descending order.\nAnswer: 0.4, 1\/8, 0.03, -2\/9, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476\/(-765) - (-110)\/(-2475).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*u + 67*u**2 - 35*u + 5*u - 5*u - 4*u**2 + u**2 + u**2 + 2*u**2 + (0*u + 2*u + 0*u)*(u - 2*u + 2*u) to r*u + v*u**2 + d and give v.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6*-2*((-10)\/(-12))\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 437, 0.5, 48, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + g + 326, g - 1374 = -4*t - 60. Let n = 442 + -227. Let k = t - n. What are the prime factors of k?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvnvvvnnvvvvvv. What is prob of picking 4 v?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (42\/8)\/((-6)\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 256 = 16*p. Let i(s) = -10*s - 42. Is i(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188817\/40400 - 493\/101. What is the common denominator of f and -73\/950?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 117*p + 3043. Give n(78).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + 7. Suppose 2*m = -4*l + q, 9*l = 4*l + 25. What are the prime factors of 14\/m + 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -111784525.5 to the nearest 10000.\nAnswer: -111780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0 (c) -1 (d) 18293 (e) 4 (f) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275, 282, 289, 296?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + -4 - -7 - 4) + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8, 0 = -2*v + z + 9 + 5. Suppose 5698 = 140*f + 1184 - 1086. What is the greatest common factor of f and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 3)\/(-3) - 18. Let o = w - -16. Is 878\/3*(-3)\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-390)\/(-9) - 18) + -28.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3039\/170, -1.2, 1\/4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s - 2. Let l be i(2). Let t(p) = 2*p**2 + 2*p + 1. Let o be t(-1). Differentiate -l + w + 0*w + 2 + o wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/49849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**5\/60 + k**4\/3 + k**3\/2 - 5*k**2. Let n be x(-8). Suppose 2*t - z = -n, 4*t - 11 = -3*z + 8. Is t bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 4*m**2 - 140. Let n(l) = -2*l**3 + 12*l**2 + 423. What is 3*n(k) + 8*q(k)?\nAnswer: 2*k**3 + 4*k**2 + 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135 + -2296\/17. Which is the biggest value? (a) 3 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/195, 1, 5, -2\/15, -1\/5?\nAnswer: -1\/195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 38. Let g be n + ((-2)\/7 - 185\/(-35)). Suppose 5*x - g*x = 8*x. Is 1\/53 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 < 425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, 1, -1578, -1\/5, 5?\nAnswer: -1578","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 313986 and 177682?\nAnswer: 22920978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abababb. Give prob of picking 1 a and 2 b.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9750000 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*s - 43*s - 1307 + 339. What is the greatest common factor of 11044 and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23702 (base 9) to base 13\nAnswer: -72c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 3. Let x be j(-3). Suppose 3*p = -x*p + 6. Find the first derivative of p - 2*y**2 - 2 - 4 wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 12*o**3 - 3 + 6*o**3 + 5*o**3.\nAnswer: -o**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2011368 by -344.\nAnswer: -5847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 = -3*f. What is the nearest to 2 in 0.2, f, -2.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -312, -557, -894, -1353?\nAnswer: -1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 56489, 56492, 56495, 56498?\n\"Answer: 3*w + 56486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3772*u + 13847*u + 6822*u.\nAnswer: 24441*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from evvvvvev.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 - 1181*l**2\/4 - 818*l - 447 = 0. Calculate l.\nAnswer: -2, -3\/4, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -11\/3271451?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -4, 2, -0.4, 0.21 in descending order.\nAnswer: 2, 1.1, 0.21, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 237270 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-20 - -21)\/(2\/12). Suppose -4*k = d*t - 3957, 4*t - 2874 + 894 = -2*k. Is 76 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 3 = 8*l. Suppose 0 = l*u - 2*q - 103, 5*u - 2*q + 3*q - 176 = 0. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1978620 and 672?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:03 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 0.5, 8, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 3 (c) -2\/3 (d) -3.81 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.7, 7, 2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/7 + (-144)\/(-28). Suppose 0 = -h + u*h - 36. Suppose h*s - 25 = 4*s. Solve -s*r + 2 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10888855.\nAnswer: 5, 107, 20353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2\/3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y**4 - 4720*y**3 + 309946*y**2 - 68644*y = 0.\nAnswer: 0, 2\/9, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 1:08 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 203 + -190.1. Let t = -3 - 10. Let f = t + m. Are f and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -4 + 0 + 2. Let m be 0 + 0 + g + 3. What is the third derivative of 3*s**2 - 5*s**m + 3*s**3 - s**3 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/7, -1, 0.2, 3 in ascending order.\nAnswer: -12\/7, -1, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50683899 is divided by 256.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 take away 0.2?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from jqlllqqqjnljqc.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092 minus 357?\nAnswer: -356.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 154237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6064 is divided by 468?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10*-9\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 - c + c**3 + 3 + 3*c - 4*c. Let p be 2*21\/(-6) + 3. Let x be t(p). Solve 10 = 4*s + 5*i, -5*i + 1 - x = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 + 2204667*y - 2204664 = 0. What is y?\nAnswer: 1, 734888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x + 35787 - 66671 = -27*x - 33958 for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*(3 + 4 + -4). Let r = -9 + 8. Let g be 2\/4 - r*n\/(-6). Solve -1 - 3 = g*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, r: 2, h: 7, s: 3, o: 3}. Give prob of sequence so.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 6. Let o be a(21). Suppose o*r + 11*r = 18*r. Solve -17 = -r*p + 4*p - h, 0 = 4*p - 2*h + 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 + 0 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3 = -3*d, 3 = 4*j + j - 4*d. Let l be 2\/(-9)*j*-6. Suppose -2*k + l = 0, 5*i - 21 = 2*k - 5*k. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m - 25. Let u = -20 + 29. Calculate the remainder when m is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.2 - 15.1. Let d = 1.8 + t. What is the nearest to d in -5, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*j + 5*j + 0*j**2 - 2*j**2)*(75*j + 38*j + 10*j)*(1 + 1 - 1) in the form k + h*j**3 + l*j + a*j**2 and give h.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4797 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39186935323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 = -3*l + 10, -5*t = l + 1. Let p = t + 1. Suppose -u - 4*u + 20 = p. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*24*(-2)\/(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/377 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110101010110010101 (base 2) in base 10?\nAnswer: -480661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.001 + -13.801. Let c = 13.799943 + v. What is c rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b - 8 + 3 - 2*b + 9 - 3. Let f(l) = 4. Let j(d) = d**2 + 5*d + 6. Let g be j(-4). What is g*w(y) - f(y)?\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1142175 and 33465?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x + 59 - 84 = -54. Which is greater: 4462 or x?\nAnswer: 4462","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 5:06 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 9*y - 1. Let q(c) = -15*c**2 + 63*c - 7. Let a(j) = -28*i(j) + 4*q(j). Let m(s) = -14*s**2 + 2. Calculate a(m(b)).\nAnswer: -784*b**4 + 224*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 500 divided by 5\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*v + 126*d*m*v - m - 6*v - 12 wrt d.\nAnswer: -3*d**2*v + 126*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 20. Let a be 6*4\/(-8)*-3. Let m be k(a). Let d = -81\/7 - m. What is the second smallest value in -0.1, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -60\/11, 0.1, -0.2, 0.3, -3\/11, 24\/7, -11?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4654*u = -194*u + 153118 - 6283 + 197373 for u.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 51*f + 1022 = 0 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59193 by 1.\nAnswer: -59193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 316266226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1. Suppose -d - 5 = 2*n + s, 4*n - 5*d = -12. What is the common denominator of (n - -1) + (-440)\/16 and -59\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 40*l**2 + 80*l + 1600. Let v be b(-39). Solve -3*k - 327 = -3*j - 324, 0 = k + v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 28*y + 62. Calculate z(28).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1101 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 22. Let x = u + -10.99974. Round x to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 1. Let n(d) = -8*d - 9. Let v(o) = -6*h(o) + n(o). Let c be v(-3). Let j = c + 0. Let y(s) = s**3 - 4*s**2 + 3*s + 2. Determine y(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -7*a**3\/6 + 165*a. Let z(m) = -69*m. Calculate z(w(g)).\nAnswer: 483*g","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 125 + -125. Suppose -3*x + 16*y - 12*y + 146249 = j, -3*y + 48754 = x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**5\/20 + 5*i**4\/12 - i**3\/6 - 5*i**2\/2 + 11*i. Determine s, given that j(s) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 250*j - 11506 = 270*j - 11*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h*h\/(h*h\/h**(-1\/4))*h)\/h*h)*h\/(h*h*h**(2\/3)))\/(h*h\/h**(-1))**(5\/4))\/(((h\/(h\/h**(2\/7)))\/h)**13*(h**(2\/3))**(-12\/5)) assuming h is positive.\nAnswer: h**(991\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, 5, 13, -701.84?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*w = w - 163, 0 = -4*w - 4. Suppose t + 7*t - l = 0. Let y = -24 + t. Which is smaller: y or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.562792651 rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ootooouut. What is prob of picking 2 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**2\/8 - 979971813*m\/4 - 320114918091502323\/8 = 0?\nAnswer: -326657271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 839528*d**3 - 356*d**2 - 457?\nAnswer: 5037168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 486 and 21028032?\nAnswer: 189252288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5 = 1. Let c(q) = -2*q**2 + 22*q - 7. Let o(i) = i**2 - 11*i + 3. Let r(p) = h*c(p) - 5*o(p). What is the units digit of r(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = p - 1. Let z = 73 + p. What is the greatest common divisor of 130 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -11. Suppose 6*h - h + 4*n = 259, 3*n = 2*h - 122. Suppose -q = 4*c - 33, -5*c - 4*q + 0*q = -h. Calculate the greatest common factor of t and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1753*21.18\nAnswer: -37128.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 220*a**2 - 3555*a - 8550.\nAnswer: 5*(a - 57)*(a + 3)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5970659 at least -5970658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 19.6. Let g = 1.8 - r. Let v = g + -0.2. What is the closest to 1 in 0.1, v, -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-286)\/(-1001) + 1\/2 + 236\/56?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -648476 or -648484?\nAnswer: -648476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 6*z - 3*u = 2*u + 15, -17*z - 2*u = -z - 5*u + 92 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 494 or 493?\nAnswer: 494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -41. Let y = -44 + q. Which is the nearest to -0.11? (a) 4 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 165*f = -q + 170*f + 20, 50 = -4*q - 6*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -284*s**2 + 40*s + 96*s**2 + 90*s**2 + 99*s**2 + 32*s in the form a*s**2 + v + r*s and give r.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 71320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, f: 5}. What is prob of picking 2 f and 1 d?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 635, 1267, 1899, 2531, 3163?\n\"Answer: 632*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -2*a + 3*p - 322, p = -2*a - 306. Let t = 181 + a. What is the smallest common multiple of 12 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -14*i + 6. Let n(d) = -30*d + 11. Determine -7*h(t) + 4*n(t).\nAnswer: -22*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 66 = 57. Suppose -2*q + 21 = 5*o, -2*q - a*o = -5*q + 42. What is the first derivative of 80 - q - 38*m**4 - 30 wrt m?\nAnswer: -152*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300470 (base 8) to base 16\nAnswer: -18138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69861 + -69825.009. Let n = a + -36. Round n to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30987 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 266 + -294 - (-10 + -2) - (1 - 8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -103*o. Let x(z) = 8*z + 3. What is k(x(d))?\nAnswer: -824*d - 309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 31*y + 17*y + 14*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20633720 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*z - 34*z + 16 - 17 to t*z + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9.066 - 41\nAnswer: -50.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 270\/2 + 10\/5. Let h be 6\/(-27) - i\/(-9). Let q be 4\/2*(-75)\/(-2). Calculate the highest common factor of h and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -265 + 267. Let u be (235\/75 - t) + (-8)\/10. Factor -1\/3*r**4 - 1\/3*r + 1\/3*r**3 + u*r**2 + 0.\nAnswer: -r*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23969113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-168)\/70)\/(1\/50*-3). Suppose -156 = -5*g - 2*p, g + 0*g = 5*p + 42. What is the highest common factor of f and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.65 - -5.68. Which is smaller: 57 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1 - (10 - 4)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 4*t - 2*t)*(-1239 - 1252 + 6003*t + 2491)*(-2*t**2 - 2*t + 2*t).\nAnswer: 12006*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 31 = -l. Let b(i) = i**2 - 5*i + 3. What is b(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o = z - 12*o + 16, -4*z + 28 = -3*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2193, 2275, 2415, 2613, 2869, 3183?\nAnswer: 3555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:02 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/70 and 22\/2106195?\nAnswer: 4212390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y + 13*y + 32*y = -190 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12*(((-210)\/8 - -4) + 2). List the prime factors of 35\/(-28)*(3 + y).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62157479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w - 35 = 199 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480 + -651085905.13.\nAnswer: -651085425.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**4\/12 - 13*q**3\/6 - 4*q**2 + 2*q. Let i be f(-12). Solve i*y = 8 + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 13465?\nAnswer: 13456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 5) + 10 + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -173*c**9\/504 + 27*c**5\/10 - 68*c**2 - c. Find the third derivative of l(o) wrt o.\nAnswer: -20760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2 - -2.3. Let n = c + -1.2. Let k be 2\/(-5)*(-10)\/16. What is the nearest to n in -0.3, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 6 + (-5 + 2 + 2)*(0 - 1 + 3) + 1 - 2 + 3 + 1 - 2 + 0)*(0 + 15*p + 0).\nAnswer: 60*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24846)\/(-35754)*16\/(-328)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 - (-1 - (-3 + 6)). Suppose -w*n + 300 = -9*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h**2 + 5*h + 5. Let a(x) = -9*x**2 - 4*x - 4. Let s(w) = 5*a(w) + 4*v(w). Let m(r) = 2*r. Give m(s(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**21*i*i\/i**(-14) assuming i is positive.\nAnswer: i**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 7195*y + 3994576. What is v(-686)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 386299\/45 + -8584. Which is smaller: x or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(988\/(-195))*(-3)\/27\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**10\/(u*u**15*u))**6)**(-11\/4) assuming u is positive.\nAnswer: u**(231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -38\nAnswer: -25\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3\/54*-75 - (-5)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295 and 2885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.429286 rounded to 4 decimal places?\nAnswer: 0.4293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2597483 is divided by 2597358.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-896)\/(-184) - (192 - 177).\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 3 (c) -1\/6 (d) -5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/4)\/63*5)\/(1 - 6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -41, -62, -83?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8621*r**3 - 4*r**2 + 4*r**2 + 8613*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*p**2 - 70*p + 70*p + 6 in the form b*p + y*p**2 + o and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11375 and 6308575?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 7:23 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 + -6) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -35*b**3 - 15*b**2 + 20. Let c(h) = -5*h**3 - 2*h**2 + 3. Let k(l) = 30*c(l) - 4*q(l). Find the first derivative of k(p) wrt p.\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5)\/(675\/(-18)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 14) to base 5.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 17832*g + 8. Let w(f) = -f + 16. Let x be w(14). Suppose 0 = -2*v - 5*z + 5 - 3, x = -z. Let p be c(v). Round p to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5322*a = -5365*a + 387 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83 - 83.187. Let x = i - -0.1870123. Round x to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0415407396 to 4 decimal places.\nAnswer: 0.0415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.857, 5, -5, 0.3, 4\/41?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -60478+0\nAnswer: -60478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 71. Suppose -3128 = -49*i + 3*i. Let c = i + h. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n. Let w(x) = 0*x**2 + 6*x**2 + 2*x**2. Determine w(r(z)).\nAnswer: 128*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 184 = 4*y, -3*k + 2*y + 132 = -1. Let a = 45 - k. Suppose 0 = -3*r, -2*r = -a*j - 5*j + 40. Solve 6 = 3*w - 3*x, -w = -5*w - 3*x + j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -243*b - 773. What are the prime factors of w(-15)?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 818, 82 in ascending order.\nAnswer: -6, -2, 82, 818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*x**3 + 486*x**2 + 70*x.\nAnswer: -2*x*(x - 5)*(50*x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (sqrt(304) + (0 + sqrt(304))*-3))**2 - ((-1*(sqrt(304) + 0 - sqrt(304)) - sqrt(304)) + sqrt(304) - sqrt(304))**2.\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19239964 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49262 + 49243 = -x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbrusbufrfrrsusuru. What is prob of sequence ru?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.3 + 6. Let m be 6 + -4 - (1 + 1). Is m less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-780)*-165 + 35.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/3 (b) -1\/2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 12537*g - 12539*g = 1, -g + 5 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -0.5. Let m = -390 - -388. Which is the closest to 2? (a) m (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25507336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 124514626 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 1.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/w**3*w**(-8))**19 assuming w is positive.\nAnswer: w**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -196\/89?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 28*v + 30*v.\nAnswer: 57*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 238*t - 234*t + j + 31, 3*j + 47 = 38 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/87*(-7 + 43)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -3, 8, -162, 2 in increasing order.\nAnswer: -162, -3, 0, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 64\/7, -1\/4, -101 in descending order.\nAnswer: 64\/7, -1\/4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70 - (5\/30 - (-2)\/(-12)). Let g = 86 - a. What is the highest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -3 (b) -1\/21 (c) -2\/11 (d) 2 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18749987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amssmmsmmammsamssma. Give prob of picking 1 a and 1 m.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -188 + 187.09. Let g = 8.89 + s. Round g to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(117\/42) + (-12)\/(-18). Suppose -280 - 239 = -3*z. What are the prime factors of 3\/(-6)*q + z + 0?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1458 and 169281.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 710 + -699. Let u(v) = -2*v**2 + 22*v + 8. Determine u(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 273*a + 190 - 99.\nAnswer: 273*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -1\/2, -3, -9\/7, -1\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (665*d**2 - 23*d**4 - 32*d**4 + 54*d**4)*(-d + 0*d + 0*d).\nAnswer: d**5 - 665*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let v be -15 - (93\/(-3) - -13). Solve -3*q + o - 124 = -137, -3 = v*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - 2*sqrt(208)) + -1 + sqrt(637) + sqrt(637) - ((sqrt(1053) + -6*(sqrt(1053) + -3*sqrt(1053)))**2 - sqrt(1053)).\nAnswer: -177958 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13301345 (base 6) to base 8.\nAnswer: -1542301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -217. Let k = z - -310. Suppose k = 7*q - 300. What are the prime factors of q?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2*v + 10 = 5*a, -2*a = -2*v + 14. Let d be (-255 + 257)*(v - 1\/(-1)). Solve -2*f - 2*f - 5*i + d = 0, -f - 3*i + 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, v: 7}. What is prob of picking 3 v?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 0.4 (c) -6 (d) 0 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 + 565. Let b = u + 1188. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1366555 (base 8) in base 10?\nAnswer: -388461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59176223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**6\/60 - y**5\/5 - 3*y**4\/8 - 13*y**3\/6 - 2*y**2 - 12. Is b(9) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, v: 1, n: 1, c: 3}. Give prob of sequence gccc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547289407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 2*p**2 + 4*p - 6*p + 12.\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -23110?\nAnswer: 23113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-1\/13))\/(v\/v**(2\/47)))**(-26\/9) assuming v is positive.\nAnswer: v**(-1180\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 19*c - 2. Let y be k(7). Let t = y + -52. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22233542 (base 9) in base 2?\nAnswer: 101001000101001101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - a + 2507 = 0, -a + 0*a = 3. Suppose -2525 = -5*p - h, -p - 2*h - q = -6*p. Is 503 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811 + 712 - 1425 = -950*n + 1326 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3 + 90*c**2 + 1048*c + 3480 = 0. What is c?\nAnswer: -29, -10, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1595*d. Let j(i) = -18*i**2 + 2. Let v(r) = -26*r**2 + 3. Let b(n) = 3*j(n) - 2*v(n). Calculate f(b(g)).\nAnswer: 3190*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42413, -42401, -42373, -42323, -42245, -42133?\n\"Answer: h**3 + 2*h**2 - h - 42415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30901819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 2:11 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -5. Let u(q) = -q**3 + 8*q**2 - 5*q. Let s be u(x). Round s to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6580\/196 + -34 - (-86)\/266.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.147 + -0.027. Let o = -0.1 + 0.3. What is the second biggest value in d, 0, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17077517.\nAnswer: 17077517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 470 and 376?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 322333232 (base 4) to base 10\nAnswer: 241646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 42460*o + 42465.\nAnswer: -5*(o - 1)*(o + 8493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*8\/(0 - -2). Is (-2)\/j - (-339)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 11 + 64 + 62)*(-2*o**2 + 2*o**2 - o**2)*(-54 + 54 + 10*o**3).\nAnswer: -810*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p**3 - 2*p - 5. Let g(s) = -19*s**3 + 3*s + 10. Let j(q) = -2*g(q) - 5*x(q). Let o(w) = 6*w**3 - 3*w - 4. Give -4*j(i) - 5*o(i).\nAnswer: -2*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**5\/20 - t**4\/12 + t**3\/6 + 2*t. Let q(d) = 2*d**3 + 5*d**2 - 3*d. Let a = -201 - -204. Determine a*g(k) + q(k).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = q. Let v = -2 - q. Let z = -428\/5 + 86. Is v <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (7 + -3 - 17)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 329838468 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80746 is divided by 1242.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10800 and 8?\nAnswer: -86400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -87*a - 607. Give m(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + w = -3*v - 16196, 4*v = -4*w - 21584. Find the common denominator of -59\/6 and 6\/4*(-8 - 41390\/v).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72.966167 - -0.96202.\nAnswer: 73.928187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 - -108. Let r = 53 - m. Suppose -y + 3*a = -2*y + r, 0 = 2*a. Solve 2*c - 2 = 2*x, 3*c - y = 2*x - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, y: 12}. Give prob of sequence gyy.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515076913 - 6*h**3 + 1508*h**2 - 1508*h**2 - 515076913.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 0.038 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = -52*k - 20 + 221 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/((-153)\/(-12)). Let o be 2\/(-6) - (-2)\/(-3). What is the biggest value in o, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/8 + 1\/2. Suppose 0 = f*a + h + 13, 0 = -a + 4*h + 6 - 17. Let g(c) = 3*c**2 + 2*c - 1. Let l be g(a). Round l to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*x + 123 + 29*x + 56*x wrt x?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146853049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.8 + 7. Put 3, s, 0.5 in ascending order.\nAnswer: s, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 9)*3\/(-4). Suppose 7*l - b*l = 1. Do l and 3\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/30)\/(1\/(-8)). Let z be (-6)\/(-9)*6*10\/4. Suppose z = -3*m + 4. What is the third smallest value in m, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4600076 - 0.46. What is t rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d - 19. Let h be n(6). Suppose -5*o + 555 = 2*a, -2*a + 550 = h*o - o. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (0 + 9)) + 6 + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + 11)\/(1 + 0). Suppose -2*w = -0*w - r, 5*p = 5*w - 25. What is the second smallest value in 5\/3, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3427*g**3*n**2 - 18*g**3 + 1721*g*n**2 + 101*g wrt g?\nAnswer: -20562*g*n**2 - 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from cjjzjzzjzc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, g: 2, s: 1, k: 1}. Give prob of picking 1 g, 1 s, and 2 o.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 8*v - 116. What is j(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 28370961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 456*k**2 + 51952*k + 1629. Give i(233).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 7*j**2 + 10*j + 5. Let h be p(5). Solve -h*u + 6 - 1 = -5*i, -3*u - 4*i - 18 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*693636\/160)\/((-42)\/(-24)). Let y = p + 4955. Find the common denominator of 52\/105 and y.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 978866 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/(-6))\/((-4)\/32). Suppose 2*v - c = -v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/8 and 69\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a factor of 863142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 11*h**3\/2 + 5*h. Let s(q) = -8*q - 13*q + 17*q + 6*q. Determine b(s(j)).\nAnswer: 66*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2 - 4*p - 9*p**2 - p**3 - 5*p + 2. Let n be q(-8). What are the prime factors of (n\/3 - 0)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**6\/60 - 5*r**3\/3 - 3*r**2\/2 - 7. Let p(q) be the second derivative of w(q). What is the first derivative of p(l) wrt l?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 68 = -25*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22532*a**2 - 22536*a**2 - 3*a + 45067*a**2 + 3*a - 111.\nAnswer: -a**2 - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 8. Let f be h(3). Let w(u) = 3 + 19*u**f - 3 - 1 - 2*u. Calculate the remainder when w(-1) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*a = 160*a - 211*a + 13524 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628923?\nAnswer: 3, 29, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -12 + 11 + -6 + -5 + 6 + -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -7*c + 4*c. Suppose -10*m + 11*m = c. Suppose m*q - 4 = 7*q. Solve -2*y = q*w, -w - 3*w - 8 = -4*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3489 times -1.801\nAnswer: -0.6283689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2\/5 - 680236*b\/5 + 57840126962\/5 = 0.\nAnswer: 170059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -w - 2. Let x be (-8)\/w*9\/3. Suppose 31 - 42 - 97 = -36*a. Solve a = -5*c + x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 24 - 24 + 48 - 2*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 807.8572 centimeters?\nAnswer: 8.078572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125013*a + 125451*a = 35040 for a.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 45. Suppose s = 4*l - 37 + 13. Suppose l*c = 23 + 1. Solve -5*u - z = -3, c*u - 2*u + 6 = 2*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*s + 71*s + 7200 = 0. Is s a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*q**3 + 7*q**2 + 128 - 128 wrt q.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**5\/120 + 4*k**3 - 4. Let b(h) be the third derivative of l(h). Let v(w) = -7*w. What is v(b(z))?\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 23*k**2 + 45*k - 62. Let b be n(-25). Suppose b = 3*i - 45. What is the lowest common multiple of 33 and i?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*n**3 + 2 + (-7*n + 4*n + n)*(n**2 + 10*n**2 - 3*n**2) to q*n**3 + v + b*n + d*n**2 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-1 - -53)) + (-28)\/14. Let n = u + 103. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6227 divide 1073868908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 32*c + 103. Suppose -37 = -k + 5*w, -40*k - w - 20 = -36*k. Give s(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14*g**3 + 1. Let r(h) = 68*h**3 - h - 5. Let c(d) = -11*q(d) - 2*r(d). Calculate the remainder when 60 is divided by c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-400))\/(-1*2\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1160*l = 1156*l + 26, -4*g + 5*l - 34 = 0. Let w(b) = 2*b + 1. Let c be w(2). Sort c, -4, g in decreasing order.\nAnswer: c, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 0 (c) 4 (d) 0.1 (e) -6\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**4 - 2*k + 5. Let f(u) = -u + 1. Let s be 2\/3*(-2 - 1). Let b(x) = s*f(x) + o(x). Differentiate b(i) wrt i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127.787 + -128. Let l = j - 0.187. What is the nearest to 4 in -4, 0.07, l?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w - 1. Let r = 114 + -111. What are the prime factors of -5 + 18 - r*w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 411725830 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 1, e: 1, f: 1, l: 1, k: 2}. What is prob of sequence pep?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/51 + -71\/255. Which is the third biggest value? (a) p (b) 0 (c) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -419, -881, -1485, -2207, -3023?\nAnswer: -3909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) 2 (c) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127124?\nAnswer: 2, 61, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -92*y**2 + 5*y - 64. Let w(r) = 46*r**2 - 2*r + 32. Suppose 0 = -12*i + 7*i - 10. Let a(p) = i*m(p) - 5*w(p). What is the derivative of a(c) wrt c?\nAnswer: -92*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3537577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 4*z**2 + 2*z - 6. Let v(n) = n**3 - 3*n**2 - 2*n + 2. Let m be v(3). What is the remainder when (-101)\/m + 2\/(-8) is divided by r(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*n**4 + 47*n**3 + 5*n**2 - 82*n - 5 wrt n?\nAnswer: 84*n**2 + 282*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-8 + -2)) + (-7 - 15)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -65, -106, -185, -314?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 53*v + 289. What is u(57)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540\/98 - (-45)\/(-63)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/182 - 200\/455.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -344 in ascending order.\nAnswer: -344, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -816306 divided by 3\nAnswer: -272102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**4 + m**3 - 2*m. Let g(r) = 4*r**4 + r**3 - r**2 - 14*r. Let q(o) = -d(o) + g(o). Find the second derivative of q(t) wrt t.\nAnswer: 60*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (52\/3)\/((-6)\/(-18)). What is the tens digit of o\/4 + (-1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -21. Let r = 90 - 94. Which is the biggest value? (a) 2\/15 (b) n (c) r (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -315 - -315. Sort x, -89, -1.\nAnswer: -89, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-40)*-4)\/((-1)\/(-10)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 219, 622, 1225, 2028?\nAnswer: 3031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 890141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/7*17\/(1768\/(-16))?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.1 in 0.1, 1, 0.11, -1.98, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 9, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 15, 0 = 5*i + 4*v - 0 - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**2 + 3*j + 1. Give o(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -436711 + 5?\nAnswer: -436706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 242 + 200?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.5 (c) 3\/53 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 2:32 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 247.981 years?\nAnswer: 0.247981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/26849 - -4054151\/644376. What is the common denominator of t and 161\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2187*o**5\/5 + 1215*o**4 + 6264*o**3\/5 + 2952*o**2\/5 + 624*o\/5 + 48\/5 = 0. What is o?\nAnswer: -1, -2\/3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2260*z. Let q(x) = -x. Give f(q(l)).\nAnswer: 2260*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1620541 and 89739?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.002634ml?\nAnswer: 0.008002634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*z**5 + 0*z**4 - 2\/3*z**2 - z**3 + 0*z + 0.\nAnswer: z**2*(z - 2)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32385659743\/60 - -539773936. Let r = j + -25885\/2. Calculate the common denominator of r and -37\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/24327 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -35*y**2. Let n(r) = 332*r + 332*r - 665*r. Determine n(h(l)).\nAnswer: 35*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -380*o - 10. Let m(y) = 1141*y + 28. What is -8*l(r) - 3*m(r)?\nAnswer: -383*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*w**4 + 10*w**4 - 2*w**2 - 2*w**2 - 8*w**4 wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -5 (b) -102 (c) -14\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + q = -12, 16*q = -k + 11*q - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -18*n + 309. Let i be w(15). Which is the nearest to 1? (a) 0.2 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -d + 11. Let z = d - 6. Solve u - c + 1 = 0, 5*u + 7*c = z*c - 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8706 - -9155. Solve 0 = 13*s - 488 + o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11190000 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(1\/4)\/o)\/o)**(-28)\/(o**(-1))**(1\/17))\/(((o*o\/(o\/o**(-2\/3))*o)\/o)**(5\/6)*(o\/(o*o**6))\/(o*o**(-1\/3))) assuming o is positive.\nAnswer: o**(8399\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 3187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8582921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32\/9 - -661\/153. Calculate the common denominator of -53\/9 and i.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1887*p**2 - 350*p**2 - 66*p**2.\nAnswer: -2303*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c + 13*c + 0*c - 2*c - 2 - c**2. Suppose 5*o + 10 = -5*a, 2*o = -4*a - 13 + 3. Let y be a*(-3)\/((-9)\/(-4)). Determine f(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618039 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5.123 * 2581\nAnswer: -13222.463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 13*m + 7403175. Let p = m - 25077425. What is p rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 794.2 + -796. Let m = -561745.199942 + 561747. Let t = m + r. Round t to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*a - 16, 0*u + u + 13 = 5*a. Suppose 14 = 3*b + q, 0 = b - 3*q + u*q - 2. Solve b*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363369 smaller than 363353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 140320718 to the power of 1\/2, to the nearest integer?\nAnswer: 11846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 2*k = 0. Let z be (-1 - k)*3 + 5. Let p = -39 - -41. Solve 0 = p*u + z*d - 14, -d = -u + 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -550, -1088, -1612, -2110, -2570, -2980, -3328, -3602?\n\"Answer: 2*r**3 - 5*r**2 - 537*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c = 16*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.835164us?\nAnswer: 0.007835164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**5\/20 - k**4\/12 - 7*k**2\/2 - 2*k. Let n be q(0). Let v = n - -43. Calculate the greatest common divisor of v and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 70 = -250. Let n(w) = -w. Let b(d) = 5*d**2 + 13*d - 5. Let q(z) = b(z) + 4*n(z). Calculate the remainder when q(-7) is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1870633 is divided by 265.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -0.8. Let s = m - 0.2. Let v = -0.2 - 0.3. Which is the nearest to 1? (a) s (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rddgdrrdrdrdrrdddrd. Give prob of picking 3 d and 1 g.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**4\/3 - 21712*m**3\/3 + 210652*m**2 - 1919904*m + 5238720 = 0. What is m?\nAnswer: -5457, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 - 3 - 3*n**2 + 3*n**2 - 4*n**2 wrt n?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2283909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1007 and -8082.\nAnswer: -7075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71407 and 497324.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -264*g**3 - 11*g**2 - 34*g - 195. Is w(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.3592 and -2.\nAnswer: -12.7184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 215. Let w be v\/(-10)*218\/(-3). Let o = 1144 + w. Find the common denominator of o and 41\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 7\/3*t**3 + 0*t + 0*t**2 - 25. Let q(h) = -2*h**2. Determine x(q(c)).\nAnswer: 28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/12 and 3\/36*(-1498)\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8424.6363 nanoseconds?\nAnswer: 0.00000000234017675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2\/7, 8, 4, -2, 4.7 in descending order.\nAnswer: 8, 4.7, 4, 2\/7, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 725 and 785.\nAnswer: 113825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**4\/12 - p**3\/3 - 3*p**2\/2 + 64*p. Determine j(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -2408, -8089, -19132, -37319?\nAnswer: -64432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 8, 4*p + 3*q + 492 = 120. Let f = 90 + p. Solve f = 2*s + 1 - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Let k = h - -5. Suppose 5*i - k = 0, 0*d + 4*i + 41 = 5*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*o + 52, 2*o - 20*h + 17*h - 26 = 0. Which is the fourth smallest value? (a) 2\/13 (b) 0 (c) 5\/2 (d) 4 (e) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from rlzrllzzlylv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33299 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqt when three letters picked without replacement from qqtqqtqqqq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12104 (base 13) to base 14\nAnswer: c104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 414265775*z + 221840247 wrt z?\nAnswer: 414265775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5929 is divided by 219.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6\/5*j**3 - 4\/5*j**4 - 8\/5*j + 0 + 16\/5*j**2 + 2\/5*j**5 = 0. What is j?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7226505 and 5895?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*t - 18 - 2, 0 = -5*p - 5*t + 110. Let g(f) = 5*f - 39. Let v be g(p). Let o = -77 + v. Solve -2*s - 6 = -o*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:01 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2 - 17 + 17 + 2*i. Let c(n) = 1. Calculate -2*c(h) + g(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 2599.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_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 z be -2 + (-392)\/(-18) - 71\/(25560\/(-80)). Suppose -2*b + r = -5*b - 3, r = -3. Solve b = 3*y - 4*g + z, -27 = -3*y - 5*g - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/55205*302\/3. Let l = 6\/61 + o. Let c(m) = m**2 + 43*m + 457. Let q be c(-24). Is q greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-8613)\/(-20097))\/(60\/(-1582))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 1\/3, -0.5, 504041, 3?\nAnswer: 504041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4756, -9506, -14242, -18958, -23648, -28306?\nAnswer: -32926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13391630717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5103) + sqrt(5103)*-2)\/sqrt(9) + -1 + sqrt(56)\/sqrt(32) + (sqrt(7) + sqrt(84)\/(sqrt(12) + sqrt(36)\/sqrt(3)) - sqrt(7)))**2.\nAnswer: 16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -432? (a) 3 (b) -2\/13 (c) 0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 9 = 0, 0 - 4 = -5*a + 3*s. Let x = -91 - -56. Let c = x - -141\/4. Sort 6, a, c, -0.1.\nAnswer: a, -0.1, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(77) - (sqrt(77) + sqrt(77)*-3*4))*3)\/((3*sqrt(1584))\/sqrt(4)).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.527 + 0.46. Let k = -0.0669764 - a. What is k rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6917*s + 16*s**2 + 6917*s.\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 - -10)\/((-1)\/(-8)) and 36\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a\/((a\/(a*a*a*a**(-1\/6)))\/a*a)*a*a*a)\/a)*a**(-3\/4)*a)\/(a**(3\/5))**(-19) assuming a is positive.\nAnswer: a**(409\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83.813 + 83.1. Let n = 4.397 - f. Let x = n + -0.11. Which is the third biggest value? (a) -1\/5 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**3 - 164*l**2 - 2*l - 1. Let x(c) = -8*c**3 - 191*c**2 - 2*c - 1. Let j(y) = 7*w(y) - 6*x(y). Calculate j(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b (base 16) to base 15.\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/11 (b) 1\/3 (c) 0.1247 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247 = 35*q - 54*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-54)\/(-4))\/((-2)\/(-4)). Calculate the greatest common divisor of f and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -1\/2, -2\/7, -771, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21521516 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -8\/7, 0.1, 3, 11, -1\/3, -452\/45?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 7. Let q be 6 + 0 + 2 + -2. List the prime factors of i(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2047277 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 + -1221.\nAnswer: -1221.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/1 - (-58)\/4*4. Suppose 5*j - 25 = 0, 6*j = 5*g + 2*j + x. Let s be (-24)\/(-32)*g\/87. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/24)\/((-6)\/2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 + 25*j**2 + 25*j - 28. Calculate f(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 139, 82, -165, -596, -1205, -1986?\n\"Answer: i**3 - 101*i**2 + 239*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -219*w. Let h be l(-2). Suppose f + 9 = 4*f. Suppose 0 = 5*j - 15, 2*n - f*j = 193 + h. What is n rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d, -l - 6 - 7 = -4*d. Let i(v) = 2*v - 2. Let m(a) = 5*a - 5. Give l*i(q) + 4*m(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277379520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seepeletpeeeeesltse. Give prob of picking 1 p and 1 e.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 423 + -418. Let l = -227\/3 - -75. Which is the smallest value? (a) l (b) -1\/4 (c) p (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5628 + 8261 = 24*b - 6511. Sort 5, b, 3, 1.\nAnswer: 1, 3, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -606, -1159, -1710, -2259?\n\"Answer: c**2 - 556*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkj when three letters picked without replacement from kbkjjbbk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n + 44. Determine r so that -6*r**3 + 12 + 6 - 9 + r**n + r**2 + 24*r + 7 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5174508?\nAnswer: 2, 3, 61, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 61254*q**2 + 3675240*q - 4. What is v(-60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let r = -6 + q. What is the smallest value in r, 2\/7, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30.6, 12, -33 in ascending order.\nAnswer: -33, -30.6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20484 and 1259766.\nAnswer: 2519532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2 + 6*h - 45. Let r = -8 - -15. Calculate the remainder when g(-4) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/4)\/(b*b*b*b**(-13))*b*b**9*b*b\/b**(-6\/7))**50)**(-31) assuming b is positive.\nAnswer: b**(-479725\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6*k*k**(-4\/7)*(k*k**(-6))**(-43) assuming k is positive.\nAnswer: k**(1550\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -354, 17, 8326 in ascending order.\nAnswer: -354, 17, 8326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -28*z**2 - 11*z - 183. Let i(r) = -9*r**2 - 4*r - 63. Calculate 17*i(b) - 6*l(b).\nAnswer: 15*b**2 - 2*b + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {a: 4, c: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 25*u**2 - 161*u + 9. What is i(6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 3652 - 3532 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -36 + -2 + (-32 + 32 - (5 + 16))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - f + 112255 = -5223, z + f = 29371. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 24?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, -3\/8, -6, -0.3, 3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m**2 - m**2 + 0*m**2)*(4*m + m - 4*m) - 2*m**3 - 2 + 2)*(-1 - 1 + 1 - 6 + 3 + 1 + (1 + 2 - 5)*(0 + 0 + 2)) + m**3 - 3*m + 3*m.\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10*z**2 + 3*z - 2. Let t be n(2). What is the least common multiple of (28\/(-21))\/(2\/t) and (0 + 9)\/(7\/7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.6*1724.\nAnswer: -28618.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -1. Let d be 2\/m*(3 + -3). Solve -3*y + 6*s = s + 5, -y - 2*s + 2 = d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -3*t**2 - 1. Let m(y) = -5368*y + 5368*y - 2*y**2. What is m(n(k))?\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 4. Let i = s - -9. Let b be (-21)\/(-2) - 9\/(-6). Calculate the highest common divisor of i and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a millennium in months?\nAnswer: 20400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7670400 and 471410?\nAnswer: 7990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -12*d + 870. What is the units digit of u(41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18852*p + p**3 - 18852*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -1550, -5235, -12412, -24245, -41898, -66535?\nAnswer: -99320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 52 - 4*b - 56)*((-b**2 + 4*b**2 - b**2)*(-3*b + 3*b + 2*b) + 4*b**3 - 2*b**3 + 0*b**3).\nAnswer: -6*b**4 - 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 419152*u - 1. Let c(r) = r - 35. Determine c(v(o)).\nAnswer: 419152*o - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -15, -4, 27, 84?\n\"Answer: a**3 + a**2 - 13*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 451 and 2583.\nAnswer: 28413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b = 11 + 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q - 4. Let y be i(-1). Solve -s - k + 4 - 6 = y, 5*s + 5 = -4*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1096037553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 14 = 5*y - 1, 12 = -c + 4*y. Let b be (-6)\/(4\/2) + -1. Sort b, c, -3 in ascending order.\nAnswer: b, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21067449 minus -0.102?\nAnswer: 21067449.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3776*-0.3413\nAnswer: 1288.7488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2316, -2314, -2312, -2310, -2308, -2306?\n\"Answer: 2*k - 2318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -716, -1405, -2094?\n\"Answer: -689*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7941 to 2 decimal places.\nAnswer: 2.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 378261110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 569 + -567. Let z(b) = -3*b**2 + 5*b. Let w(x) be the first derivative of -2*x**3\/3 + x**2 - 6. What is h*z(m) - 5*w(m)?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46.04 + 46.12932. Let u = r - 0.089. What is u rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 475 - 232. Suppose 5*q = m + 22, -2*q - 5*m + 35 = 2*q. What is the third derivative of 50*d**2 - s + 243 - 5*d**6 + q*d**4 wrt d?\nAnswer: -600*d**3 + 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, -450, 15 in descending order.\nAnswer: 113, 15, -450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwbw when four letters picked without replacement from {b: 1, w: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.845679 to three dps.\nAnswer: -0.846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0*v + 4*v - 167 + 164 + v**2 + 15*v**2. What is the units digit of o(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014468642 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 10\/4)*16\/(-10). Let a = f + 210. Factor -185*s + a - 525 - 25*s**2 + 249.\nAnswer: -5*(s + 7)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.01 (b) -84 (c) -0.1 (d) -0.2 (e) -2\/9 (f) -14 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -59*n**2 - 115*n. Let k(a) = -a**2 - 37*a + 108*a - 36*a - 32*a. Let v(w) = -f(w) - k(w). What is the second derivative of v(u) wrt u?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957833421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -3 (c) 3\/7 (d) 66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812634?\nAnswer: 2, 3, 17, 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -560351*0.0854\nAnswer: -47853.9754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = -0, 3*f + 4*w + 25 = 0. Let y be 2460 - (-3)\/(f\/20). Suppose y + 720 = 8*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15 - 9)\/((-6)\/(-4)). Find the second derivative of 8*n**4 - 2*n**t + 15*n - 7*n**4 wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -148230 to the nearest one thousand.\nAnswer: -148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**6\/120 - 7*j**5\/12 - j**4\/24 + 20*j**3\/3 - 23*j**2 - 1. What is the second derivative of g(w) wrt w?\nAnswer: 6*w - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**3 + 8*x**2 - x + 12. Let p(s) = 29*s**3 - 22*s**2 + 2*s - 33. Calculate -11*n(u) - 4*p(u).\nAnswer: -17*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 5.28. Let i = 0.28 + t. Which is the closest to i? (a) 0 (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2012951053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 344 - 344. Solve 47*o + 79 + 203 = g for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 727, 1454, 2181?\n\"Answer: 727*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -43. What is the least common multiple of 138 and n?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-1\/2)*s)**(-1\/5))**4 assuming s is positive.\nAnswer: s**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttttttteeeettttttt.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p**2 + 1. Let u(x) be the first derivative of x**2\/2 - x - 7833. Give s(v) + 2*u(v).\nAnswer: 9*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.152 + 2.142. Let t = -0.99 + j. What is the biggest value in 2, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6049 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let y(x) = -3*x**2 - 4*x + 4. Let m(k) = -v(k) + y(k). What is m(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -13*y + 562. Let j be t(43). What is the fourth smallest value in 0.2, 5, 2, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 713 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1742906 and 99\/3168920?\nAnswer: 34858120","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**4 + 3*d**3 - 3*d**3 + (-240*d - 2 + 221*d - 1)*(2*d**3 - 5*d**3 + 0*d**3) to z*d**4 + g*d**2 + j + f*d**3 + v*d and give z.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 5*m**2 + 3*m + 3. Let u be v(4). Suppose -5*c - 5*h - 105 = 0, -111 = 6*c + 5*h + 6. Sort c, -5, u, 2 in decreasing order.\nAnswer: 2, u, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = -36 - 29 - 142. Sort 12, d, -2, -1 in decreasing order.\nAnswer: 12, -1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 1. Let l(a) = a**2 - a + 1. Let y(b) = -4*b**2 - 8*b + 7. Let v(u) = 3*l(u) + y(u). Let s(k) = 3*r(k) + v(k). Is s(7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(42\/6*-1)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8987, -10614, -13327, -17126, -22011?\nAnswer: -27982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from zgwlwllgelggleel?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -174.5*-9\nAnswer: 1570.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4929 - -1.317. What is u rounded to three dps?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159032 and 105472.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 13*i + 4. Is 14 a factor of g(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 8) to base 11\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 13009.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m**2 - 3*m**2 - m**2)*(104 - 85 - 188) to c*m + h + g*m**2 and give g.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216099?\nAnswer: 31, 39229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, i: 3, b: 4}. What is prob of sequence bih?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-2*1)\/4). Let u be (l\/5)\/((-2)\/(-10)). Suppose 5*m + u = 52. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.2203?\nAnswer: 1.1015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12104 - 3915. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 147, 164, 199, 258, 347?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-24)\/(-3))\/(-19 + 17)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4164301.6 to the nearest 100000.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 74*d - 2. Let f(b) = -49*b + 1. Let k(g) = 8*f(g) + 5*x(g). What is the derivative of k(h) wrt h?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11940 by -6.\nAnswer: -1990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26732)\/(-4890)*135\/(-18)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 37*b - 37. Let y be f(1). Let h(k) be the second derivative of 1\/2*k**3 + y - 11*k + 0*k**2. Let x(n) = -3*n. What is h(x(j))?\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/12)\/(7282\/15888)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -54923359 < -54923360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 113779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -16 + 12 + 6*h + h**2 - 7*h. Calculate y(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 2:39 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -15*x**2 + 6*x**2 + 10*x**2 + 7 - 5*x + 3*x. What are the prime factors of o(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4760691 to the power of 1\/2, to the nearest integer?\nAnswer: 2182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2)\/(((-84)\/30)\/(-7)). Put -2, -23, g in decreasing order.\nAnswer: -2, g, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 3:23 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666416 is divided by 1325?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*o + 16 = 0, 4*o = 5*t + 10 + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r**5\/5 + 1548*r**4\/5 + 12093*r**3 + 855778*r**2\/5 + 3959232*r\/5 + 59904 = 0.\nAnswer: -48, -13, -10, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (96\/80)\/(4\/(-10)). Let u = 2 - -3. Sort c, u, 2 in ascending order.\nAnswer: c, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s - 4. Let u(x) be the first derivative of x + 3135. What is -b(y) - 6*u(y)?\nAnswer: 7*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/sqrt(1008))\/(sqrt(36)\/(sqrt(18)\/sqrt(2) + sqrt(9)) - -2*sqrt(324)) + 4.\nAnswer: sqrt(13)\/222 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 15*c**2 + 156*c - 6. Let z be r(7). Solve b - 4*b = 3*l + 6, 4*l - 2*b = -z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*m = 31, 32 = 2*z - 132*m + 130*m. Calculate the remainder when 220 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1609711 * 0.4.\nAnswer: 643884.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.5 to 0 decimal places.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*0\/(20\/(-4)). Solve o*g - g + 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(2\/13)*z**(-6\/5)*z\/z**7*z*z**(1\/10))**(-25) assuming z is positive.\nAnswer: z**(2765\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-34) + (-653377)\/(-220677).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a - 5. Let w be 5 + a + (-4 - 0\/(-3)). Solve -4*r + w*r = -16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 24, 48, 72, 96, 120?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {j: 11, i: 4, m: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -785, -1318, -1851, -2384, -2917?\n\"Answer: -533*u - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.93 to the nearest integer.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 5. Let o(g) = -g**3 - 27*g**2 - g - 21. Calculate the least common multiple of o(-27) and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1570*h**3 - 774*h**3 - 794*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, r: 1, p: 2, m: 1}. Give prob of sequence hr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -9*p + 4*p. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 6*y - 2. Let t be b(-6). Let s be 4*(t - 63\/(-30)). Suppose 2*r + 12 = -5*c, -r + 7*c + 9 = 2*c. Is r less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 3. Let h = -19 + 24. Let g(m) = -m + 4. Let z(b) = h*o(b) - 4*g(b). Let x(p) = -p**3 - 3*p**2 - 2*p + 2. Let c be x(-2). Give z(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -o, 38*g - 5 = 37*g - 3*o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45233136?\nAnswer: 2, 3, 13, 73, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -7*s + 5*r, 0 = -s + 5*r + 1084 - 1002 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -835c11 (base 15) to base 16\nAnswer: -5f5042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1497.9 - -1579. Let l = 81 - m. Is 8\/5 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 457242 and 0.0463.\nAnswer: 21170.3046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - 15) + -28 - (2 + -6 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 14570000 to the nearest one hundred thousand.\nAnswer: 14600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 1. Suppose 5*u = s + 26 + 9, 28 = 4*u + s. Suppose 3*i - 1 + u = 0. Let x be a(i). Solve 0 = -4*h + d - 2, 4*h = 3*d - x - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3416 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/6 + 125*i**3 + 374*i**2 - 2797*i. Factor t(z).\nAnswer: 2*(z + 1)*(z + 374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6030262 and 179804?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 45*u + 376. Let b be v(-7). Solve 0 = 350*w - 356*w + b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 4:49 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30637798?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 2:30 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - i**5 + 0 + (3*i**4 + 12*i**4 - 5*i**4)*(-i - 6*i + 0*i))*(0 + 1 + 0).\nAnswer: -71*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**5\/10 + o**4\/2 - o**3 + o**2 + 3*o + 1. Let q(w) be the first derivative of g(w). Solve q(u) = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -6. Let l be (-3)\/1 + 9\/m. Which is greater: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.097, 5, 1, 2\/7?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikggia. Give prob of sequence kg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*j - 30. Suppose 23*w + 196*i = 195*i + 404, -137 = -5*w - 4*i. Calculate the remainder when w is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41259 and 1058172.\nAnswer: 17988924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37091 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 251946, 251947, 251948?\n\"Answer: n + 251945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 1176*w**2 - 4716*w - 3. Let l be q(4). Suppose -2*j - 1 = -5. Solve j*s = -4*r + 5*s - l, -2*s = 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 12 - -10 - (-1 - -10).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Let c = -7 + 5. Put r, -4, c in ascending order.\nAnswer: -4, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 249042610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/1885 and 101\/130?\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*w + 240*w + 111 = 0. Let y(v) = 7*v**3 - 3*v**2 + 2*v + 2. Let m(i) = 8*i**3 - 4*i**2 + 2*i + 2. What is w*m(k) + 4*y(k)?\nAnswer: 4*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4\/(-4)*1\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15512*f**2 - 7916*f**2 - 8454*f**2 to the form s*f + r + w*f**2 and give w.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.7097851 to 2 decimal places.\nAnswer: 10.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4720 and 223260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1335*l**2*n - 724*l*n - 1666454*n with respect to l.\nAnswer: 2670*l*n - 724*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1098427, 1098433, 1098439, 1098445, 1098451, 1098457?\nAnswer: 1098463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73\/210 - -1\/21. Let l be 5\/((-45)\/24)*24. Let q = 48 + l. What is the common denominator of q and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -385 divided by -77\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2. Let v(r) be the third derivative of 1\/24*r**4 - 1\/6*r**3 - r**2 + 0 + 27*r. What is v(l(h))?\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51 * 0.4.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32035909.\nAnswer: 32035909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*j. Suppose 6*r + 5*r - r = j. Solve r*n + 5 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1530*14\nAnswer: 21420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 137)\/((-1)\/(-2)). What is the common denominator of h\/12 + 2 + -1 and -50\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255355567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 4*n - 2. Let v be d(-4). Suppose 3*r = 5*y - 27, -39 = -2*r - 37. What is the least common multiple of (-12)\/(v - 1)*y and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -29.5.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z - 10. Let c be o(5). Solve -2*s + 10 = x - 0*s, c = 5*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58334 and 46134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from lflkkkyflllf?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, j: 15}. Give prob of picking 2 z.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 5\/4*c**4 + 6*c - 243\/2*c**2 + 1\/20*c**5 + 9\/2*c**3 - 4. Factor y(r).\nAnswer: (r - 3)*(r + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 2*p**2 + p. Let d(g) = 9*g**3 + 144*g**2 + 72*g. Give -360*b(f) + 5*d(f).\nAnswer: -315*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1080 and 1940785301?\nAnswer: 1940786381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 12 + -1 + -2 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32610 - -150568. Let c = a + -172928. What is c rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 12. Solve -z*k + 11 = -1, 0 = -2*x + 3*k - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -11473532?\nAnswer: 4589412.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/1*2754\/(-324)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 3. Let p be b(-3). Suppose -85 = -n + 5*g, -2*g + 190 - 20 = 3*n. Let d = n - p. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 4. Let f be v(0). Suppose 7*n = f*n + 18. Suppose 0 = 5*y - 3*y - n. What is the third biggest value in -0.4, y, 1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 95089660, 95089659, 95089658, 95089657?\n\"Answer: -m + 95089661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*2*140\/(-28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(((-12)\/6)\/(-178)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18529 = 161*i + 12089 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - 5*sqrt(153))**2 - sqrt(119)\/sqrt(112))*2.\nAnswer: -sqrt(17)\/2 + 6664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2. Let o(l) = -103152547*l. Calculate a(o(s)).\nAnswer: 10640447952587209*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 160\/72)*9. Let c(t) be the second derivative of t**3\/6 + 5*t**2\/2 + t. What is the units digit of c(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054763873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37, -77, -117, -157, -197, -237?\n\"Answer: -40*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -764*j**2 - 3383*j**2 - 1944*j**2.\nAnswer: -6091*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-16)\/(-11)*(-6)\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 + 4 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/7 - 4600*d\/7 - 149622\/7 = 0.\nAnswer: -2267, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5476271?\nAnswer: 2029, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:29 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 8:33 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 561.5 - 562. Is r equal to 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2565 = -69*y + 159*y + 81*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62439 + 62450. Let v be 3\/4*1\/(-3). Which is the biggest value? (a) v (b) q (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2018300 to the nearest ten thousand.\nAnswer: 2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/((-12720)\/(-990) - (-1 + 13\/11)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 784 + 96 = 5*y + 5*v, 3*y - 528 = -5*v. Factor -y + 82 + 62 + 360*p**2 + 700*p**3 - 48*p.\nAnswer: 4*(5*p + 2)**2*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t + 2080 = -y, 2*t + 2*y + 832 = 0. Let f = 22 - t. List the prime factors of f.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(28))**2 - (-2*sqrt(567))**2) + -1 - (6*sqrt(63) + 5)**2*3.\nAnswer: -9204 - 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (18 - -4) - 11) + -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 791 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 252 (b) -0.2 (c) -4 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -18*n**2 + 0*n + 0*n**3 + 0*n**4 + 0 + 1\/60*n**5. Let v(h) = 12*h**2. Give q(v(a)).\nAnswer: 144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 + f**2 + 2. Let v(b) = -b**3 - 5*b**2 - 2*b + 5. What is the smallest common multiple of v(-5) and d(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/10 + -2 - (-4)\/10. Suppose -42 = l*k - 102. List the prime factors of -3 + 440\/k - (-2)\/6.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*y - 34, -2*y + 4*p - p + 1 = 0. Suppose -8 = -q + 3*i - y*i, 16 = -3*q - 5*i. Is -2 - 2\/(-2) - q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2569)\/(-597) + (-3419)\/789. Suppose -5*m + 2*o = -2*o - 25, 4*o = -20. Which is smaller: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232 and 696?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + p - 2. Let o(y) = 3*y**2 + 2*y - 2. Let v = 57 - 54. Give v*o(u) - 4*h(u).\nAnswer: -3*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/10*28\/(-3). Let l be (-126)\/(5 - -1)*(-48)\/v. Let p be (-12)\/(-2)*(3 + 1). Calculate the highest common factor of p and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2017476788 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*y + 11, 2*a + 2*a = -y + 33. Suppose -3*r - g + 22 = 0, a = -3*g - 8. Suppose r*j - 2*j - 525 = 0. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 612*r - 215. What is the hundreds digit of x(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -27847*d - 3109. Is j(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-150)\/(-525) + -4 + 209570\/35 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172260 divided by 1980?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 54\/5 of a minute?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -0.5, 1, 0.06 in descending order.\nAnswer: 1, 0.06, -0.5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/5*v**3 + 52\/5*v**2 - 676\/5*v = 0. What is v?\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -16. Suppose -r + 57 = -4*l + o, -4*l - 148 = -4*r. Calculate the highest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 7*v + 1. Suppose 0*d - 4 = -d. Suppose -m + 25 = d*m. Determine j(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2 = -10. Let b(v) = -v**3 - 7*v**2 + 6. Let x be b(-7). Let j = x - l. Solve -3*d + 3*a - 1 = -j, -5 = 3*d - a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -17. Suppose 0 = -3*n - t, -5*g - 3*n = 2*n - 60. Let a(b) = -3*b + 1. Calculate the least common multiple of a(-3) and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - -3. What is the greatest common divisor of 130 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*2\/(-20))\/((-1529)\/695)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 221831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 n when four letters picked without replacement from nnyrysnnsnrr?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -97*a**7\/210 + 71*a**4\/24 + 2*a**2 + 44. Find the second derivative of g(s) wrt s.\nAnswer: -1164*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**4 - 49*b**2 - b**3 + 5*b**4 + 42*b**2 as d*b**4 + v + q*b**2 + j*b + z*b**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 1:57 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110448 and 416?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9234 - -17779. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/5)*q)\/(q\/q**14) assuming q is positive.\nAnswer: q**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:26 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 145194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-50)\/125)\/(8\/3295)*8. Let q = i + 2975. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 473*m**3 - 6*m**2 - 6*m. Let t(b) = -472*b**3 + 7*b**2 + 7*b. Determine -7*n(l) - 6*t(l).\nAnswer: -479*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 6*u**2 - 6*u - 4. Let g be s(7). Let k(l) = 11*l - 12. What are the prime factors of k(g)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/3)\/(-1) - -14. Suppose -31 + j = -4*y. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i + 33. Let k be w(15). Let b be -336 + 0 + (k - -10). Let q = -108 - b. Round q to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 71*v + 3. Suppose 5*b - 12 = 4*j, -j + 3*b + 7 - 17 = 0. Is u(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1066*b - 119396. Calculate n(112).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-1 - -1 - (-5)\/85). Let f = x + -23. Suppose 5 = -2*b + f. Solve 3*q - 7*q = 2*t - 18, 5*t = 2*q - b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 396116598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2*0)\/(-1). Let r = 10 - 13. Let o = 0 + 0. Which is the closest to o? (a) y (b) 2\/13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(684) + sqrt(684))**2 + ((sqrt(19) - ((2*sqrt(19) - sqrt(19)) + 3))**2 - sqrt(19)) + 2.\nAnswer: -sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**5 + 4*l**3 + 5*l**2 - 4. Let j(k) = 56 + 4*k**3 - 5*k**3 - 55. Let g(p) = -4*j(p) - u(p). What is the third derivative of g(h) wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/158877 and -30\/6549263.\nAnswer: 58943367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 2 - 3*n + 4*n)*(-n + 0*n + 3*n)*(2*n + 3*n - 3*n) in the form k + a*n**3 + x*n**2 + l*n and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*o**2)*(-147 + 72 + 5126*o**2 + 75).\nAnswer: -15378*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcfx when four letters picked without replacement from ccccccxfxfxccxcx.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/12*2*(-27)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 70 = -11*t - 196, 34 = 2*m - 4*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -26*z - 104 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64662?\nAnswer: 2, 3, 13, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40, 34, 26, 16?\n\"Answer: -o**2 - 3*o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 958, 3624, 8068, 14290?\nAnswer: 22290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*z\/(z*z**(1\/12))*(z**2)**(24\/5) assuming z is positive.\nAnswer: z**(931\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338*f**3\/17 + 3559036*f**2\/17 - 1095112*f\/17 + 84240\/17.\nAnswer: 2*(f + 10530)*(13*f - 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1392)\/(-56) + (-1)\/(-7). Suppose -3*p = 8 + r. Is 11 a factor of (8\/4 + -3)*p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1328, 66\/41, -0.1?\nAnswer: 1328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3024, 6856, 10688, 14520, 18352, 22184?\n\"Answer: 3832*v - 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 39290\nAnswer: -550060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -84 - 12?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - 5*k)*(7 - 5 + 0 - 5*k**2).\nAnswer: 10*k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18.9 + -211484714\nAnswer: -211484732.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*s**4 - 1 + (0*s**4 + 0*s**4 + 2*s**4)*(1 + 1 - 3)*(3 + 8 - 6) as p*s**4 + g*s**3 + v*s**2 + c + k*s and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4687*y + 5651?\nAnswer: -4687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-16)*6*(-152)\/(-133)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 88 in 4, 0.6, 9, 0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12648 - 12583. Solve -281 = a*v + 44 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 4*h**2 + 8*h - 12. Let v be g(5). Let w(i) = -3*i**2 + 8*i - 3. Let b be w(v). Sort b, 0, -1 in ascending order.\nAnswer: b, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4*(13 + -5). Let w = -12 + 15. Suppose -n = w*n - 8. Solve -o*v = -n*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 462\/23 or 227?\nAnswer: 462\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348, 1412, 3186, 5670, 8864?\nAnswer: 12768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0*w - 1\/60*w**5 - w**2 + 0 + 0*w**4 + 2\/3*w**3. Differentiate u(z) with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1153, 2271, 3339, 4351, 5301, 6183?\nAnswer: 6991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 8, g: 5, z: 2, c: 2, y: 2}. What is prob of sequence gg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffk when three letters picked without replacement from fjekkksfk?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31485\/7 not equal to -107\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 411, 1\/4, 15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) -3 (c) 72\/13 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1523\/99 + -168\/11. Let h(k) be the first derivative of -3 + 0*k + 0*k**2 + a*k**3. Factor h(c).\nAnswer: c**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 9*m - 6. Let f be 1*(-10 - (-6 - -3)). Let o be c(f). Let w(v) = v - 12. Give w(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 + 1914. What is the highest common divisor of 90 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 270540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((2 + sqrt(17))*4 + sqrt(17) - sqrt(17)))**2 + sqrt(17) + (1*sqrt(1377))**2 + (2*(sqrt(68) - -3*sqrt(68)) - sqrt(68))\/sqrt(4).\nAnswer: 56*sqrt(17) + 1594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 4 (c) 0 (d) 17074 (e) 69 (f) 4\/5 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 33075771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 3)*(3*m**3 - m**3 - m**3) + 0*m**3 - 2*m**3 + 3*m**3 - 3*m**3 + 2*m**3 + 1119 - 1124 to the form k*m + l*m**3 + t*m**2 + s and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 516902?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 103972 to the nearest one thousand.\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -698*-373538\nAnswer: 260729524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-12)\/(-2) - (7 + -7). What is the closest to -0.2 in 0.3, n, 16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109520845 by -14915.\nAnswer: 7343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 720?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 877310 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 433821 and 451779.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -21 - (-1 - 12\/15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 10) in base 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 8:56 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 7:49 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3380)\/2925*20\/16.\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224951814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41.7 + -2.4. Let l = 0.75 - 33.75. Let y = l + p. Round y to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 147570 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 6*v**2 - 3*v - 2. Let h(y) = 4*y**3 + 19*y**2 - 10*y - 6. Let q(x) = -2*h(x) + 7*l(x). Let o be q(4). Is 9 a factor of ((-20)\/o)\/((-3)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1176 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/521 or -1?\nAnswer: 14\/521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.386, -11\/3, -1, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 3*l + 1. Let d be r(2). Let c(a) = -a - 1 + 2*a + d. Calculate c(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from vvvvvevvvvvev?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1098, 1878, 2352, 2520, 2382?\nAnswer: 1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 3) + ((-1)\/(-9) - (-43 - 90126\/(-1944))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.3 - -7. Suppose 74 = -44*m - 14. Which is the second biggest value? (a) h (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 889\/3 - 42\/(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/3014000 and 37\/66000.\nAnswer: 9042000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 + g**2\/2 - 3*g\/4.\nAnswer: g*(g - 1)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 - 130*p**3 - 19*p**2 - 2*p + 48*p**2 - 14*p**2.\nAnswer: -130*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 18 = 5*n - 7, 5*n - 20 = 0. What is the least common multiple of 2 and (-17 + w)*(-3)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/28 - 19\/(-4). Suppose 12 = u*p - 88. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 433?\nAnswer: 42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -62*(-3)\/6 + 2. Suppose -d = -g + 29. Suppose 5*k = 5*w - 90, -3*k - 12 = -0*w - w. What is the remainder when g is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + l + l**2)*(0*l + 0*l + l) + 0*l**3 + l**3 + 0*l**3 + 1 + 5*l**3 - 1 to z + s*l**3 + v*l + r*l**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 38.3711.\nAnswer: 37.8711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1283 + 1287 + -7 + (-2 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brb when three letters picked without replacement from bbbrrbbbrbrrbbbb?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 17*l - 28. Let h be x(10). Suppose -5*s + 4*s = 3*y + 15, -3*s = h*y + 17. Which is the closest to -4? (a) 9 (b) -1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224349862 and 309.\nAnswer: 673049586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*u + 68609, -4*s - u - 55737 = -330217. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 178 - 10. Suppose 16*c - 13*c - 246 = 0. What is the remainder when c is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 1134 = 2245 - 1139 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a + a - 3*a + (-1 - 1 + 0)*(-3*a + 5*a - 3*a) + a + 0 + 0 + 3*a + 0 + 0 + 57*a - 154*a + 39*a + 64*a + 309 in the form z + t*a and give z.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - l = 2*f + 4, -2*f + 4*l = -2. Let g be 21 + f*3\/(-3). Suppose o - 8 = -n - 3, -g = -n + 4*o. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 918555, 1837046, 2755537, 3674028, 4592519?\n\"Answer: 918491*p + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 32\/20*(-1)\/(10\/(-25))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 - 2*a + 12. Let z(f) = -15*f**2 + 5*f - 24. Let b(k) = -5*y(k) - 2*z(k). Differentiate b(q) with respect to q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*v + 266 - 154 - 1979 = 111 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, 5, -183, -5 in descending order.\nAnswer: 5, -4, -5, -16, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305.9 + -290. Let h = o + -14.9. What is the second smallest value in -5, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/63480 and 67\/665.\nAnswer: 8442840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2) + -6 + 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107804 is divided by 1086.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 61. Let d = 20 + -10. Calculate the lowest common multiple of d and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7042823581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4198*n**3 - 8315*n**3 + 4150*n**3 + 14*n.\nAnswer: 33*n**3 + 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - g - 1. Let m(x) be the first derivative of -4*x**3\/3 + x**2\/2 + x + 174. What is 6*i(h) + 5*m(h)?\nAnswer: -2*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(10) + sqrt(40)) - 5*(sqrt(475))**2) + sqrt(114)\/(sqrt(486) - sqrt(6))*4.\nAnswer: -2375 + 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268702906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = 2*x, m - 5*x - 19 = -m. Let l(g) = 3*g. Let p(c) = -7*c + 14. Let j be p(2). Let a be l(j). Sort -4, m, a in decreasing order.\nAnswer: m, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, 3\/5, 11, 0.3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffjfjfzrfrffjjfffr. What is prob of picking 4 j?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + l**4 + 0 + l**3 - l**4 - l**3 + (l - l + 2*l**3)*(2*l + l - l) + 3*l**4 - 8*l**4 - 4*l**4)*(43*l - 1 - 36*l - 6).\nAnswer: -35*l**5 + 35*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62472 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 10:28 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 235 + 365. Suppose y = 13*h - 9*h. Calculate the highest common factor of 25 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, z: 3}. What is prob of picking 3 x and 1 z?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-8) + (-1)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89680)\/(-197600) + ((-2)\/8)\/(13\/8).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/13 - 37\/(12025\/(-4500)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33133 is divided by 235.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*d + 4 = 90*d. Let v(q) = 3*q - 2. Let n be v(-2). Suppose 0 = 5*a + 5*i + 25, 6*a + 4*i + 19 = 3*a. Sort n, d, a in ascending order.\nAnswer: n, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**3 + 5*q**2 + q + 5. Let d(u) = -3*u**3 - 2*u**2 - 2. What is -5*d(h) - 2*f(h)?\nAnswer: h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2\/(-10)*(-50)\/(-3)*9948\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**12*i*i\/i**(-4\/15) assuming i is positive.\nAnswer: i**(-131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lloddddoolldodlldddd. What is prob of picking 1 d and 1 o?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**4 + 10166*i + 275238 wrt i.\nAnswer: -4*i**3 + 10166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44392 divided by -8166?\nAnswer: -22196\/4083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.4 - 4. Let z = f + 2.6. What is the third smallest value in 2\/9, z, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 14 = -3*n + 7*n, -2 = n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 290859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269449*p*w - 1972073*w wrt p.\nAnswer: -269449*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600557 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(133)*-5)\/((sqrt(343) - (sqrt(343) - 1*sqrt(343))) + sqrt(7) + sqrt(112)*2)*-4.\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 972 = 2*z - t + 323, 2*z + 3*t - 653 = 0. What is the remainder when z is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 20*v**2 - 2. Let k(w) = 5*w**3 + 101*w**2 + 11. Let o(c) = 11*i(c) + 2*k(c). What is the third derivative of o(j) wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10132694 greater than or equal to -10132694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33606, -33799, -33992, -34185, -34378, -34571?\n\"Answer: -193*x - 33413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25178.6 - -25179. Suppose 4*j + 0*j + 20 = 0. What is the third smallest value in 0.13, f, j, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -882, -2764, -7862, -17784, -34138, -58532, -92574?\nAnswer: -137872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u + 1. Let j(o) = 13*o - o**3 - 10*o**2 + 5*o - 12*o. Let z(i) = -j(i) - 4*m(i). What is z(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1321896 and 3?\nAnswer: 1321896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3832375*c**3 - c**2 - 235916*c + 1?\nAnswer: 22994250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6654*g*i + 2*g*k**3*p**2 + 3*g*k*p - 33*g*p**2 - 4*g*p - 10436*i**2*p**2 + 2*i**2*p + 3*i*k**3*p wrt p?\nAnswer: 4*g*k**3 - 66*g - 20872*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315 + 23*w + 319 - 634 + 52*w.\nAnswer: 75*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 13, 5, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30\/133 - -11013\/1064. Calculate the common denominator of 2\/((-7)\/((-77)\/(-3))) and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y**3 - 5. Let c(h) be the third derivative of 0*h**5 - 1\/120*h**6 + 0 - 14*h**2 + 0*h + 1\/6*h**3 + 0*h**4. What is -5*c(g) - z(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9617*d**2 - 6054*d - 1 wrt d?\nAnswer: 19234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1874*p + 7502. What is h(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 119 in ascending order.\nAnswer: -6, -4, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*a, -a = -g - 3*g. Let m = 60420\/49 + -1233. Which is smaller: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1292 + -0.0008. Which is the second biggest value? (a) 5 (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trrktrrrrrkkrrikrrko. What is prob of picking 3 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -60*c - 35. Let d(f) = 8*f - 9. Suppose 8*q = 14*q + 18. Let g(l) = -l + 4. Let b(k) = q*g(k) - d(k). Determine -35*b(r) + 3*p(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1389*h - 446054. Determine y(-321).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1557, -1552, -1545, -1536, -1525, -1512, -1497?\nAnswer: -1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 17. Let t = 52 - 9. Suppose -t = -6*n + x. What is the highest common divisor of 60 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -77*n. Let q(r) = -6*r. Calculate -5*k(l) + 66*q(l).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112) - 2*sqrt(2112))\/(sqrt(12)*2).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/10 and 107\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 47\/9 - 2\/9. Let u(v) = -4*v - g*v**2 - v**3 - 1 - v**3 + v**3. Give u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(((w*w**(-4\/11)*w)\/w)\/w)\/w)\/w**(-26))\/(w**33*w*w*w*w*w**6\/w) assuming w is positive.\nAnswer: w**(-180\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.38 in 0.19, 5, -7\/2, 0.4, -3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-91 - 70) - 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7149 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002711630178 to five decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((672\/(-70))\/8)\/(2 - 1104448\/552220) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/31, -1, 68?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 38399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - 1800. Suppose -11*g + q = -7*g. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 7363\/3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -9*p + 246. Let c be y(29). Let v = c - -829. List the prime factors of v.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(720) + 1*sqrt(720) + sqrt(5) + (1*sqrt(60))\/sqrt(12) + sqrt(5) + sqrt(5) - (sqrt(5) + sqrt(5)*2 + -1 + 5)) + -1) + -3)**2.\nAnswer: -5500*sqrt(5) + 78609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 16.44816 months?\nAnswer: 0.0137068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(114) + (sqrt(114) - sqrt(114)*-1)))\/sqrt(2))\/(-2*5*sqrt(300) + sqrt(300)).\nAnswer: -sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*t + 2*t**2 + 2*t**2 - 84*t + 6*t**2 in the form s + o*t + a*t**2 and give o.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484251.\nAnswer: 67, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1782)*2)\/(-4*sqrt(33)\/sqrt(3))*-5.\nAnswer: 45*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-1 - -4)) + -17 + 16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) - (-88)\/(-6). Suppose -35*p = -48*p - 208. Is p >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -5*(-7)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.051422 + -0.0521. What is r rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 - -10 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 11:06 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8552, -17104, -25656, -34208?\n\"Answer: -8552*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -20209 and -69 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 8 (c) -3 (d) -13\/50 (e) 2\/43 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132432 divided by -89?\nAnswer: -1488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 862 + 66303?\nAnswer: 67265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -150, 11, 4 in descending order.\nAnswer: 11, 5, 4, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/575 and -31\/207.\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.27 - -4.61. Let u = 1.56 + y. Which is the nearest to 4? (a) 2 (b) 5 (c) -3\/7 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y. Let l(b) = -41*b**2 - b. What is l(i(s))?\nAnswer: -369*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 156 = -1414. Suppose 13*f - 2*f = -2376. Let h = x + f. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 38*h + 840. Let j be b(-22). Solve -j*m - 12 = -13*k + 12*k, -3*m - 5*k = 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1393545, 1393596, 1393683, 1393806, 1393965?\n\"Answer: 18*g**2 - 3*g + 1393530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y + 3*y)*(33 + 22 - 18).\nAnswer: 111*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*j**5*k**3 + 2969*j**5 + 99129*j**2*k**2 - 2*j**2*k + j*k**3 wrt j?\nAnswer: 3060*j**2*k**3 + 178140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56440472*s**4 + 57149688*s**2 wrt s?\nAnswer: 1354571328*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -77*l - 694. What is h(-8)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000346036 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14097 + -5994. Suppose -15*d + t = -5847. Let c = d - 3623\/4. Calculate the common denominator of c and 71\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 12:42 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 10 = 3*w - 2*v, 4*v + 18 = 2*w. Let i be 13\/4 + (-18)\/(-24). Solve -w*p - 10 = s - 4*p, p + i = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 6, -11.\nAnswer: -11, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w - 27*w = -45*w - 504. Solve -88 = w*n + 92 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lccllcccfclafcafcc.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 7) + 25 + 4 + -76 + 38\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 43331?\nAnswer: 43322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-3 - -8) + -6 + (-29 - -17 - -13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(19\/3))**(-44)*g*g**(-18\/5)\/g*g**(2\/27) assuming g is positive.\nAnswer: g**(-38096\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 258*d - 4130. Give a(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1351749, -2703505, -4055261?\n\"Answer: -1351756*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 16)*(-643 - 656 + 1306 + 3*j) in the form t*j + y and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 18 = -2. Let v be (-1)\/2 - (-4)\/y. Let w = v - -2. Is w at most -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*t = -11, 5*t = -35*h + 30*h + 40. What is the second biggest value in -287, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.7 + -17. Let p = -0.4 + f. Let o = -2 + 0. Which is the biggest value? (a) p (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 0, 0*z - 132 = -z + i. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 2*n - 215 = -224, -3*n = 2*t - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938233?\nAnswer: 11, 23, 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 12. Let y be j(3). Sort 18, 1, -3, y in descending order.\nAnswer: 18, 1, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41766 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24943108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12065, 12060, 12053, 12044, 12033, 12020?\n\"Answer: -l**2 - 2*l + 12068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7068 is divided by 1028.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66508998 rounded to 4 dps?\nAnswer: 0.6651","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/29))\/(j**(-2\/3)*j)*j**4*j\/j**(-2\/15)*(((j**(2\/3)\/j)\/j)\/(j\/(j\/(j**9\/j)*j)*j*j*j))\/(j**(2\/7))**38 assuming j is positive.\nAnswer: j**(-49699\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.32 and -14.84.\nAnswer: -15.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*49\/14 - (8 - (-88)\/(-56)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 85*f + 330. Let n be g(-41). Calculate the highest common factor of 460 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88777817.\nAnswer: 88777817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35564124 and 3078.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -1\/27*r**4 + 0 - 19*r**2 + 1\/90*r**5 + 0*r - 4\/27*r**3 + 1\/945*r**7 + 1\/135*r**6. Let c(m) = 0. What is m?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*i = -16, 2*i - 2 = -2*s - 12. Let k be 79 - (2 - -1)\/s. Let b = 363 + k. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 114*m**2 + 2*m. Let p be n(-1). Let w = 181 + p. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -88414.\nAnswer: 8\/44207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4759424 is divided by 225?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 26826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*z - z = 6, -l - 4*z - 13 = 0. Let j = 5 - l. Calculate the lowest common multiple of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -415b (base 12) in base 10?\nAnswer: -7127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56936203 rounded to the nearest one million?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 32*z - 19 = 0. Let f = 22 - z. Suppose -f*a + 89 = 2*c, -2*c - 19 = -2*a - 93. Calculate the greatest common factor of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*((-4)\/12)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 0, 6*d - 4*y = 3*d - 6. Let j be 334604*(-6)\/(-6) + d + -2. Round j to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17841, 34707, 51559, 68391, 85197, 101971, 118707?\n\"Answer: -f**3 - f**2 + 16876*f + 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(2\/31)))\/k**(-1))**29\/(k**(-2)\/(k\/k**(-4))*k**(5\/2)*k*k*k**(-1\/6)*k) assuming k is positive.\nAnswer: k**(2678\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11*t - 81. Determine z(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 541460045 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -127*r + 2. Let h(x) = -127*x + 3. Let q(p) = -5*h(p) + 4*w(p). Is q(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122048 and 88336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:11 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 15*j**2 + 14*j + 13. Let w be g(14). Calculate the greatest common divisor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1445*b**3 - 401*b**2 - 257241126.\nAnswer: -4335*b**2 - 802*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -5, 6, 0.4 in ascending order.\nAnswer: -5, -2\/11, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 13*k + 26. Let o = k + -42. Let r = -26 - o. Solve r*z - h = -4*h - 6, -17 = 3*z - 4*h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*m**2*u**4 + m**2*u - 34*m*u**2 + u**4 - 2*u**3 wrt u?\nAnswer: -768*m**2*u + 24*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9119846.\nAnswer: 2, 433, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 10*v - 11. Let d be m(8). Find the third derivative of -4*y**2 + 8*y - 8*y - 4*y**d wrt y.\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5434394 (base 11) in base 9?\nAnswer: 18867444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -535711 and -0.5.\nAnswer: 267855.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - b**2 - 3. Let r be y(0). Let w be r\/((3\/12)\/1). Let z be (w\/(-12))\/(-7*1\/4). What is the third smallest value in 3\/8, z, 5, 0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16 - 8) + -7)*23 - 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3774*v**2 - 699*v - 698. Does 2 divide p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 236 = 3*n. Let p = 38 + n. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**12*t)**(-45)\/(t**(1\/38)*t*t**(1\/25)) assuming t is positive.\nAnswer: t**(-556763\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*c = -0*f - 13, -2*f - c = -7. Suppose 4*o + f*k - 83 = 7*k, 5*k - 93 = -4*o. Calculate the greatest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1719 - -0.0932. Let w = p + 0.069. Round w to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 44 = -11*l. Let q = 25 + 9. Let z = q - 14. Calculate the remainder when z is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Let s be w*3\/12*4. Suppose -51 - 21 = -s*d. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*s - 11*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/1 - 24\/(-4). Suppose g - 3*t - 41 = 0, q*g - 2*t - 140 = 3*g. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 42 = 9*u - 4*c, -u = 2*c - 16. Solve 0 = -u*y - 8 + 18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13011120 + 321?\nAnswer: -13010133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*f + 19 = 0, 0 = -3*x + 2*f + 7 - 34. Let h = -5 - x. Let a be h\/(-3) + 44\/12. Solve -a = 4*j - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 525?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 8, 10, 2, -3, 4\/7, 34?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3313 is divided by 256.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/104)\/(((-12255)\/(-1118))\/57)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 10 = 3*h - 0, 5*h = -2*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*o**4 + 2*o + 2488 - 21*o - 2*o**2 - 18*o**3 - 2506 + 52*o**4 wrt o?\nAnswer: 2280*o - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2205.482ng?\nAnswer: 0.002205482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-3 - -6) + -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 63261\/(-13540) - 2\/4. Let t = 15\/677 + y. Find the common denominator of -99\/2 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkkkkkkpiipj. What is prob of picking 2 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 8. Let k be z(-6). Let r = -61 + 29. Let p = k - r. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**2 + 8*v**2 - 5*v**2 + 0*v**2 as y*v + l + k*v**2 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 1. Let y(v) = 18*v - 22. Let w(h) = 6*c(h) - y(h). List the prime factors of w(-6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1456786.\nAnswer: 2, 29, 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3473 is divided by 94.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1991.\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (7 + (-24 - 12)) - -102?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 21*i - 120. Calculate p(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 8*s**3 + 2*s**2 - 3 - 2*s**2 as b + k*s + o*s**2 + g*s**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 342 - 347. Which is the second biggest value? (a) -4 (b) x (c) -3 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378 = 2225*f - 2243*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 349*a**3*c**2 - 3*a**3*c - a**2*c**2 - 219*c wrt c.\nAnswer: 698*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/6)\/4*-15. Let d = g + -8. Sort 2, 1, d.\nAnswer: d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 p, and 2 q when four letters picked without replacement from {w: 4, q: 9, p: 3}?\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8750 - 8750 - 106*k + (1 - 1 - 1)*(0*k - 7*k - 2*k) to the form q + a*k and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/65, -0.1, 1\/2 in descending order.\nAnswer: 1\/2, -3\/65, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.8612 and -0.04.\nAnswer: -1.9012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13656835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 0.1, -8, -21, -2, -4 in descending order.\nAnswer: 5\/6, 0.1, -2, -4, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9)*-1)\/((-18)\/(-9))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t**8)*t)\/((t\/t**(4\/7))\/t))\/((t\/t**(1\/10)*t*t)\/(t*t**(-1\/2))) assuming t is positive.\nAnswer: t**(-274\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 4:26 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 175517\nAnswer: -2\/175517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6778594?\nAnswer: 2, 53, 63949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3817932 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -28*i - 25. Let q be y(-6). Let k(x) = 0 - 139*x + q*x + 1. Let w(n) = n. Let f = -2 + 1. Calculate f*k(r) + 6*w(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3344 + 1?\nAnswer: 3400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -27*v**2 - 280824*v. Let k(c) = -5*c. Determine k(h(n)).\nAnswer: 135*n**2 + 1404120*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4632070 + 1a?\nAnswer: 463208a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 1 + 0)\/(54\/675). Solve -3*s = -4*w - 2*s - 15, 0 = w + 4*s + o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 0*p**2 + 12 + 3*p + 9*p + p**2. Let s be m(-12). Solve -h - 2*h + s = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + 3)*4 + 1*(sqrt(1872) + 3))**2 - (((1*sqrt(637) - sqrt(637))*-3)**2 - (-6*(sqrt(130) + (sqrt(130) - sqrt(130)*-2)))\/sqrt(10)).\nAnswer: 1776*sqrt(13) + 47025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 - -101. Suppose -35 = -4*p + 381. Let c be 6\/(-4)*p\/(-12). Solve -2*u + r = c, 4*u + 4*r - 5 = -b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(104)\/(sqrt(56)\/sqrt(7)) - sqrt(13))**2 - (sqrt(13) + -2)*2) + 3.\nAnswer: -2*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 1491 + 87. List the prime factors of i.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -613, -2450, -5559, -9976, -15737, -22878?\nAnswer: -31435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77213.\nAnswer: 77213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) -1\/2 (c) 0.2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*n - 26, -n - 31 = -5*z - 2*n. Let v(r) = -r**2 - 3*r + 3. Let u be v(-3). Let g(l) = -z*l + u*l + l + 4*l. Let a(t) = 3*t. What is g(a(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -19*t - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*v**3 - 1269*g**3*v - g**2*v**3 + 4*g*v**3 + 197*g wrt g?\nAnswer: -12*g*v**3 - 7614*g*v - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -482 + i + 233 + 251. Let f(u) = 2*u + 3. What is 3*f(v) - 5*r(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.13 (b) -0.4 (c) -91 (d) 1\/23 (e) -3 (f) 1\/12 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 505980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 2, 321, 32, 1 in ascending order.\nAnswer: 1, 2, 4, 5, 32, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2359*w = 19994 + 218265 for w.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/(2\/28). Let t(y) = 12*y**2 - 9*y - 63. What is the hundreds digit of t(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3552 and 9324?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 14*p**2 - 315*p + 919. What is j(7)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20)*(-5)\/2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - 187*p - 1622. Determine r(-84).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*o**2*y**3 - 18958*o**2*y + 2*y**3 + 723*y**2 + 600*y wrt o?\nAnswer: -150*o*y**3 - 37916*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/22)\/(3\/(-1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 489107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/12661 and -31\/891?\nAnswer: 1025541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -9*z**6\/2 - 2789*z**4\/12 - 7*z + 76. What is the third derivative of a(s) wrt s?\nAnswer: -3240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1592 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249 - 234 - (1 + 57) - (-1 + -4).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -1 (b) -0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 2*k - 6. Does 4 divide y(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(704) + -1 + sqrt(704) - sqrt(704) - sqrt(704)) + 0) + 3 + 0 + 1*sqrt(704).\nAnswer: -3 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/358610 and -73\/64549800.\nAnswer: 64549800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = 2*t + 5*l, 2*t + 2*l = 10. Let p be (3\/(-9))\/(1\/t). Calculate the remainder when 23 is divided by -30*(12\/10)\/p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - t**2 + 2*t - 11. Determine m(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 27 - -41.157\nAnswer: 68.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d + 5*l = 23, 4*d - 2*l + 86 = 0. Let s = 26 + d. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18311 and 8?\nAnswer: 146488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b - 39. Let o be 14\/(-8) + 4320\/640. Calculate l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2 + 7*r**2 - r + r**3 - 4*r**2 - 1. What is the units digit of m(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92019255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 + -102.9. Which is the biggest value? (a) -1 (b) -0.06 (c) 2\/15 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/20 + s**4\/6 - s**2 + 6*s. Let u be b(2). Calculate the greatest common factor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 57)\/(3637 - 3636)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*p**2)*(1 + 2 - 5)*(-2 - 4 + 5)*(p**2 - p**2 - 2*p**2).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382, 398, 412, 424, 434?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 49*d**2 + 21*d + 21. Let b(m) = 5*m**2 + 2*m + 2. Determine 21*b(w) - 2*r(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-118)\/140 + (-50)\/(-250) and 75\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 30*j + 22. Let a be o(17). Let m = a - -48. Solve 0 = -f - m*z - 1, -4*f + 9*f - 4*z + 33 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16775, 16505, 16235, 15965?\nAnswer: 15695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(44) - (sqrt(176)\/sqrt(4)*-2 - sqrt(44))) + 4)**2 - ((3*sqrt(528))\/(sqrt(243) + sqrt(243)*2)*-1)**2.\nAnswer: 64*sqrt(11) + 58468\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304 divided by -7808.\nAnswer: -19\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.2 - -6.5. What is the third biggest value in 2, -1, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 2*z - 3. Suppose 4*d = s + 17, 12 = -s - 5*d + 40. Let b(m) = m**2 - 3*m + 2. Let p be b(s). Give c(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 6. Let a be (-32)\/(-1) + (2 - 4). Suppose -2*x - 14 - a = 0. Let n = -16 - x. Determine l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 84*p - 3. Let i(n) = 3*n. Determine j(i(d)).\nAnswer: 252*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2\/8)*(-2600)\/(-195)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-4)*((-3120)\/(-45))\/26?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**7\/12600 - w**6\/1800 - 7*w**5\/120 + w**4\/12 + 77*w**3\/6 + 145*w. Let t(f) be the third derivative of v(f). Factor t(y).\nAnswer: (y - 7)*(y + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302341.81 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1. Let g(y) = -14*y + 42. Let b(r) = -g(r) - 42*k(r). Let w(z) = z. Determine b(w(q)).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -22258\nAnswer: -7\/11129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2943 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -21. Let o be r\/27 + (-22)\/(-18). Suppose l - o - 5 = 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*s**3 - 41.\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.9241 and 14.7.\nAnswer: 57.68427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1607511*o**2 + 98221*o**2 + 2795593*o**2.\nAnswer: 4501325*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 154\/2 - (-4)\/(-2). Let s be (2\/(-3))\/(5\/d). Let m = s - -18. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 0 - 3 - 4*d + 4 + d**3. What is the units digit of i(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3862492738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5149 is divided by 206?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -298, 4, 227 in descending order.\nAnswer: 227, 4, 2, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.184 + -28.884. Let p = g - -25. What is p rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*l + 110*l - 1218. Is 88 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - 0 - -9)\/3. Solve -4*k - 5*i + 20 - p = 0, -5*i + 18 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -520 - -1440. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33 + (-48)\/(-15) + 3\/(-15). What is the common denominator of (((-3)\/m)\/(-1))\/(5\/(-9)) and -53\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4645 + -7512. Let b = h + 14824. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 0)*(-21)\/(-84). Which is bigger: i or 4\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + r**2 + 17 + 4 + 7.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nknnpknpnpk. What is prob of picking 3 k and 1 p?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(1*1\/(-3)). Let y = s - -19. Let n(m) = m**2 + 6*m - 8. List the prime factors of n(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 143 (c) -2.67 (d) -6.1 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004367348.\nAnswer: 2, 3, 27899093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55194 + -39401. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185 - 183. Let w(a) = 30*a + 8*a - 38*a + 3*a**m + 7*a**3 - 3. Let f(l) = -13*l**3 - 5*l**2 + 5. Calculate -3*f(s) - 5*w(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/8873 or 1?\nAnswer: -3\/8873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6497 divided by 22.\nAnswer: -6497\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -589, -585, -579, -571, -561, -549, -535?\n\"Answer: q**2 + q - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**44\/x*x)**36*(x**(-38))**(3\/4) assuming x is positive.\nAnswer: x**(3111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23305, 23304, 23303, 23302?\nAnswer: 23301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 40 = -w, -39*w = -34*w - 2*g + 31 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 - 334 = -5*o. Suppose o*j + 9 = 143*j. Solve 7*c = 10 - j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 13. Let o be n(-7). Suppose -3*p = -p - 2. List the prime factors of (o\/p)\/(3\/117).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 1890270975.\nAnswer: -1890270973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.4 + 30.3. Is 23 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*w = -396*w + 4452 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iub when three letters picked without replacement from gwgvubigbuugbugbww?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 312 + -219. Calculate the highest common factor of 31 and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109473.1 hours to milliseconds.\nAnswer: 394103160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460*x = -5*n + 462*x + 10, 5*n + 25 = -5*x. Factor 3\/7*c**3 + 0*c + 6\/7*c**2 + n.\nAnswer: 3*c**2*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-2247)\/(-3) - (1 + 2 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138528 and 55872?\nAnswer: 26874432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -27\/2*m**2 - 1\/6*m**3 + 0*m**4 + 0 - 1\/2*m**5 + 42*m. Differentiate r(z) wrt z.\nAnswer: -30*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/13400 and -9\/3350.\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(10\/3)*a**(-1\/6) assuming a is positive.\nAnswer: a**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3098 - -3093. Sort 2, -33, d.\nAnswer: -33, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -606 (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16573.85 grams in milligrams?\nAnswer: 16573850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -51. Is 7 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -953 - 186 = -111*h + 3301 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9153.236 - -9169. Let k = 0.164 - t. What is k rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2981395*p**2. Let m(c) = 7*c. Determine t(m(x)).\nAnswer: 146088355*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 + 4*s - 26. What is k(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7250, -7249, -7248, -7247, -7246?\nAnswer: -7245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**5\/60 + m**4\/3 - m**3\/3 + 13*m**2 - 4. Let b be (-38)\/(-6) + (-2)\/6. Is 6 a factor of s(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1088 - 1076. Let i(s) = s + 3. Give i(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65298 at least as big as 1\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 478 - b897?\nAnswer: -b41d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3746 = 1336. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 3*q**2 - 10*q. Let z be s(5). Let v(r) = -3*r + 2*r + z*r. Calculate v(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 q when four letters picked without replacement from pupqjqpuquupw?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61045859, -122091723, -183137587?\nAnswer: -244183451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 3*p**2 - p. Let b be y(3). Suppose -2*m = 16 - 2. Put 3, m, b in decreasing order.\nAnswer: 3, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(288)*-3*-5)**2.\nAnswer: 20995200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2709 and -97\/424716.\nAnswer: 383518548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8692\/736 + (-4 - -2). Let o = b - 56\/23. What is the common denominator of 99\/10 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {p: 4, t: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*s**3 + 113*s**3 - s**2 - 2 + 10*s - 13*s to x*s**2 + z*s + f*s**3 + q and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 87 (c) 0.36 (d) 168 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 114*d**4 + 746?\nAnswer: 456*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43603311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -36597*m - 301. Calculate y(0).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -36366?\nAnswer: 36343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -2\/386356463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39 or -584?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5, 5, -0.2.\nAnswer: -5, -1\/2, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -245?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (1 + 3) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2042 + 2041.9999992154. What is x rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 305, 502, 727, 980?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1687 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38 and 47.\nAnswer: -1786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 44*a**2 - 61*a - 35. Find the first derivative of c(h) wrt h.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2*v = -7*v + 241, -4*m + 0*m + 243*v - 248*v = -244 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/88*1551\/(-846).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - (-68)\/(-7))\/((-1)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -6. What is the remainder when (26\/(-2))\/(0 + -1) is divided by (-1)\/((-1)\/w) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -501 and -4.\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*c + 18*c + 363 = -597 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -1189.378?\nAnswer: -1205.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26 (b) 3\/7 (c) -1\/6 (d) 2\/9 (e) -4\/7 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -48*i + 60*i. Let z(u) = 1178008*u - 40. Let m be z(i). Round m to the nearest one hundred thousand.\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**7\/70 - 3*l**6\/40 - l**5\/20 + 3*l**4\/8 + 3*l**2 + 10. Factor z(s).\nAnswer: 3*s*(s - 3)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642*t - 4752 = 378*t for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + sqrt(2)*-1 + 1)**2)*4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 9*s**2 - 9*s + 10. Let j be g(8). Let h(u) = u + 55*u**2 - j + 2. Let o be h(1). Calculate the highest common divisor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) -2\/437 (c) 588 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 2)*(0*o**3 + 5*o**3 - 4*o**3) + (-o**2 + 2*o**2 + o**2)*(-5*o - 3*o - 25*o) in the form m*o + i + f*o**2 + z*o**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, b: 3, a: 10}. Give prob of sequence taa.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*q = 19*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464*x**3 + 930*x**3 + 24*x**2 - 465*x**3 - 35 + 11 - x = 0. What is x?\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 0)*5 + ((sqrt(147) - (sqrt(147) - (sqrt(147) + 1 + sqrt(147)))) + 5)**2 - ((sqrt(147) + 1)*2 + 3).\nAnswer: 189*sqrt(3) + 619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10466*x**3 - 3968*x**3 + 19332*x**3.\nAnswer: 25830*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368452156 = 12*z + 127058392. Let s = z + -34516147. Round s to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 5*g**2 - 3*g + 2. Let l be x(4). Let z(r) = 73*r**2 + 68*r - 1. Let y be z(-1). Solve -l - 10 = y*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((10 - -1) + (1 - (24 - 19)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -222, -38.\nAnswer: -222, -38, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19019 divided by -1.\nAnswer: 19019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20*2\/(-24)*2\/5\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 48 = -8*t + 91 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:11 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.331 - 0.169. Let i be ((-62)\/1085)\/((-2)\/40). Sort 5, d, 2\/13, i in descending order.\nAnswer: 5, i, 2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-7)\/(-5))*(-20)\/50?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.26 + -53.34. Let f = 63.6 + n. Which is the closest to -1? (a) 0 (b) -2\/17 (c) f (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262180615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t**2 - 90*t**2 - 122*t**2.\nAnswer: -249*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (64\/(-96))\/((8\/(-1662))\/2). Suppose -f - 5*z + 432 = 0, 2*f - 2*z - 1153 = -y. Is f a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + 3 - (-34 + 6). Solve -4*o - 5*t = 28 + 17, -2*t - p = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b03 - -6?\nAnswer: b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 41*q**2 + 180*q - 6. Determine k(36).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g - 13*g**2 + 5*g**2 + 4 + 7*g**2. Let t = -9 + 6. List the prime factors of k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 3502064 = -1140436. Round q to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxibibxibxb. What is prob of picking 2 x and 1 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 75, -351, -0.2, 3, 1\/8, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 31) + -2 + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 618 and 617 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 8:48 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -71 (c) 1\/207 (d) -5 (e) 2 (f) -0.1 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-8))\/((-69)\/92).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdmsdssssdmd. Give prob of sequence msm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/18 + 2\/9. Let d(f) = f**3 + 5*f**2 + 3*f - 3. Let w be d(t). Sort w, -4, -5 in ascending order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**2 - 57*n - 58. Let s(i) = 5*i**2 - 54*i - 56. Let y(k) = 3*f(k) - 4*s(k). Suppose y(t) = 0. Calculate t.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.1 (c) 973 (d) -577\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(363)*3 - sqrt(243)*1)**2 - 2*(-2 + (-2*(0 + sqrt(3)*1))**2).\nAnswer: -10388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9128.139 kilograms to milligrams.\nAnswer: 9128139000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 384519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5570674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*10\/4*(-14)\/(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20030210 (base 4) to base 3.\nAnswer: 1201001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -178, -366, -678, -1114, -1674?\n\"Answer: -62*a**2 - 2*a - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**3*y**2 - 5626*g**3*y + 44*g**2*y - g**2 + g*y**2 + 285*g - 2*y**2 wrt g.\nAnswer: -42*y**2 - 33756*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**2*q - 5055038*h**2 - 5895024*h*q**4 wrt q?\nAnswer: h**2 - 23580096*h*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 12 = -2*u, -2*u = 5*j + 8. Suppose j = -3*l + 16 + 20. Let c be ((1 - 1) + 10)\/1. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**3 - 114*x**2 - 111*x = 0.\nAnswer: -37, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1797511278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Suppose -3*j = -2*j - 2. Let g be t(j). Sort 0, 4, g in ascending order.\nAnswer: g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-98))\/(412\/1442)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 0 - 2*f - 9\/2*f**2 - 1\/3*f**3. Let m be z(-6). Calculate the highest common factor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2891648 and 4976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/4 + 10*z**2 + 377*z\/4 - 209\/2.\nAnswer: (z - 1)*(z + 19)*(z + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*5*4\/240.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 44346.28 weeks?\nAnswer: 26820630144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657432936?\nAnswer: 2, 3, 1014557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143220 and 2901228?\nAnswer: 101542980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbhbjbhjhtbhzhbh. Give prob of sequence hjh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11898608, -2, 6, -3 in decreasing order.\nAnswer: 6, -2, -3, -11898608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-186)\/(-11) + -66 + 49 + 941\/(-55)\nAnswer: -86\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.5? (a) -3\/4 (b) 3\/4 (c) -2\/13 (d) -2\/5 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000110 (base 2) in base 6?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -31*r**3 + 5*r**2 - 44*r. Let l(z) = 29*z**3 - 6*z**2 + 45*z. Let j(d) = -5*l(d) - 6*u(d). Find the second derivative of j(x) wrt x.\nAnswer: 246*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7998 divided by 31.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9045.145 + 300.35556.\nAnswer: -8744.78944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 52 - 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.303739 hours in weeks?\nAnswer: 1.156569875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(5) + (sqrt(5) - (sqrt(5) + sqrt(5) + sqrt(10)\/sqrt(2)) - sqrt(5))*-5))\/(sqrt(300)*-2*1)*-1.\nAnswer: sqrt(7)\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 12:14 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o - 42 = 0. Suppose -21 = -2*j + 3*h + 28, -4*j - h = -133. Let g = o + j. What is the greatest common factor of 12 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 143056*i**2 + 90*i + 50. Let x be s(15). What is x rounded to the nearest one hundred thousand?\nAnswer: 32200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmmmkdddkkm. What is prob of sequence dkkm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + (-6 - (9 - 11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, 124, 457, 1090, 2119, 3640, 5749?\n\"Answer: 16*t**3 + 6*t**2 - t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 + 55*f - 2*f**2 - 55*f - 1 + 2*f**3 to the form l*f**3 + v + t*f**4 + b*f + w*f**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 345 and 885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - -65. Suppose 3 = -3*b - v*b. Is 2 a factor of (-494)\/(-52) - b\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498 = 24*f + 474 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5445\/1980 + (-178)\/24\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1507 divided by -17.\nAnswer: 1507\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 11*q + 2*q. Solve 5*r = -2*u + q, 12 = r + 3*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 d, and 1 i when three letters picked without replacement from nddniiixtnidd?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -211 + -48. Let j = 87 - a. What are the prime factors of j?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j - j**3 + 17 - 8*j - 3*j**3. Is q(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -14*n**2 - 84*n - 10. What is the tens digit of s(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 86. Let c = -25 + n. What is the remainder when 80 is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, -5, 21?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -56. Calculate the highest common factor of 14 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r**3 + 173*r**3 - 24*r**3 + 17*r**3 - 21*r**3 - 111*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -57, 2, -5, -31, 2\/11 in increasing order.\nAnswer: -57, -31, -16, -5, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106734*d**3*q**2 - 29*d**3*q - 18*d**2*q**2 + 4*d**2*q - d**2 - 2*d*q**2 - 65981 wrt d.\nAnswer: 640404*q**2 - 174*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(3\/(-3)))\/((-3)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 23*r**2 + 83*r**2.\nAnswer: 102*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(2\/62) - -3. Let i be a\/(-8) + 3\/(-2). Suppose 21 - 55 = -i*z. Calculate the highest common factor of z and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 37*h**5\/5 - h**3 + 33. Find the third derivative of y(b) wrt b.\nAnswer: 888*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(4 + -7 - 5\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10459*b - 11272*b + 28455 = 0 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 249 - 2944*q + 251 + 9986*q - 500 + (3 + 4 - 5)*(-q + 0*q + 0*q).\nAnswer: 7040*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24960)\/(-36448) - (-2)\/(-17). Let b = a - 8331\/1340. What is the common denominator of b and -3\/65?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4653781 - -0.2?\nAnswer: 4653781.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9721699m to kilometers.\nAnswer: 0.0009721699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -2 + (7 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:03 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -53\/10 (c) -4 (d) -0.4 (e) 231\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*l - 7. Put -0.13, l, -0.3 in ascending order.\nAnswer: -0.3, -0.13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3450193.\nAnswer: 97, 35569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111361397181 + 111361397181 - 34*d**2.\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 70*v + 2. Let q be f(1). Suppose -2*k + q = -k. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5627890795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -58?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**10*m)\/(m**(-4)*m*m*m)*((m**(1\/2)*m)\/m)\/(((m**(-2)\/m)\/m)\/m) assuming m is positive.\nAnswer: 1\/sqrt(m)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2228649 or 2228638?\nAnswer: 2228649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4330681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -29625*o - 57970. Let t be b(-2). Let 1\/5*z**2 + t - 32*z = 0. What is z?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 2:59 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 123 - 123 - 15*c**2 - c + (1 + 2*c - 1)*(0*c + 0*c - c) + 2 - 2*c**2 - 2 as g*c**2 + i*c + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**4\/2 + 3216*t**3 + 195849*t**2\/2 - 205491*t + 104352 = 0. Calculate t.\nAnswer: -32, 1, 2174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -26. Find the first derivative of a*g - 21 - 3*g + 30 wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398910, 398915, 398948, 399015, 399122?\nAnswer: 399275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and -0.33.\nAnswer: -0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 17*b + 1. Let t be s(3). Let j = 243 - t. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9107\/18 - -505. Find the common denominator of -13\/15 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.003 - -131\nAnswer: 130.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**6\/120 - 4*q**5\/15 + q**4\/24 + 11*q**3\/3 - 6*q**2 + 4. Let b be m(-16). Solve 5*d + b = -14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-8)\/(-160)*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4623727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 6*v**2 - v**2 - 309 - v**2.\nAnswer: v**2 - 309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55\/18 - 493\/45. Find the common denominator of r and -1\/922.\nAnswer: 4610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, -5, 114, 0.\nAnswer: -5, 0, 1, 14, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7952\/(-1491)*6\/(96\/1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0337 rounded to three decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 3)*(-2*s - 3*s + 6*s) + 0*s + s + 2*s + 1 - 1 - 2*s + (-4 - 1 + 3)*(-2*s + s - 2*s) in the form v + l*s and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2)*((-12)\/(-20) - (-57)\/30)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 7*f - 3. Determine s(11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3271521 and 2081877.\nAnswer: 22900647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27360 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18 - (-4)\/10*-5. Suppose -k = 6*n - 28. Solve 0 = n*v + 4 + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 148 + 142. Let y = h - -18. Solve -y*c + 3*c + 48 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 1. Let f(q) be the second derivative of 5*q**3\/6 - 3*q**2 - 3*q. Let y(w) = f(w) + 4*z(w). Give y(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/7*c - 2*c**2 - 6\/7.\nAnswer: -2*(c + 1)*(7*c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57 + 3?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5 + 11. Suppose 4*f + 22 + i = 0. Let y be ((-9)\/f)\/(-3)*-4. Which is bigger: y or 8\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 35 = -2*i - 3*i, -i = -5*t - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}