diff --git "a/data/dm_maths/full_data_1/1032_11255.jsonl" "b/data/dm_maths/full_data_1/1032_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1032_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 4, what is 1111021 - -10?\nAnswer: 1111031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(63)\/(sqrt(35)\/sqrt(5))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 4 (b) 0.3 (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -388725*w**5 + w**3 + 575900*w**2.\nAnswer: -23323500*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -2199, -5, 0, -1, 233 in decreasing order.\nAnswer: 233, 3, 0, -1, -2, -5, -2199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12673.5309 plus 0?\nAnswer: 12673.5309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + v - 5*v - 200, 3*h - 2*v - 208 = 0. Calculate the greatest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -52*k - 416. Let a be i(-10). Calculate the greatest common divisor of 442 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -8*x + 60. Solve 2*b + 14 = -2*h, -4*b = 3*h + 14 + x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2939?\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 433 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67 - (-25 + 3)) + 44?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 16 = 0, -3*u + 3*a + 102 - 65 = -2*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6850.7223 - 6851. Let g = 0.294 + n. Round g to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 8) to base 5\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -21. What is the tens digit of 69720\/231 - g\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32*(-64)\/(-4096))\/((-3)\/(-42)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 8. Let p = f - -3. Suppose 0 = 5*d - 3*w - 14, 10*d - 17 = 5*d + 4*w. Which is the closest to p? (a) 3 (b) -1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m - 4*m + 38 - 153 as r + h*m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 1, 4\/35.\nAnswer: 4\/35, 0.7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*a = 270, 6*r - 10*r - a = -1137. Let n = r - 280. Solve n*v = 3 + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = 0. Suppose d*k - 30 = -5*k. Calculate the least common multiple of 11 and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 46730203.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - 4*i - 3. Suppose 0 = c - 4*c + 3. Let d(y) = -4 - c + 6*y**3 - 84*y - 70*y + 147*y. Determine 4*d(z) - 7*s(z).\nAnswer: 3*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -398580 divided by -182?\nAnswer: 2190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.015 + -0.515. What is the fourth smallest value in -4, 1, h, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*i + 11, 0*i = 3*i - 4*s + 14. Suppose -51 = -i*t - 3*c + 2, 2*t = -2*c + 50. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**2*q*x + 2575*b**2*q - 2*b**2*x - 105*b**2 - 194*b*x - 3*q*x + 6*x wrt q.\nAnswer: -4*b**2*x + 2575*b**2 - 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26\/(-10) + (-8)\/20 + 175.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 8519?\nAnswer: 25557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10774, 5931, -4 in descending order.\nAnswer: 5931, -4, -10774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 432*a - 1. Is x(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 7:10 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -89\/1624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/147 - -272\/1617. Sort -6, -3, f, -4\/7.\nAnswer: -6, -3, -4\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260368.6 milligrams in grams?\nAnswer: 260.3686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 25 = 3*y. Calculate the lowest common multiple of 4 - (-14)\/y - 4 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1323))\/sqrt(9).\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-6))\/(1\/(-18))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjygjv. Give prob of sequence yj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46*(-30)\/(-6900)*425?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 3*o - 2. Calculate v(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 + -6.9. Sort z, 4, -2\/7 in ascending order.\nAnswer: z, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*q - 185 = 0, -3*q + 8*q = n - 197. Suppose -n*v + 171*v + 2712 = 0. Does 27 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000081601574 to seven dps.\nAnswer: 0.0000816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f*f**2))*f*f**(-31))**10 assuming f is positive.\nAnswer: f**(-260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 11) in base 5?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 732*b**2 + 13*b + 15. Let g be k(-1). Suppose 18846 = 20*x - g. What are the prime factors of x?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-11)*(x**20*x*x)\/x assuming x is positive.\nAnswer: x**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzzzzzzzzzzmzz?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -554649, -1109672, -1664695, -2219718, -2774741, -3329764?\n\"Answer: -555023*p + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77018628 or -77018627?\nAnswer: -77018628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -201010101212220 (base 3) to base 12\nAnswer: -34a21a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 545*q**2 + 498*q**2 - 1038*q**2. Let k(n) = 125*n. Give d(k(p)).\nAnswer: 78125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1445141 - -1225?\nAnswer: -1443512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5296*f**2. Let g(p) = 15*p. Determine g(x(c)).\nAnswer: -79440*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 5*b - 2. Let s be p(-4). Suppose 2*u = 2*f, 0 = 3*u + s*f - 0*f. What is the closest to u in 4, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 97514939 - -6?\nAnswer: 97514945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*i + 144 = -133*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**4 - 316*s**3 - 556*s**2 + 4620*s = 0. What is s?\nAnswer: -77, -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 916023*v**2 + 1832034*v.\nAnswer: 3*v*(v - 305339)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126*(-897)\/207*6\/(-468).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 422 and 8.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r + 104. Let i be q(-17). Suppose -a - 5*p = 2*a - 158, -i*p = -2*a + 116. What is the highest common divisor of a and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -167 (b) -6 (c) -2 (d) 0 (e) -5.71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7bc (base 14) to base 3\nAnswer: -2002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/63*((-2)\/(-2))\/((-7)\/(-21))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -130*l + 130. Let o(a) = 26*a - 25. Let f(q) = -26*o(q) - 5*z(q). Let y(t) = -4*t. Determine f(y(w)).\nAnswer: 104*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 6 = 6*z, -1991*u + 1990*u - 2*z = 6 - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001541001 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from ybybbbbbybbbbbybyy.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 723 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 49708.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 581, 1\/3, 642, 2\/25?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + 1 - sqrt(612)) + 4)**2 + -2*(sqrt(612)*-2)**2.\nAnswer: -4871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -3*w**4\/4 - 4*w**2 + 2. What is the second derivative of a(p) wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2025 = 75*p + 675. What is the third smallest value in -4, 2\/9, p, 1\/8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 26*d**2 + 12*d + 26. Determine a(-3).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrxq when four letters picked without replacement from xxlqrr.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 p when three letters picked without replacement from ilpplllilll.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -227622*j**3 - 10589 with respect to j.\nAnswer: -682866*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6516094 - 6516093 + 13032187 + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3517 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-25)\/40*2)\/(2\/(-8)). Suppose -b + t = -40. Is 10\/b - (-72604)\/36 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*144\/(-54).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.646959 to two dps.\nAnswer: -9.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + y**2 + 6*y**2 + (-3 + 3 + 5*y)*(y + 3*y + 4*y) + 5*y**2 + 154 - 154 in the form p*y + c + d*y**2 and give d.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1326*m**3 - 17623 + 17623 + (m**2 - m**2 + 2*m**2)*(-3*m + 2*m + 2*m).\nAnswer: -1324*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1667 - 1568. Let h(y) = -y**2 + 7*y - 3. Let c be h(6). Suppose -c*v = -5*v + 40. What is the remainder when k is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220.5 + -0.2.\nAnswer: 220.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13062514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11949 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3055.5 to the nearest ten.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19038 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**4\/4 - 25*w**3\/3 - 9*w**2\/2 - 206*w. What is the smallest common multiple of 33 and t(-15)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(0 + 30\/9). Let s = f + 5. Let i(q) = -q + 5. Calculate i(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2653305, 2653304, 2653303, 2653302, 2653301, 2653300?\n\"Answer: -c + 2653306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-56)\/(-18) + 2\/(1*(-3)\/6) and -113\/1374.\nAnswer: 4122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((3 + 3)*1)\/((-2)\/(28\/(-21))). Solve -9*u - o*u = -39 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 96604.\nAnswer: -3\/96604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 82. Let f = p - 80.99873. Round f to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + (8\/(48\/2478))\/1 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -202609404, -202609405, -202609406, -202609407, -202609408?\n\"Answer: -h - 202609403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 20*k - 64. Let h(z) = z**2 - z - 2. Let m(f) = -g(f) + 3*h(f). Let n be m(-13). Let j(x) = x**2 - 9*x - 8. Calculate j(n).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150 + 346. Let m be 15\/(105\/n) + 10\/2. Solve -4*u + 12 - m = -q, 5*q = -2*u + 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180275951.\nAnswer: 37, 4872323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 7*s**2 - 6*s - 1. Let g(v) = -5*v - 48. Let p be g(-10). Suppose -5*w + 3*r = -27, -4*w - p*r + 9 = -17. What is o(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k - 12. Let w be l(-2). Let h(c) = 6*c**2 - c - 7. Let f be h(w). Solve -14*v = -f*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*i - 48*u + 43*u, -5*u = 4*i + 38 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d**3 - 15*d**3 + 0*d - 3*d as v + r*d**2 + s*d**3 + n*d and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-28)\/(-17)))\/((-14)\/(-1792)*32)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32735 - 32735 + 357*x)*(-2*x**3 + 4*x**3 - 3*x**3) - 3*x + 4*x**4 - 3*x**4 + 4*x to d*x**3 + m + n*x + u*x**4 + q*x**2 and give u.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1076*-2.\nAnswer: -2152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 132260500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 63. Is 20 a factor of (-2)\/(0 - 3\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -51, 2 in ascending order.\nAnswer: -51, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7))**(2\/109)*(q\/q**12)\/q*q\/(q**(-5)\/q))**(-38) assuming q is positive.\nAnswer: q**(145122\/763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*m**2 + 1393*m**5 - 2787*m**5 + 1394*m**5 - 278*m**6 wrt m?\nAnswer: -33360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299731366 to the power of 1\/2, to the nearest integer?\nAnswer: 17313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.14 = -199257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Suppose 4*k - v*q + 2 = -k, -4*k + 5*q = -1. Sort 4, k, -2 in decreasing order.\nAnswer: 4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530882 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 9, -39.55, -0.3 in ascending order.\nAnswer: -39.55, -0.3, 9, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9154 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*v - v - 12, 0 = -4*x - 20. Let n(g) = -3*g**2 - g - 2. Let j be n(2). Let h = j + 18. Which is bigger: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/329, -1\/5, 5\/6, -1, -2\/7, -0.7, -5?\nAnswer: 4\/329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 6. Let y(p) = -2*p - 11. Let g be 0 + (-2)\/(4\/(-22)). Let r(d) = g*h(d) + 6*y(d). Let v(x) = -19 + 6 - 4*x + 13. What is v(r(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 500 and 1130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 7*h**2 - 2 - 18*h**2 + h**2 + 8*h**2. Let s(i) = 45*i**2 + 18*i + 36. Let b(z) = 18*o(z) + s(z). Let k(d) = -5*d**2. Determine k(b(a)).\nAnswer: -405*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/238 and -131\/306.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -17. Let y(l) be the second derivative of 0*l**3 - 1\/2*l**2 + 0 + 0*l**5 - 3*l - 1\/15*l**6 + q*l**4. What is the first derivative of y(d) wrt d?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272698 = 705*n - 290323 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/147007 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-288)\/40) + -2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4b (base 12) to base 6\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 140.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t - 25*t = 24*t - 10. Which is the fifth biggest value? (a) 118 (b) 5 (c) -5 (d) -0.1 (e) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f = -37*f + 9. What is the nearest to -4 in 0.2, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:50 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20189\/(-21528) - (1 - -3). Let t = c + 9\/184. Find the common denominator of 87\/26 and t.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502.\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 461, 579?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s + 4. Let f(d) = -2*d. What is -3*f(x) - h(x)?\nAnswer: 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8) + 26\/(-8). Let t be (f + 5 - 3) + -7. Find the common denominator of 4\/6*(-159)\/t and 49\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.8 + -7.8. Which is the nearest to u? (a) 1\/4 (b) -1\/4 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37\/45*-1 - -2. Let g = s + -7\/9. Factor 2\/5*u**2 + g*u - 4\/5.\nAnswer: 2*(u - 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -0.0386.\nAnswer: -1.0386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.32 - 2.352. Let p = 0.068 - b. What is the second smallest value in p, 0.4, -2\/29?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmocljxo. Give prob of sequence jc.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.3954 and 8.30508.\nAnswer: 10.70048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 0*l**2 - 40\/3*l**3 - 15*l + 10\/3*l**4 + 0 + 15\/4*l**5 - 4\/3*l**6 + 5\/42*l**7. What is j in u(j) = 0?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122122002 (base 3) in base 12?\nAnswer: -7532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 172 - 212. Suppose 1134 = 4*k - t, d*t = 3*k + 3*t - 842. Is 60 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -1\/7 (c) 3\/4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.76 - 0. Round h to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.4, 138, 4\/5, -0.4?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -12589, 0.2, -3, -8\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 586 and 8230.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*v - 2*i, v - 2*i = 2 - 6. Let x(r) be the first derivative of -r - r**v - 1\/3*r**3 + 1. Let x(n) = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1. Let s(m) = -2*m - 6. Let c(w) = 2*w**2 + 15*w + 6. Let y be c(-7). Let x(g) = y*s(g) - 2*r(g). Calculate x(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 18*w**3 - 3*w**2 - 16*w + 28. Let t be q(12). Is ((-7)\/14)\/(-3 + 91522\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 0 + (95 - 81) + 45 + -6.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 6. Let u = 19 + -23. Let k be (-6 - (u + -2)) + (1 - 3). Let f be x(k). Let r(z) = z**2 - 1. Determine r(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -422, -828, -1234?\n\"Answer: -406*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2. Let g(o) = -o + 10. Let n(t) = g(t) - 5*r(t). Let m(i) = -131*i**2. Give n(m(x)).\nAnswer: 131*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -157946005.5 rounded to the nearest 100000?\nAnswer: -157900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1914*j + 1914*j + 25*j**3.\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-five halves of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 1975 = 4*s + 1827, 0 = -4*s - d + 152 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.06147171 rounded to 4 decimal places?\nAnswer: -5.0615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0*w**5 + 1\/4*w**4 + 0*w + 0*w**3 - 1\/24*w**8 + 33*w**2 + 0*w**7 + 0 + 0*w**6. Find the second derivative of b(j) wrt j.\nAnswer: -280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 2*o**2 - o**2 + 12*o**2 - 7*o**2 - 11*o**2 + 3*o**2 - 2*o**2 + 0*o**2 + (-2*o**2 + 1 - 1)*(3 - 4 + 0))*(1 - 1 - 2*o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 281644489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*p = -30, -9*c - 3788*p + 3793*p = 65 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3122285 is divided by 413.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-134 - -127) + (1 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103 is divided by 224?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**3\/3 - 8*c**2 - 152*c + 6. Let h be o(-7). Solve -12*l + h*l + 12 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 7425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + s - 6*s - 1650005 = 0, 4*t = s + 1320001. Round t to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -3\/4 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*l**2 - 10 - 13 to i + q*l**2 + c*l and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f - 4*f)*(-3 - 3 + 5)*(-2*f**2 + 0*f**2 + f**2 - f**2 - 1 + 1 + (2*f + 2 - 2)*(-2*f + 5*f - 4*f) + 3*f**2 - 5*f**2 + 24*f**2).\nAnswer: 90*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26, -22, -16, -8, 2?\n\"Answer: g**2 + g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000495 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 12 = -2*k + 4*c, 2*k + 16 = 5*c. Suppose -k*f - 2*f = -40. Suppose 4*x = 2*a + 3 + 23, 2*x + a - 3 = 0. Solve f = m + x*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -235*o + 240*o + 3*c + 24, -3*o - 2*c = 16. Factor 8\/9*x**3 + o - 2\/3*x**2 + 0*x - 2\/9*x**4.\nAnswer: -2*x**2*(x - 3)*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m + 1, -l + 2*m + 16 = 0. Suppose l = -2*z + 20. Find the first derivative of 6*s + z*s + 0 - 3*s - 1 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9))**(1\/29))**(-15) assuming o is positive.\nAnswer: o**(10\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 20*x**2 + 9*x - 10. Let n be q(-18). Suppose 0 = -n*p + 475*p + 2. Solve p*l + 2*l = 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.298 + 36.054?\nAnswer: 37.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 718 and 3267?\nAnswer: 2345706","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8319795 and 2475?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 2*c + 5*c**2 + 1 - 2 + c**3 + 3. Suppose -12 = -15*i + 18*i. Let d be j(i). Solve -3*f = -2*w - f, -3*w - d*f = -15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 15*i**2 - 16*i + 31*i**2 - 18*i**2 + (-3 + 0 + 1)*(2*i**2 - 5*i**2 + i**2) to t*i + g*i**2 + w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31\/(-5) - 2\/(-10). Let z be (x\/15)\/(1\/5). Let y = 2164.52 + -2163.52. Which is the nearest to 4? (a) z (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**5\/60 - 5*w**4\/12 + 4*w**3\/3 + 55*w**2. What is s(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)*6\/2. Suppose 0 = 5*t - i - 17. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-a - a + a) + 0*a - 27*a - 11*a.\nAnswer: -39*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 26*q**3 + 16*q + 6. Let s(k) = -1 - 6287*k + 6284*k + 0 - 5*k**3. Give -3*p(i) - 16*s(i).\nAnswer: 2*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 2072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.7497 rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*m - 3. Let n(u) = 3*u - 3. Let v be n(-3). List the prime factors of v\/30*m\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1611 - 604 - 50782*q**2 - 508 - 499.\nAnswer: -50782*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.15 (b) -4823 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -426513, 2, 70 in decreasing order.\nAnswer: 70, 2, -426513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/((sqrt(20)*3)\/sqrt(2))*-6 + 3)**2.\nAnswer: -12*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a + 4*t + 24483, 0 = 3*a - 3*t + 14679. Let i = a - -20695. Round i to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1108520 and 1119755.\nAnswer: 3745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/3, 251, 1\/7 in descending order.\nAnswer: 251, 2\/3, 1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*p + 9*p**4 + 133*p**2 + p**3 - 2 - 133*p**2 - 29*p to the form n*p**3 + l*p**4 + y + v*p**2 + u*p and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011111000010000 + -11000?\nAnswer: -100011111000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3468 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2092055 is divided by 1761?\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w + 59. Determine l(11).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502*f**2 - 349*f**2 + 958*f**2.\nAnswer: 1111*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1503, -1515, -1541, -1587, -1659, -1763, -1905?\nAnswer: -2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*s + 71. Calculate the highest common divisor of s and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222795 by -5.\nAnswer: 44559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*i + 18. Let h = i - -16. Suppose -69 = 3*d + 3*x - 306, x - 391 = -h*d. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*b**2 - 18*b**2 + 51*b**2)*(-1 - 1 + 1)*(-1 - 2 - 1) as z + a*b**2 + g*b and give a.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -4f8?\nAnswer: 4fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 81105056\nAnswer: 1\/40552528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a**4 - a)*(5*a - 44 + 36*a + 46)*(2 + 0 + 2).\nAnswer: -328*a**5 - 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 25\/2. Let j = -2.5 + 2.94. Let q = j - -0.06. Which is the smallest value? (a) q (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 148, 327, 502, 673, 840, 1003?\n\"Answer: -2*s**2 + 185*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 3*v - 3*v)*(-3*v**3 + 3*v**3 + 2*v**3) - 1900 + 36*v**5 + 1900 + (-4*v + 4*v - v)*(-5 + 3 + 0)*(-3*v + 2*v + 2*v)*(-v**3 + 5*v**3 - 3*v**3).\nAnswer: 44*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442636311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - 0 - (-16 + 59 + -61)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 16*j + 15. Let q be i(-15). Suppose -3*r - 13 + 55 = q. Let f(p) = -p - 15*p + r*p. Let o(g) = -8*g. What is f(o(h))?\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1245 less than 104.75?\nAnswer: 104.6255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2191247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*a - 5 = -3*z, -3*z - a = -18. Suppose -3*x - 10 = -5*w - x, -2*w = -x - z. Solve 2*r = -w*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dydyyyyyyyyyyr. What is prob of picking 1 y and 1 d?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from mdigb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -284*c + 11170. Is 3 a factor of s(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -168161*o + 168082*o + 4819 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70295 and 306?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 9 = -m, -29*i = -27*i. Let s(v) = -2*v - 9. Let h(u) = -u - 4. Calculate m*h(l) - 4*s(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2a8 (base 13) to base 7\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.272 and 0.2351558?\nAnswer: -0.0639623776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/76 and 119\/228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -144*o**7\/7 + 89*o**3\/3 + 59. Find the third derivative of l(n) wrt n.\nAnswer: -17280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 57. Put -2, r, -4 in descending order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1122 - 0.0178. What is the smallest value in 4, 2\/95, 0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + c**2 + c - 5. Let d be w(0). Let j = 9 + d. List the prime factors of (-5)\/(-2)*j*1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -613*y**2 - 14485*y wrt y?\nAnswer: -1226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -35816*h - 71549. Give v(-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976441.9kg to nanograms.\nAnswer: 976441900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115922, 231850, 347778, 463706, 579634?\nAnswer: 695562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -14.05. Let x = d + 3.95. Sort 3\/8, x, -0.4 in decreasing order.\nAnswer: x, 3\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8158374 - 8158381 + 16316755 - 7*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:35 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -266, -550, -848, -1166, -1510?\n\"Answer: -w**3 - w**2 - 274*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2394*f**5*z + 5*f**4*z**3 + f*z**3 + 16*f*z**2 - 30*f + 2*z**3 wrt f?\nAnswer: 47880*f**3*z + 60*f**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 962169713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -149. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) + 2*sqrt(102)*-5)) + sqrt(102))\/sqrt(6) - (sqrt(2057)*-3 + 3).\nAnswer: -3 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 153808, 306816, 459824, 612832?\n\"Answer: 153008*z + 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -3 + 3 - 0. Find the third derivative of 6*r**3 - 3*r**3 + 2*r**3 - c*r**3 - 7*r**2 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -430.\nAnswer: 7\/430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148365?\nAnswer: 3, 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**4\/4 + p**3 + 2*p**2 - 4*p - 1. Let v = -115 - -118. Let k be d(v). Solve 4*t + 5*w - w = -k, 4*w = 4*t + 32 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4883785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*k**2 - 4 - k**2 - 40 - 15 + 188*k**4 + 7 wrt k.\nAnswer: 4512*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133393\/4 < -33349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -9, 5, -10, 43, -42, 1 in decreasing order.\nAnswer: 43, 5, 1, -9, -10, -11, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - -11) - 3\/((72\/(-132))\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -4.1. Let t = x + -3. Let q = 1 - t. Is q less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -7 - (-34)\/9. What is the closest to h in 1\/4, -1\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = 5*x - 5*k, -k = 4*x - 13. Let q(m) = -5*m - 3. Let f be q(-4). Let g = f + x. What is the remainder when g is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5008 - -1898. What are the prime factors of t?\nAnswer: 2, 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52\/156)\/((-4)\/(-90))*9\/(-30)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1955 + 3235. Let p be (-2125)\/(4\/o - 0). Round p to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(2*2\/(-16)). Let z be ((-24)\/d)\/((-3)\/(-10)). Calculate the common denominator of -2 + z\/((-192)\/(-63)) and 25\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/8 - 3015*x**2\/8 + 30796*x - 120171\/2 = 0. Calculate x.\nAnswer: 2, 82, 2931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6927638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**2 + 14*n - 5. Let w(a) = 11*a**2 - 30*a + 9. Give -7*t(p) - 4*w(p).\nAnswer: -2*p**2 + 22*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/67 + -739\/134. Let i = -31\/6 - f. Factor 4\/3*y**2 + 2\/3 + 5\/3*y + i*y**3.\nAnswer: (y + 1)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 14, w: 1}. Give prob of picking 2 j and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3 + 193208*i**2 + 4422648 wrt i.\nAnswer: -3*i**2 + 386416*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-48848))\/((-28)\/(-726486)). Let w = b - -2\/21371. Calculate the common denominator of 132\/99 + 310\/132 and w.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -264894936550 + 0.1142\nAnswer: -264894936549.8858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2*t = 9880 - 9718, 10*i + 5*t = i - 451 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, u: 3, m: 4}. Give prob of sequence mumu.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/2 (c) 3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzzzszszzsszqzqs. What is prob of picking 2 s?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 divided by -4.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 3 - 0) + 1. Let v(s) = 2*s - s - 11 - p*s - 11*s. Is v(-9) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.73 - 12.97. Let s = d - -56. What is the fourth smallest value in 4, -4, s, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 951 - 753 = 0 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193709338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - a. Let s(f) = -28*f**2 + 2*f - 2. Let r(k) = 2*b(k) + s(k). What is the first derivative of r(q) wrt q?\nAnswer: -60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/9)*x)\/x)\/(x*(x**(1\/19)*x)\/x))**(1\/35) assuming x is positive.\nAnswer: x**(-218\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 4*f - 30 = 0, -1 - 10 = 3*q + f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 53 - 11 = 0. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3040*t + 24348. Give w(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1107267 and 1617.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119 + 112 - 231 + 891*b to k*b + c and give k.\nAnswer: 891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101 + -11011?\nAnswer: -10011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:42 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**(2\/3))\/u))\/u)\/u**(2\/15)*(u**(-2\/7))**0 assuming u is positive.\nAnswer: u**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 8:28 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -66696 divided by 3?\nAnswer: -22232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + z = -z + 1, 3*z - 3 = 0. What is the smallest common multiple of 18 and ((-528)\/80 - -5)\/(b\/(-110))?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 535.274 + -530.1. Let n = 0.174 - d. Let y = 300 - 2696\/9. Which is the third smallest value? (a) n (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 286.95 + 0.05. Let y = 286 - n. Sort 3\/5, y, -0.2, -2\/7 in increasing order.\nAnswer: y, -2\/7, -0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*x + 142*x - 84 = 0. What is the remainder when 100 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 14*a**2 - 25*a + 11. Let b be j(12). Is b greater than or equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-2)\/(8\/2)). Suppose 0 = 6*m - 2*m - h. Let c(b) = -b + 7*b + 0*b. What is c(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4625050 (base 7) to base 12\nAnswer: 23a59a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4640*y**4 - 3*y - 2194 wrt y.\nAnswer: 55680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.013 + 0.987. Which is the closest to -1? (a) -2 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190613.7 millimeters to meters.\nAnswer: 190.6137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25619 = -8*z - 2*f + 25579, 5*z - 27 = 2*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*f = 1268 - 92 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -384*g + 112 + 390*g + 2. What is the tens digit of u(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r - 6. Let i(v) = -9*v - 5. Suppose 5*l = -4*q + 15 - 64, -12*q = -l + 67. Determine l*h(j) + 6*i(j).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8623.04 meters in micrometers?\nAnswer: 8623040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2.8. Let i be 3 - ((-2)\/(-4 + -2) + 3). What is the closest to -0.1 in x, 0.5, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(1008) + (sqrt(1008) + 2*sqrt(1008) + sqrt(1008) - sqrt(1008))))**2.\nAnswer: 11\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*n = 2*n + 16, y - n - 2 = 0. Let l be 8\/(-4) - 4*7. Does 17 divide ((l\/1)\/y)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.773 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2 = 2*u - 0*z, -5*u + 4*z + 9 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x. Let m be h(2). Does 24 divide 64\/m*18\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 718807436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -17. Let o be (15180012\/m)\/3 - 20\/110. Round o to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(((-54)\/3)\/(135*(-13)\/(-468)))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, and 1 b when three letters picked without replacement from {l: 1, o: 1, g: 1, y: 6, b: 1, h: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2796 + 1356. Round i to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-14))\/(2\/(-14))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 - -2.1. Let q = 6 + -3. Is t >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0 + 6, 39 = 2*a - 3*h. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*w**2 + 6996*w**2 - 38*w**2.\nAnswer: 6666*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 11*b + 7880. Let a = -697 - b. Solve -a*d + 9*d + 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*p**2 - 20*p + 5*p**3 - 5*p**3 + 2*p**3 - 8 - 6*p**3.\nAnswer: -4*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/26)\/(1269\/2444)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*u - 276 = 0, -4*c + u + 330 = -32. Let y be (-18)\/21*(-1050)\/c. Solve 4*h = y*h - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-747*w**2 - 120*w**3 + 747*w**2)*(w + 0 + 1 - 3 - 2*w**2).\nAnswer: 240*w**5 - 120*w**4 + 240*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142091 is divided by 28415?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*-3*40\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-42)\/35)\/((-4)\/10). Suppose w*y = 7*y - 628. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/40 - n**4\/12 + 10*n**2. Let s(r) = 48*r**3 - 33*r. What is 66*o(m) - 4*s(m)?\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92568 and 171969?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + n + 3. Suppose 0 = 3*h - 8*h - 5*v + 15, -3 = 3*h - v. Let o be i(h). Factor 0*b + 0*b**2 + 0*b**o + 0 - 1\/4*b**4 + 1\/4*b**5.\nAnswer: b**4*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-75)*(-45)\/(-40))\/((-2)\/12)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 3. Suppose -2 = -18*t + 19*t. Let a(v) = -3*v - 7. What is t*a(j) - 5*y(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27768812.\nAnswer: 2, 83, 83641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/(-1))\/((-1)\/2))\/((74655\/(-474))\/315)\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18969 + 2497 = -29*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 81 - 84 = 3*x, 5*i - x = 25 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, r: 6, n: 3, m: 1, w: 3}. Give prob of sequence qn.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5884 divided by 2.\nAnswer: 2942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10330560 is divided by 5295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 455916 divided by -6\nAnswer: -75986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-2)\/(-6)*240\/(-16)*-3647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -499651817*s**3 - 264664012*s - 1.\nAnswer: -2997910902*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2661 = -1189. Suppose 5*x - i = 5*g, 3*x + x - 1537 = 5*g. Suppose 0 = -4*f + 3*u + 1160, 503 = 3*f + 3*u - x. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -11\/3*j**4 - 13\/25*j**5 + j**2 + 1\/15*j**6 - 121\/15*j**3 + 0*j + 6 - 1\/525*j**7. What is f in m(f) = 0?\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -262127.935 - 3.69.\nAnswer: -262131.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 20231.\nAnswer: 80924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 3, -67?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - 0)\/((-3)\/(-3)). Let r be (-130)\/(-3)*k\/6. Which is greater: 67 or r?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/((v*v\/(v**(-3\/4)*v*v))\/v)*v*v))\/(v\/(v**(3\/4)\/v))*v**(-4)*v**(-1\/10))**(3\/32))**24 assuming v is positive.\nAnswer: v**(-171\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j = -49*j + 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 15. Let t = 3 - f. Suppose t = z - 5 + 2. Solve 4*n - 18 = 5*y, -2*n - z*y + 4 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 6*t + 54. Suppose -8*f = -t*f + 1157. Factor -f*o**2 + 1157*o**2 + o**3 - o.\nAnswer: o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - 9. What is the remainder when (-870)\/(-105) - 4\/14 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-4) - ((-620)\/80)\/(-31). Do -2\/11 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249 divided by -506.\nAnswer: -249\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 34*w - 564. Put w, 0, -2\/7, 1\/6 in decreasing order.\nAnswer: w, 1\/6, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5569 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwwwjwghwwjwhh. Give prob of picking 2 w.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 4*o - 2. Let p be a(-5). Suppose -4*m + p*b - 2 = 0, -3*m + 0*b - 2*b + 7 = 0. Let q be 9\/6 + m\/2. Solve q*t = -2*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:45 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2 and 97\/2416?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*d**6 - d**2 + 35 wrt d.\nAnswer: 17040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*g = 3*f - 25, -f + 2*g + 5 = 0. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 53425 = 56*a - 55*a, 160179 = 3*a - 4*n. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/364 and (2\/(-4))\/(-38 - 564\/(-18))?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.33 + 11.8. Let y = g + 13.528987. What is y rounded to five dps?\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 38. Suppose 4*l - 35 - 943 = -2*c, -h = 5*c. Let m = -135 + l. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11977543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -866909 divided by -1.\nAnswer: 866909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4620155741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - w + w)*(-71 + 45 + 526*w - 651*w).\nAnswer: 125*w**4 + 26*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by (3 + 0 - 61)*(-15 + 14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 8*x**2 - 13*x - 4. What is p(-11)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046 = 22*l + 1354 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 4:54 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - -12123?\nAnswer: 12144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/4)\/(2*13\/(-8)))\/((-6206)\/6206)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209325562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17098.806 + -17206. Let t = k + 107. Let l = t - 8.906. Round l to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 524*r + 43 - 14 - 8 - 13 - 11 to a*r + j and give a.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 730688075?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164075 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - (2 + 4 + -20 + 34 + 2 + -12)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/3700)\/((-11)\/((-55)\/2)). Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**2 + 2*p + 1. Suppose 3*i + 8 = -i. Suppose -d + k - 7 = 5*k, -k = -d + 3. Let c = i + d. Calculate v(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230334370 divided by 16452455\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/4)\/y)**(18\/11)\/(y**1)**(1\/15) assuming y is positive.\nAnswer: y**(113\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 3*u**2 - 18182 - 4*u**4 + u**3 + 18182 in the form t*u**2 + q + f*u**3 + h*u + n*u**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1003 - -1005. Which is the third biggest value? (a) -2\/3 (b) w (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 644 and 124629617?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1299*j**2. Let q(a) = 62889*a**2. Determine n(q(g)).\nAnswer: -5137579190979*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1668098297 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7465254mm?\nAnswer: 0.0000007465254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**3 - 2. Let x(b) = 5*b**3 - b**2 + b + 3. Let v(f) = 4*p(f) + 3*x(f). List the prime factors of v(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.27.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1687.5*-0.2.\nAnswer: 337.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97871.2239 + 97878. Round t to two decimal places.\nAnswer: 6.78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 4, -4*h + 5*p - 7*p = 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 26 - 3*n + 88 - 115*n - 32 to the form o*n + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 837 - 837. Solve f = -2*t - 5*w + 33, 0 = -t - t - w + 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -40.423 (b) -13\/25 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 3*o + 2*o + (0 + 0 - 2)*(3*o - 3*o + 2*o) + 0*o - 1 + 0 - 2*o in the form l + y*o and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4066841820?\nAnswer: 2, 3, 5, 3371, 20107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or -495?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -99100 rounded to the nearest 1000?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b - 305 + 81 = 0. Suppose 4*h - 4*w = 240, 4*w - 13 - b = 0. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 5199324.\nAnswer: 5199324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 - 3*u**2 + 2*u**2 + (-4*u + 5*u - 3*u)*(-5 + 2*u + 5) + (-6*u - 9*u + 2*u)*(0*u + 2*u - 5*u) in the form m*u + v + r*u**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.2 less than or equal to 23\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 6*h**2 + 10*h - 3. Let m be p(7). Calculate the highest common factor of 126 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -23. Let u be ((-12)\/160*4)\/((-9)\/(-12)). Sort u, h, 1 in descending order.\nAnswer: 1, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 17, 44, 3 in ascending order.\nAnswer: -2, 3, 17, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*j - 12401 = 851*j + 6559 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -45\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**3\/5 - 18*d**2\/5 - 108*d\/5 - 42. Determine r, given that f(r) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 14*x**3 - 91*x**2 - 4. Let h(t) = 3*t**3 + t**2 - 1. Calculate -f(u) + 4*h(u).\nAnswer: -2*u**3 + 95*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/3 and -0.67047109 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -24. Calculate the lowest common multiple of 1 + 7 + 0\/(-2) and (-10)\/60 + 133\/o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2829579 - 0.283. Round u to 6 dps.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 11*o**2 - 4*o**2 + 2618*o - 5*o**2.\nAnswer: 2*o**2 + 2618*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 37 = 1579. What are the prime factors of r?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70995087 and 15776686.\nAnswer: 141990174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*((sqrt(18) + 1 - sqrt(18)) + -5) + sqrt(198)\/(sqrt(22)\/sqrt(2))*6)**2*-3*5.\nAnswer: -11220 - 5400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 - (16 - 7)\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325440\/16950 - (-3930)\/(-275).\nAnswer: 54\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26137925 is divided by 634.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 2)*(-4 + 3 - 3)*(-322 - 2558 + 4*y + 59) to c + t*y and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 404 + -379. Solve -3*v = -2*h + 15, -4*v + 5 = -2*h + x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {j: 1, u: 2, s: 2, f: 2, h: 1, e: 5}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5*20\/(-8). Let b(v) = -6*v + 5*v + 2*v + 3*v**3 + x. Calculate b(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17654 + -17658. Let f(p) = -p**3 + 2*p**2 + 26*p + 8. Give f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yylylyyyyhyyry. What is prob of sequence yrll?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236450534 is divided by 414099?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 1, b: 3}. What is prob of picking 2 b, 1 h, and 1 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1182989520 to the nearest one million.\nAnswer: 1183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + i**2 + 0 + (-3*i + 6*i + 0*i)*(5*i - 2*i + 0*i) + (6*i**2 + 0*i**2 - 4*i**2)*(5 - 3 - 4) - 6*i**2 + 3*i**2 + i**2 to w*i**2 + f + q*i and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4919a9 (base 13) to base 4\nAnswer: 12222102132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -9348, 3.\nAnswer: -9348, -25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1629 to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 3. Let q(j) be the third derivative of j**5\/30 - 3*j**3\/2 + 310*j**2 - 1. What is the smallest common multiple of q(s) and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187323\/16 + 11704. Let n = 45 - 69. What is the common denominator of h and (2\/n)\/(2\/(-356))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -q, -2*h + 5*q = 4 - 204. Solve h*z = 96*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -56*c + 7. Let q be 2*(-1)\/(-2) - -36. Let l be 6\/21 + q\/(-7). Is u(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1508 and 364.\nAnswer: 10556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.54 - 0.501. What is r rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 6:55 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwxtxccrxexc. Give prob of sequence ec.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31664000 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 10:04 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -4*r, 26*y + 2*r = 30*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70258?\nAnswer: 2, 35129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*c + 14, 0 = 2*n - 2*c - 6. Let i = 3 - n. Suppose 0 = 4*j + i*h - 78, -42 = -2*j - 0*j + 2*h. Solve -2*z = 3*z + j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 439338 and 615469.\nAnswer: 136634118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k\/((k*k**(-2\/47)*k)\/k))\/k)*k*k\/(k\/(k\/k**(13\/3)*k))*(k*k*k**(-4))**(-42) assuming k is positive.\nAnswer: k**(11932\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25067480 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a - 1536 = -13*a. What is the smallest common multiple of 1260 and a?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, y: 2, d: 1, b: 3}. Give prob of sequence yykk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r - 9 - 6 + 20 + 10*r**2 - 12 wrt r?\nAnswer: 20*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 8 - 2. Suppose -o*h + 3*h - 5*m - 18 = 0, 0 = h - m - 2. Let n = -3.929 - 0.071. Which is the smallest value? (a) -1\/6 (b) n (c) h (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*x**2 + 16*x - 55*x**2 - 18*x + 22759.\nAnswer: 3*x**2 - 2*x + 22759","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3773063959 to the nearest integer?\nAnswer: 61425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 669.9 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-20))\/(9\/6). Let q be 2\/(-5)*(8 + -9). Factor -q*c - l*c**2 - 1\/5.\nAnswer: -(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 785 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tlopytq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.634 + 12.7853. Let l = k - -14.847. Let d = l - 13. Round d to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23\/6, 4, -0.1, 1, 2\/7 in increasing order.\nAnswer: -23\/6, -0.1, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*k - i - 1, -3*i = -2*k - 16. Let o be (-1)\/k - 133\/14. Which is smaller: -8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2704 and 139\/211464?\nAnswer: 71474832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 - 144. List the prime factors of 10\/30 - 857\/y.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 19*b + 14. Suppose -44*g + 317 = -475. Give y(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 141121.\nAnswer: -141121.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5771 - -2.5778764. What is l rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6ec6ef (base 16) in base 2?\nAnswer: -11011101100011011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 3. Suppose -12*t = 46 + 2. Let o = t - z. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t + 0*t**2 - 5*t**2 + 4*t**2 - 6. Let o be r(-5). Suppose i - o*i = 1500000. What is i rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)\/o*o*o\/o**(2\/15)*(o*o**(-1\/2))**(4\/19) assuming o is positive.\nAnswer: o**(-1433\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*a + 0*a - 13499 = 0, 4*a = -4*s + 10796. Calculate the highest common factor of 219 and s.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/184794 and 35\/9726?\nAnswer: 184794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 398.311 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18363950 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c + 890631628 = 890631928 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 364 and 130.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 29 + 62)*(l - 4*l + 4*l)*(-1 - 5 + 2)*(-1 - 10 + 1) as v*l + n and give v.\nAnswer: 4240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2028 - 4057 + 2029 - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 94 + 3*t - 91)*(-4 + 2 + 1) to the form y*t + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.033? (a) 723 (b) -2 (c) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*q**3*t - 1647*q**3 + 3*q**2*t - 5*q**2 + 64*q*t + 857*q + 8*t + 1 wrt q?\nAnswer: -90*q*t - 9882*q + 6*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -1)*-2 + 7. Let r be -3 - (3 - b - 15). Solve 4 = 5*s + r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7833d + -67?\nAnswer: -783a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**3 - 131*z**2 - 12. Let c(f) = 12*f**3 - 265*f**2 - 27. Determine 4*c(u) - 9*m(u).\nAnswer: 3*u**3 + 119*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60.4 + -124.2. Let j = 19.5 + r. Let u = 44 + j. Which is the smallest value? (a) -2\/11 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58204451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827*f = 831*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 554678328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*x - 9*x - 110. Suppose x*t - 3*t = 11998. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 56 - 171 = -2*k, -3*k + h = -164. Calculate the smallest common multiple of 9 and k.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/192*4\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (-18)\/14 + 6\/21. Let i be (-1)\/3 + (-26)\/(-6). Determine n so that n + n**i - 2*n**4 - 5*n**4 + t*n**2 + n**3 = 0.\nAnswer: -1\/2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 + 78 = -3*x. Let s = x + 257. Let n = 166 - s. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10267 - -10286. Let f = 0.7 + -3.7. Let n = f + 1. Which is greater: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 + 4ed?\nAnswer: 4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 4:29 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 + 1.3. Let r = -213 + 2767\/13. Let k = -2.8 - -0.8. What is the closest to k in -1, x, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 8 = -2*s. Let r be (-1 + 2)*(-58)\/s. What is r rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 + -2. What is the nearest to z in 2\/9, -3, 9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 5662 = 6091. Let o = -318 + g. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 4*c**3\/3 - 2*c - 3. What is the remainder when 38 is divided by u(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(56\/7)\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 62*q - 895. Let r be x(39). Solve 0 + 3\/2*j**3 + 6*j - 6*j**r = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7381812 times 7?\nAnswer: 51672684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2. Let t(y) be the first derivative of 0*y + 0*y**3 + 1 + 1\/24*y**4 - y**2. Let w(u) be the second derivative of t(u). Calculate j(w(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*c + 312 = f, 5*f = 4*c + 768. Let v be (f\/36 + -4)*3. Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**3 - 2*j**2 + 3*j - 3. Suppose 7 = 3*r + x, -x - 5 = -3. Is v(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**3 + 0*q**2 + 0*q**2)*(23 + 59 - 136) to the form p*q + i*q**3 + r*q**2 + h and give i.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 2 s when four letters picked without replacement from {l: 1, i: 2, s: 4, u: 2, e: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2. Let z = 73\/170 - -6\/85. Let b(s) be the first derivative of 0*s - 3 - z*s**2. Give o(b(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 2102?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/9380 and 93\/30016?\nAnswer: 150080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4764)\/88 - ((-12054)\/308 + 39).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24571 + 24570.9984503. What is y rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704240 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/5043 and 32\/615.\nAnswer: 25215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5173.3148 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -5\/14 (b) -0.096 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*l + 22, -a - 1 = -5*l - 26. Suppose -2*p + a*p = 6. Suppose 0 = -p*o + 6*o - 36. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-777) - (-30 - 37770\/(-1260))\/((-2)\/8).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*g - 15 = 11, -4*l + 3*g + 25 = 0. Let r be 3 + (l - (4 - 2)). Solve -8 = -2*s + u, u - 2 = -r*s - u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -89*r**3 - r**2. Let d be i(-1). Let x = 134 - d. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456 = -n + 6*a - 399, -12*n - a - 5 = 41 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5002 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-14))**(-6)*p**(-1\/17)*p*p*p**(13\/5) assuming p is positive.\nAnswer: p**(-7264\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012738383 to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -c7 (base 15) in base 4?\nAnswer: -2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 666, 32, 5 in ascending order.\nAnswer: 5, 32, 666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*o - 130, -5*d - 2*o + 221 = -6*o. Find the first derivative of d + c - 14*c**2 + 38*c**2 - 21*c**2 wrt c.\nAnswer: 6*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 6*w**2 + 23*w - 1. Let p(b) = 2*b**3 - 5*b**2 + 22*b - 1. What is -4*p(h) + 3*x(h)?\nAnswer: -2*h**3 + 2*h**2 - 19*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 7*v**2 + 11*v - 5. Let h(y) = 5*y**3 - 35*y**2 - 56*y + 24. Let j(r) = -11*c(r) - 2*h(r). What is j(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 10. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -50762307 and 1.3?\nAnswer: 50762308.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a microgram in nanograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 11 = -2*t - 12, -3*o + 19 = -t. Let p = 11 - 9. Suppose 0*c - 70 = -p*c. Calculate the highest common divisor of c and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106413 + 156968. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*u = 425*u + 50. Let i(g) = -65*g - 69. What is i(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 8 + 6 - 2 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/12837 and -95\/68464.\nAnswer: 205392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u + 11*u**2 + u + 16*u + 45*u.\nAnswer: 11*u**2 + 51*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -8. Let a be 0\/(6\/2) - t. What are the prime factors of (12\/(-9))\/(2\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.5, -29, -4, 2\/9 in descending order.\nAnswer: 0.5, 0.3, 2\/9, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24451 + 24471.022. Let w = s - 0.022. Let f = w - 19.928. What is f rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -3*l + 5*p - 17, 0 = 5*l - p - 65. Solve -4*m = -l, 15 = i + 2*m + 3*m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 3*f + 37, -5*w + 1841*f + 44 = 1845*f for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1632 and -137\/24480.\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50*(8\/(-10) - (-39)\/30) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44088659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 164 = -166 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**2 + 3*o - 2. Suppose 6*f + 10 = f. Let v be y(f). Solve 0 = -r + 2*r - g + 4, g = -4*r - v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/217 and -87\/56?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 180*9.2489\nAnswer: 1664.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (792*b - 3601*b - 14*b**3 + 12*b**3)*(-242 + 9*b + 242) to the form u*b**3 + y*b**4 + p*b**2 + m*b + a and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3581 divide 62946306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2174001 is divided by 14993.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/19 - -25\/38. Let i = -31.4 + 31. Let a = 2860\/9 - 318. What is the nearest to z in 3\/5, i, a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 8:53 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqsaqyyqqsqqds. What is prob of sequence aq?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 1)*(4*y - 5*y + 0*y) - 3*y + 6*y - 2*y - 3*y + 0*y + 4*y)*(-6*y**3 + 5*y**3 + 2*y**3 + 2*y**4).\nAnswer: 6*y**5 + 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3487562661?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a2b7 (base 12) to base 15.\nAnswer: -74a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 205.43 - 294.4. Let u = 88 + r. Let l = u - 0.03. What is the second smallest value in l, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10234 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2) + (-40479)\/(-618))\/(-4).\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, r: 4, u: 1, z: 4}. What is prob of picking 1 u, 1 r, and 1 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -464396, -928689, -1392996, -1857323, -2321676, -2786061, -3250484?\n\"Answer: -p**3 - p**2 - 464283*p - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = d + 12, 0 = d - 3*l - 4 - 9. Let k(q) = -52*q - 102. Let w be k(d). Solve -3 = 2*a - i, -4*a = -7*a + w*i - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffccupcvccfcccc. Give prob of sequence vf.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -8105\nAnswer: 4\/8105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10*u**3 + 232*u**2 + 56*u + 17. Give a(-23).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1058130 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 157*h + 2215. Let v be w(-36). Which is the fourth biggest value? (a) -3\/2 (b) 0 (c) -3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) 0.56 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*g - 395*g + 3*o = -3, 0 = -3*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.24, 10.44, 0.1 in ascending order.\nAnswer: -0.24, 0.1, 10.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -965*x - 216*x - 11810 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 17*q**2 - 735*q + 897. Give t(42).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -59\/7 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 6:40 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.5 and -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -43. Let z = x - 22.999948. What is z rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 4:53 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -2*f**3\/9 - 4*f**2 - 40*f\/3 + 97. Factor l(c).\nAnswer: -2*(c + 2)*(c + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/5)\/i**(3\/2)*(i\/(i*i*(i\/((i\/(i**(1\/4)*i))\/i))\/i*i))**(-40) assuming i is positive.\nAnswer: i**(1289\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 1219*x**2 + 45*x - 6. Let r(y) = -5*y. Determine 9*r(u) + t(u).\nAnswer: -u**3 + 1219*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.920001 and 6.\nAnswer: 2.079999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 + 0 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -0*p - 5*p. Let i = 15 + p. Suppose a = 3*a - i. Solve a*w - 5 = -2*m + 4, 5*w = 2*m + 31 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935060 is divided by 234.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 10:11 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/7)\/(22*(-22)\/8470).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2283?\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*3)**2 - (sqrt(21) + sqrt(21)*-3)\/sqrt(3).\nAnswer: 2*sqrt(7) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 33*j + 1. Suppose -36*y = 40*y - 109*y + 43*y. What is m(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 12:48 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -0.1, 21, -1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6452011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2011 + 2586. What is the highest common factor of i and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**4*u - 335826*o**3 + 3*o**2*u + 2*u + 7955 wrt o?\nAnswer: -48*o*u - 2014956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, t: 2, s: 1, v: 2, k: 5}. Give prob of sequence svnk.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33274 = -229*x + 3275 for x.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 124, 1 in decreasing order.\nAnswer: 124, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*y**4 - 465*y**3 + 135*y**2 = 0. What is y?\nAnswer: 0, 3\/10, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 5. Let i be n(0). Let j be 1491\/(-35) + -6 - (-2)\/i. List the prime factors of 5 - (-1)\/((-1)\/j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -577 * 0.5\nAnswer: -288.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.5 + 21.5119. Let m = -45 - -45.015. Let s = m - i. Round s to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015761 rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 - -3 - (-2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 1)*(1 - 1 - k) - 10 - 6233*k + 6240*k - 5)*(-k**4 + 0*k**4 + 2 - 3).\nAnswer: -11*k**5 + 15*k**4 - 11*k + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231770038?\nAnswer: 2, 115885019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2134311*x**3 - 2009449 wrt x?\nAnswer: 6402933*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = -226*j + 196*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 2*f**2 + f**2)*(4*f - 3*f + 3*f)*(-13 - 13*f + 13 + (1 + 0 + 1)*(5*f - f - 6*f)).\nAnswer: -272*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1460 + 1626. Let u(g) = 11*g**3 - g**2 + g - 1. Calculate the lowest common multiple of u(1) and n.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let b(l) = -l**3 + 41*l**2 - 118*l + 152. Let m be b(38). Let k(r) be the second derivative of 0*r**2 - 1\/3*r**3 + m - r. Give k(j(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1 - t**2 - t + t. Let h(w) = w**3 + 3*w**2 - 3*w + 4. Let j be h(-4). Let f be q(j). Which is smaller: 1\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(sqrt(2352) + -1 + -4 + -1).\nAnswer: -18 + 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -420871*j**3 - 10*j**2 - j - 19794?\nAnswer: -2525226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmm. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-13))\/a**6)\/((a\/(a*a**(-3\/2)*a))\/a)**(41\/3) assuming a is positive.\nAnswer: a**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/8)*s*s)**(-16)*s**(-6)\/s**(-7) assuming s is positive.\nAnswer: s**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t + 0*t + 11*t)*(-3031 + 90 + 1778 - 4961 - 3790) as v + l*t and give l.\nAnswer: -158624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 38, 44, 52, 62, 74, 88?\n\"Answer: t**2 + t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56900 divided by 6?\nAnswer: -28450\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 8*k**2 - 18*k + 75. Determine n(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -204754663 rounded to the nearest 10000?\nAnswer: -204750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2934.\nAnswer: 2\/1467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 584487470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 30*h - 2. Let q be x(-1). Let y = 30 + q. Let n(o) = 2 - o**3 - 5*o - 1 + 4*o - o**2. Let u(g) = 2*g**2 - 3. Calculate y*n(d) - u(d).\nAnswer: 2*d**3 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z + 5. Let l(w) be the first derivative of -w**2\/2 - 5*w - 4. Let v be l(-8). Does 17 divide s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 362769 = -56*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -250 + 192948 - (-34)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -44. Suppose 3*p - 2*p = 5*v - 15, -t*v + 16 = -2*p. Solve -w - 15 = 2*w, -5 = -v*l + 3*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 8 = 2*s, s - 2*s + 11 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2297712?\nAnswer: 2, 3, 47869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2 - 2*u - 4. Let s(d) = -3*d**2 - d - 3. Let h(o) = 2*k(o) - 3*s(o). Let w(j) = j**2 - 4*j + 1. Let f be w(4). Give h(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 16 = -3*h. Let u be 2\/(-4)*h\/8. Let b = 2 - 1. Is b > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51845 (base 11) to base 12\nAnswer: 37881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 10*f**2 + 10*f - 11. Let o be j(-11). Suppose o = -2*x - 5*m + 617, -7*m + 637 = 2*x - 6*m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**2 + 2*x**2 + x**2 - 10*x**2 - 4*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*y - 4*f - 84, 2*f - 4 = 0. Let q = 133 + -80. Let k = q + -51. Calculate the smallest common multiple of k and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4*16\/(-2). Let j(z) = 2*z - 6. Suppose -5*k - 3*n = -27 + 4, 17 = 3*k + 5*n. Let l be j(k). What is the greatest common factor of l and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2*o + 5)*((3 - 5 + 1)*(5 - 3 - 3) - 4 + 4 + 5 + (4 - 3 + 0)*(6 - 4 - 3) + 5 + 3 - 5 - 2 + 1 - 1) as d*o + m and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -3*o**2\/2 + 48*o - 9. Let k be l(15). Solve 0 = k*g + 5 + 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 5*z + 5*z - z + (-z + 4*z + 0*z)*(0 + 6 + 3).\nAnswer: 26*z - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -2*h**3\/7 + 5*h**2\/7 - 4*h\/7 - 5. Factor d(y).\nAnswer: -2*(y - 1)*(3*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 19*x**3 + x + x.\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w + 282 = 5*u, -3*w + 4*u + 255 = 0. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:22 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*f - 15 = 0, -3*d = -6*d + 4*f - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018880795 to 4 dps.\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1204, 1190, 1176, 1162, 1148?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*q**2 + 127*q**2 - 2331*q + 130*q**2 - 8.\nAnswer: -2*q**2 - 2331*q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 75430*m - 8797932.\nAnswer: -2*(m - 37598)*(m - 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5443, 10861, 16279, 21697, 27115, 32533?\n\"Answer: 5418*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87636 by -57.\nAnswer: 29212\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*a**3 + 45748314*a**2 - 45748316*a**2 - a + 73*a**3.\nAnswer: 163*a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 16716*n**2 + 23285388*n + 10812181828.\nAnswer: 4*(n + 1393)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 4*l - 28, 5*r - 749 + 728 = -3*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276100 is divided by 233?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/19, -4, -5, 0.2, 20 in decreasing order.\nAnswer: 20, 16\/19, 0.2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 10:34 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 17422.\nAnswer: 1045.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6*-592\nAnswer: 3552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20396061*h + 9890 = -20396491*h for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/109 in -4\/11, -2\/11, 0.03, -2\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 6*f**2 - 52*f - 94. Give g(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7518*y + 66 + 7639*y - 22678*y - 66 + 26*y**2 + 7521*y.\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45.1971 + 0.0029. Let u = t - 45. Let f = -2.96 - 0.04. What is the nearest to f in u, 2, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {v: 3, x: 2, b: 1, d: 1, g: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 6*c**2 + c + 8. Let r be h(5). Let x be (0 + 2 - 2)\/(r - -13). Suppose -2*g + x*g + 48 = -2*b, -2*g - 4*b + 36 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eseesesssssssessss. Give prob of sequence ss.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 1. Let o(h) = -3. Give 2*o(c) + 6*z(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4584, -0.2, 2\/43, 18?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363)*-6 + 0 + (-4 + sqrt(363) - sqrt(363)) + -5.\nAnswer: -66*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/6*76\/(-133))\/(2\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -243 + 260. Suppose -b*y = -14*y - 6. Solve 5*q + 4 + 17 = y*x, q - 5*x + 18 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide (-32288)\/12*27\/(-18) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 2*v**3\/15 - 8*v**2\/5 + 14*v\/5 - 27. Find q such that l(q) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*l - 264*l = r - 0*r + 5, -4*l + 6*r = -28 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.97 + 1.07. Let h = 229 - 226.98. Let i = 0.02 - h. What is the third biggest value in 0.7, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-159)\/(-24) + -95*111\/703.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*l - 4427 = 6259 + 2522 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, l: 8, o: 1, s: 2, q: 1}. Give prob of picking 1 o and 2 s.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58133669 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:47 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 828 = 36402*m - 36448*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*r**2 + 42*r**2 - 152*r**2 + 45*r**2 + 46*r**2 + 63*r**2 + 48*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2695*r + 31996 = -42061 + 17462 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 3819*o**2 - 1250865*o - 22408353.\nAnswer: -3*(o + 19)*(o + 627)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5968290755008 + 4068398790674361689\/681669. Let o = n - -2\/25247. Find the common denominator of o and 4\/22 + (-372)\/(-198).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 2. Let r = -1\/796 + 801\/3980. What is the second smallest value in h, -14, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 2 + 2*s + 1\/2*s**2 - 4\/3*s**3 + 1\/2*s**4. Let k be u(2). What is the closest to 2\/5 in k, 6\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2915, 5829, 8743, 11657?\n\"Answer: 2914*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(9\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4)**(-11\/4)*(j*j\/j**(-1\/12))**(-1\/5) assuming j is positive.\nAnswer: j**(-137\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v**2 + 6*v - 8. Let j = -194733 + 194739. Let n(w) be the third derivative of w**5\/3 + 17*w**4\/24 - 23*w**3\/6 - w**2. Calculate j*n(r) - 17*q(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*(324\/(-675))\/(20\/50).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32339 is divided by 588.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*y - 1)*(4*y**4 + y**4 - y**4)*(8 + 4 - 1).\nAnswer: -176*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**3 + k**2 - 3*k + 4. Suppose b - 6 = -2*b. What is the units digit of s(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -122591*l - 49631 wrt l?\nAnswer: -122591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/3 + (-16)\/(-12). Let p be z - 3*4\/(-6). What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 - 15 + 16010*c**3 - 3*c + 5*c**2 + 4*c - 16011*c**3 to the form w + s*c**3 + u*c**4 + q*c + j*c**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 + d - 1. Let h be b(1). Which is smaller: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006021538 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 1 - 6*m**3 + 42*m**3 + 9*m**2 + 18*m**3.\nAnswer: 54*m**3 + 8*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let y = 5 + -3. Suppose -4*g - 4*a + 287992 = d, -a + 2*a + y = 0. 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: Suppose 0 = 9*v - 4*v - 35. Let y = v + -3. Suppose 0 = 3*b - y*b + 6. What is the greatest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109957023*h**3*i**4 - 106453533*h**3*i**2 + 2*h**3*i - i**5 wrt i?\nAnswer: 2638968552*h**3*i - 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2670.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1585 (base 12) to base 6.\nAnswer: -15445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 8 - (-8 + 2)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1354 + -1352. Solve 125*g - 14 = -s*h + 129*g, 5*h + 10 = -5*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w**4 - 584*w**3 - 5412*w**2 + 2264*w + 3744 = 0.\nAnswer: -36, -13, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165535072.\nAnswer: 2, 379, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 15*o**2 - 14*o + 3. Let j be k(-14). Let y(t) = 18848*t + 7. Let r be y(j). Suppose -m + 28449 = -r. What is m rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 w, and 1 r when four letters picked without replacement from {r: 1, w: 2, m: 3, y: 3, h: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 48 = 5*v, -8 - 12 = -4*v + 3*d. Solve 4*z - 2*z = -v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 (base 6) in base 15?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15906089?\nAnswer: 15906089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33385, 2, -1 in ascending order.\nAnswer: -33385, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1110 - -111?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -168, -344, -520, -696?\n\"Answer: -176*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3102 + 3188.15. What is b rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 23*i**2 - 32*i - 391. Calculate s(25).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 245?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5160355*0.05\nAnswer: 258017.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 78006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 6*c + 5, -2 = 2*t + 4*c. Let a(k) = -k**2 + 1. Let u(f) = f**3 - 4*f**2 + 6. What is t*u(g) - 5*a(g)?\nAnswer: g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*p + 47422 = 47437, -2*p = 27*c + 35 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 2:08 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42, -148, -332, -600, -958?\n\"Answer: -b**3 - 33*b**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2 + 1592*l - 3180 = 0 for l.\nAnswer: 2, 1590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (1840\/96 - -2)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 16*f + 1. Let s be o(-2). Let h = s + 34. Factor -15*m**5 - 3*m**4 - 2*m**4 - 13*m**5 + m**h + 32*m**5.\nAnswer: m**3*(m - 1)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13455203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/151 and 20\/1359?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(3)*-5 - sqrt(12))\/(3*sqrt(484)).\nAnswer: -2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3 + 12. Let o = n - 1. Calculate the highest common factor of o and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98 and 868?\nAnswer: 6076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*r - 52 - 259 = 18 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5450 divided by 5\nAnswer: -1090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 0, -2*a - t = -2 - 5. Let n(u) = 2 - a - u + 1. Let g(s) = 3*s. Calculate n(g(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 - (-34 - -28)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -25 + 99 + -70 + 34.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 - 6 - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 3*t**2 + t. Let v be i(-2). Let r = -218 - -282. Suppose -3*j - 3*z + 84 = 0, -r = -3*j + v*z + 15. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211035 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 173, 283, 285, 125, -251, -897, -1867?\n\"Answer: -9*g**3 + 173*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 153470817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 8467 in descending order.\nAnswer: 8467, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, k: 2, r: 6, l: 1, f: 2}. Give prob of picking 1 l, 1 b, and 1 f.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-325)\/(-4))\/(-25))\/((-5)\/(-20))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -71, -138, -207, -278, -351, -426, -503?\n\"Answer: -i**2 - 64*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71070 and 1626.\nAnswer: 19259970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -56, -101, -162, -245, -356?\n\"Answer: -f**3 + f**2 - 31*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3956, 14, 9.\nAnswer: -3956, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 = 94*d + 67*g - 65*g - 338, 4*d + 10*g = 14 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*u + 2*t, -5*u + 4*t + 30 = -0. Suppose u*w + 0 = 10. Suppose -w*y - 75 = -5*g - 30, 5*y - 18 = -2*g. Solve 0*a = 3*a - g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 75 = -9. Find the third derivative of b*p**3 - 17*p**2 - 5*p**3 - 10*p**3 wrt p.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, 8, -5 in descending order.\nAnswer: 16, 8, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.015356405\nAnswer: -0.015356405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*l - 15, -5*s - 15 = -3*l - 0. Let n(w) = 18*w**2 - 10*w. Let z be n(3). Let k = 134 - z. Solve s = g - 4*q + 11, 0 = -k*g - q - 1 - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2817*d + 2580*d + 396235 = 99400 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00218712112 to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 212413 (base 5) in base 7?\nAnswer: 30042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3354 and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -3\/7, -3, 39, -1, -1\/3 in descending order.\nAnswer: 39, 34, -1\/3, -3\/7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 7*q + 41. List the prime factors of v(12).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12782 + 6283 = -554*j + 6007 - 9102 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 25 = -2*i + 5*k, -3*i = -4*k - 20. Let u be 13\/91*i - (-2 + 0). Let d(c) = -4*c**3 + 4*c**2 - 3*c + 2. Determine d(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1322890.\nAnswer: 2, 5, 263, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -361249 take away 1.224224?\nAnswer: -361250.224224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -20. Let s = -5 - -9. Suppose -4*j + 37 = 5*l, -3*j + 4*l = -0*l + 11. Solve j*m - x + y = 5*m, -2*m = -s*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, 0, -32, 28 in ascending order.\nAnswer: -32, -12, 0, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15051, -15055, -15059, -15063, -15067, -15071?\n\"Answer: -4*f - 15047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -372 + 518. Suppose -h + 181 + t = -2*a, -5*h + a = -1635. What are the prime factors of h?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-130)\/(-325)*(-428965)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002245225454 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 473560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 9*t**2 - 4*t - 82. What is k(0)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*p + 145 = -105. Let u = 1 - 11. Let m be 4\/u + 16\/(-10). Sort 5, -1, p, m in increasing order.\nAnswer: p, m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 1295*z - 69 = -1288*z, -4*z = 5*x - 47 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9*b = 20. Let l be 94*(-1 - 1)\/b. Let u = l + 0. Calculate the remainder when u is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, e: 3}. Give prob of sequence keke.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 679191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/3)\/((-3)\/(-36)). Suppose -2 = 2*c + 2*h - 24, 5*c - 2*h = u. Let q = c - 8. Put -1, q, 0, -2 in ascending order.\nAnswer: -2, -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2\/7 (c) -40 (d) -2\/9 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-96)\/(89 + 1447).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*h, 0*r - r + 19 = 3*h. Suppose 0 = 2*j - r - 1. Let u = 28 - j. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/5 + 19882*f\/5 + 25929936\/5 = 0.\nAnswer: -8397, -1544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1165*b**2. Let r(k) = -12*k**2. Give p(r(g)).\nAnswer: 167760*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -85*o**4\/3 - 272*o**3\/3 - 142*o**2 - 3. Find the first derivative of a(s) wrt s.\nAnswer: -680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -2*r**7\/147 - 106*r**6\/105 - 904*r**5\/35 - 776*r**4\/3 - 24992*r**3\/21 - 19360*r**2\/7 + 5*r - 194. Solve d(o) = 0 for o.\nAnswer: -22, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wdddddrwrwrdwdwd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 656 + -646. Calculate the lowest common multiple of s and 152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 252\/56 - (-3)\/(-2). Suppose 4*x - 7*x - 4*s = -6, 39 = 5*x - j*s. What is the lowest common multiple of x and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77 + 86 - (21 + 1)) + 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*sqrt(567)*-1.\nAnswer: 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*k**5 + 14*k**5 + 15*k**5 + ((2*k**2 - 2*k**2 - k**2)*(2 - 2 - 2*k) - 4*k + k**3 + 4*k + 0*k - 13*k**3 + 0*k)*(-2 + 3*k**2 + 2).\nAnswer: -24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196157*i**6*m + 244*i**6 - 19*i**2 - 62*i*m + 2922*m wrt i?\nAnswer: -23538840*i**3*m + 29280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 78 + 13)*(2*y - y + y)*(5 + 2 - 5) as p + t*y and give t.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duq when three letters picked without replacement from qydquu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 25 + 15 = 0. Let h(b) = 2*b**3 - 7*b**2 + b - 9. Let f be h(5). Suppose -v*k + f = -77. What are the prime factors of k?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*p + 83. What is the smallest common multiple of p and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-5 - -8 - (-20 + 38))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/189 + 5\/(15\/2).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**5\/20 - b**4\/12 - b**3\/3 - 6*b. Factor m(r).\nAnswer: r*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -4. Suppose i + 4*u = -1932, -a*i - 3153 - 2643 = -5*u. Let c = -19241\/10 - i. What is the common denominator of -97\/10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -58, 62163, -3 in descending order.\nAnswer: 62163, -3, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.001 * 5.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82561823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.019*11.\nAnswer: -0.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**3\/3 + 32. Let s(k) = -k. Let a(t) = -2*t. Let z(i) = 5*a(i) - 6*s(i). Give z(b(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19.41432t?\nAnswer: 19414320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -0.4 (c) 79 (d) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*i**4 + 9*i**4 - i**3 + 17*i**4 + 29*i**3.\nAnswer: -2*i**3*(i - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -22*f + 20250. What is the lowest common multiple of f and 900?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2377 or -2376?\nAnswer: -2376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (24 + -13 - (8 + -18)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124266847.00357 + 124265992. Let l = j - -855. Round l to four dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 0.1 (b) -0.2 (c) -4\/3 (d) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -68, -66, -60, -50, -36, -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**6\/180 - o**4\/12 + 9*o**3\/2 + 44*o. Let v(t) be the second derivative of a(t). What is v(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, n: 1, s: 9, k: 2}. What is prob of sequence gsg?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 2. Suppose 0 = 2*x - 14 + q. Solve 4*w = x*d, 0 = 3*w + 2*d + 2*d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + 1. What are the prime factors of 2\/5 + 429\/i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -2*i + 348, 2*i - 104*g + 207 = -101*g - 47 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 112 = -3*x - 4*u, 4*x + 71 = 3*u. Let m be (12\/x)\/((-1)\/15). Suppose 29 = 4*w + m. 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 highest common factor of 44 and 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1771, -1449, -911, -157, 813, 1999?\n\"Answer: 108*a**2 - 2*a - 1877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5\/5 + 132*y**4\/5 + 1774*y**3\/5 - 6216*y**2\/5 + 4312*y\/5 = 0.\nAnswer: -14, 0, 1, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Suppose 32 = b*y - 3*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 11:02 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-560))\/(6\/(-164)). Let j = -3\/28 - b. Suppose 3*v - 16 = -5*d, -18*v + 15*v + 4 = -d. What is the closest to j in -2\/3, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6693074 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98128817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0314 - -0.0336468. What is y rounded to five dps?\nAnswer: 0.00225","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2587 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) -14 (c) -6\/11 (d) 0.6 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 209*u**2 - 15*u**3 - 111*u**2 - 108*u**2 + 4*u**3 - u**3 - 2*u**3 + (-u + 0*u - u)*(u**2 + 0*u**2 + 0*u**2) - 1 + 1 - 2*u**3.\nAnswer: -18*u**3 - 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 33346 = 31091 + 2388. Is b a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1389.6 + -1389.6007767. What is j rounded to 5 decimal places?\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -21. Let x(k) = 1388*k**2 - 6*k - 5. Let c be x(b). Suppose c + 40073 = -4*f. What is f rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*m - 5, -2*m + 8 = -2*b + 6*b. Let c be 1\/2*12\/m. Solve c*x - x - 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*h**2 - 121*h**2 + 5849*h**3 + 158*h**2 as c*h + a*h**3 + m + f*h**2 and give a.\nAnswer: 5849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -38. Suppose -z - 2*z = -n. Let r = z - 8. Calculate the remainder when r is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 - -135. Let d = r + -63. Solve -13 + d = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o - o + 2 - 4 + 3. Let p be q(-19). Determine a, given that p - 64 + 7*a - 3*a + 2*a**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**7\/2520 - y**6\/360 - y**5\/40 - y**4\/8 - 23*y**2. Let u(p) be the second derivative of j(p). Factor u(c).\nAnswer: (c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - ((-4)\/40)\/((-3)\/13092). Let i = p - -39881\/90. What is the common denominator of -11\/14 and i?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 513\/912 - (-1)\/(-16). Factor 1\/6*a**3 + f*a - 1\/6 - 1\/2*a**2.\nAnswer: (a - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63905\/51 + -1253. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*-4*(-4)\/28?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h**2 + 7. Let j = 41 + 42. Let p(z) = 46*z - j*z - 3 + 37*z - 7*z**2. Calculate -3*g(l) - 7*p(l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-1) - 10\/30*-21. Let f be 25\/5 - (-2 - (j + 2)). Solve 4*b = 4, 4*q - 3*b = -8*b - f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 18*a = -17*a + 5, 15 = -y - 3*a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 2. Suppose 0 = 2*c - 34 - 6. Suppose -t*a - 2*j + 9 = -125, -5*j = -c. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -124, -120, -116, -112, -108, -104?\n\"Answer: 4*f - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 33771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -522729420 by -5.\nAnswer: 104545884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u = 0. Suppose 0 = -u*d - 2*d + 4. Suppose -d*y + 333 = -r, -5*y = -3*y - 3*r - 323. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48098897 divided by 48098897?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.259 and 0.6568261.\nAnswer: -7.6021739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*f = -2*f + 2*p + 21, -16*p + 152 - 105 = 101*f - 660 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-2\/9)*b))**(-21)\/(b**(-5\/6)*b**(7\/4)) assuming b is positive.\nAnswer: b**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3370 and -3.838.\nAnswer: -12934.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 3*u + u + (0 + 0 - u)*(-2 + 3 + 0) + 69*u - 6*u + 9*u.\nAnswer: 70*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4\/r*r**7*r**3*r**4 assuming r is positive.\nAnswer: r**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 2*a. Let o(t) = 3*t**2 - 29*t - 1. Give -o(f) + 6*w(f).\nAnswer: 3*f**2 + 17*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 908*p + 150840 = -1780*p + 1253*p - 241*p for p.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 195 + 97 = 0. Let w = 374 + -346. Suppose -152 = -32*x + w*x. Calculate the remainder when p is divided by x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 30 = -5*x, 0 = 5*u - 3*x - x - 41. Calculate the common denominator of 19\/9 and (u\/(-15))\/((-22)\/(-84)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125852 + 189178. What is x rounded to the nearest one hundred?\nAnswer: 63300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + 0. Let j(x) = -a - 4 - x + 18. Let u(l) = -10*l**2. Give u(j(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**5\/3 - 2*f**4\/3 - 4*f**3 + 40*f**2\/3 - 32*f\/3 = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -4, 3, 11 in descending order.\nAnswer: 11, 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 3*i**2 + 2. Let o be v(3). Suppose -o*b + 34 = -b. Calculate the remainder when b is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*z - 193 + 559 = -561 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4482, -9005, -13528, -18051?\n\"Answer: -4523*u + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 4)*(6*f - f + f) - 3*f + 4*f + 2*f as w + b*f and give b.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9332 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 14.37. Let r = -30.13 - d. Let m = -30 - r. What is the second biggest value in 0.2, m, -4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/123, -20, 2\/7, -291, -0.4?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2*sqrt(176))**2 + -3)*5.\nAnswer: -160*sqrt(11) + 3525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1567658 by -783829.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -168*r + 9. Let t be p(-4). Let a = 2113\/3 - t. Calculate the common denominator of 46\/9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**3 - 370*s**2 - 4460*s + 10440 = 0. What is s?\nAnswer: -58, -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 1 + 1)*(-5*s + 4 - 4) + (0 + 0 + 2)*(4*s - 2*s**2 - 4*s).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 8*w**2 - 11*w - 13. Suppose -d + 2*d + 9 = 0. Let b be u(d). Suppose -4*c + 0*q + q + 11 = 0, -5*q = -b*c + 25. Solve -8 = -c*y + 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 304*s**5 - s**3 + 97*s - 12?\nAnswer: 6080*s**3 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n - 9653278. Let t = -1773361 + n. What is t rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -52448285868229 and -5?\nAnswer: 52448285868224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -103203*y - 42394 wrt y?\nAnswer: -103203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121.59 - -121. Let a = m + 0.589984. What is a rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 7*o - 59. Let j be v(-12). Is 54944\/16 + (6 - j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -25*h**3 + 2*h**2 + 5*h + 10. Let v be (-28)\/(8 - 4) + (3 - 1). Let x be m(v). Let r = x - 31479\/10. Find the common denominator of 37\/38 and r.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.99 - 0.01. Let c = 4.1 + y. Let v = -65.06 + 65. What is the biggest value in -1, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 65686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2171 (b) 3 (c) 40 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m = 654 + 87. What is the remainder when 51 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 11*x**2 + 2*x - 15. Let k be q(11). Let i(v) = 0*v - k*v + v + v. Let n(o) = 3*o. What is n(i(z))?\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 973*x**2 - 3*x + 1 - 4.\nAnswer: -973*x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 0, -4020 in descending order.\nAnswer: 4, 0, -4, -4020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1980) - -2*sqrt(1980) - sqrt(330)\/(sqrt(54) - sqrt(6)))\/((sqrt(891) - sqrt(891)*-2)*2 - sqrt(891)))**2.\nAnswer: 245\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 996\/5? (a) -0.4 (b) 1 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127731446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 8*o + 3. Suppose -5*y - 6 = 3*n, -49*n - 5*y = -47*n - 1. Calculate j(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-96) - 86\/16*-86. What is the greatest common factor of 63 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8870781 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.597317 to two decimal places.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z**3 + 5*z**2 - 50*z - 6. Let w(x) = 29*x**3 + 10*x**2 - 99*x - 13. Let s(c) = -13*f(c) + 6*w(c). What is the second derivative of s(m) wrt m?\nAnswer: -48*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -283\/5. Which is the nearest to -1? (a) -3 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 4*h**2 - h - 2. Let d be i(-4). Suppose -13 = 7*t - 2*t + 3*z, 0 = -2*t + 3*z - 1. Let n be 8\/(-4) + 3 + -5. Put d, n, t in increasing order.\nAnswer: n, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 184*a - 183*a. Let c(y) = 9 + 33*y**2 + 30*y**2 + 4*y - y**3 - 69*y**2. Calculate c(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.7 - -2.3. Let l = c - 11.8. What is the closest to 1\/2 in l, -3, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 3.3. Which is the closest to -2? (a) -0.2 (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.72711016 - -4.81711. Let h = v + -0.09. What is h rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**2 + 1065*s - 4308 = 0.\nAnswer: -359, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.4 - -51561227294.\nAnswer: 51561227297.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/5)*(y\/(y*y**(-4\/5)))\/y)**(-12)\/(((y\/(y**8*y)*y)\/y)\/(y*y*y*y*y**(-5)))**(17\/4) assuming y is positive.\nAnswer: y**(167\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -54. Suppose -i - 5*w = i + 19, w - b = -2*i. Let a = 5 - i. Solve 2*u = -4*h + 18, a*h + 2*u = 5*h - 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -401, -396, 3, -2 in descending order.\nAnswer: 3, -2, -396, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in 139.1, -0.064, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 10*n - 8. Let x(o) = -4*o**2 + 8*o - 7. Let d(v) = 4*j(v) - 5*x(v). Let f(h) = -8*h**2 - 1. Calculate 2*d(i) + 5*f(i).\nAnswer: -8*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 435 = -3*p, -3*n - p = -0*p + 443. Suppose 5*z = -x + 19, x = 3*z + 2*z - 21. Calculate the smallest common multiple of 6 and (27 - x)*(-42)\/n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-12) + 41\/30. Let l be (-6)\/9 + 208\/195. Suppose -2\/5*s**3 + l - 6\/5*s + v*s**2 = 0. What is s?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 19 + 2 - (60 + 33)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34\/159 + -19\/159. Which is the second biggest value? (a) -0.0127 (b) -1 (c) -5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**6\/180 + j**5\/12 - j**4\/2 - j**3\/3 + 62*j + 226. Let w(g) be the third derivative of l(g). What is p in w(p) = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/26 or -1102654?\nAnswer: -1102654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from ivvvvvvaivppivav.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 4*p + 8. Let c be y(-5). Suppose -c*s - 773 = -2093. What is s rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1906719 + -1906716.100106. Let p = -2.9 + j. What is p rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4840620 is divided by 1223.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2 - 21*d + 46 = 0.\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 311 = -295. Let -33\/2*l**2 - 5\/4*l**3 - 2 - 11*l + 25\/4*l**f = 0. Calculate l.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259783.\nAnswer: 259783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b93 (base 16) in base 15?\nAnswer: -17acb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.7? (a) 1\/7 (b) -3 (c) -2\/9 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 - 4.94. Sort 4, c, 2 in decreasing order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22902027601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i = -6*i. Sort i, -34, -4 in descending order.\nAnswer: i, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 356491472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -6*t - 16. Let q = -15 - -30. Calculate the remainder when q is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*(s\/((s*s**6)\/s*s)*s)\/s*s)**(2\/103))**(-15))**(-27))**(-32\/3) assuming s is positive.\nAnswer: s**(34560\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + -3*sqrt(96) - sqrt(96) - sqrt(96))\/sqrt(6) - sqrt(80)\/sqrt(320))\/(sqrt(968) + sqrt(968)*4 - (sqrt(8) - (sqrt(32) + sqrt(8)))*-1).\nAnswer: -33*sqrt(2)\/424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 276 - 1928\/7. Let h(f) = -f**2 + 8*f - 3. Let r be h(8). Let z be (3 - 1) + 10\/r. Put o, 4, z in decreasing order.\nAnswer: 4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(3\/2)*w))\/(w**(-4)\/w)*w**3*((w*(w*w**(-2\/11))\/w)\/w)\/w*((w\/(w\/w**(-8)))\/((w\/(w*w\/w**5))\/w*w))**(17\/5) assuming w is positive.\nAnswer: w**(-3903\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**5\/30 - o**4 - 59*o**3\/6 + 206*o**2. Let n be c(-8). Solve -n*j + 7*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-4))\/(6069\/6936)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40.3 - 2.7. Let a = n + 44.04. Let m = a - 1.16. Sort 0.4, m, 5 in ascending order.\nAnswer: m, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 0, 3 in ascending order.\nAnswer: 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3026 = -3*s - 114*b + 109*b, -s - 1032 = -3*b. Is s less than -1017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -4 + 1*-2. Suppose -n + 2*w = -u*n - 10, 2*n = 3*w + 22. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3963.513254 to 1 dp.\nAnswer: -3963.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.09 + -0.09. Let s be (-282)\/(-141) + 2 + (-42)\/10. Let q = -152.9 - -153. Which is the closest to s? (a) x (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -10 + (-2 - (1 + -5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 2*g + 6. Let x be f(-3). Calculate the remainder when -2 + -1*58\/(-2) is divided by 4\/(-2) + x - -14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56323471.\nAnswer: 53, 1062707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1450203849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 458, 453, 446, 437?\n\"Answer: -g**2 - 2*g + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 144 = -46*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1. Let r(s) = 2*s + 2. Let z(a) = 4*g(a) + r(a). Let k(d) = -1. Give -6*k(c) + 3*z(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204042765?\nAnswer: 3, 5, 13602851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1673882 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u - 16. Let m(s) = -35*s + 1. Let c be m(-1). Suppose -16 = 34*n - c*n. Let w be j(n). Solve -4*b - 5*i = -3, -2*b - 4*i = -w*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 1. Let w be y(-1). Suppose w*g = 3*g. Let z(v) = v. Let b be z(g). Solve b = a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14225?\nAnswer: 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00076938744 rounded to 7 dps?\nAnswer: -0.0007694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -43. Solve 4*x - f*x = -10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -100*f**3 - 177*f**2 - 203*f - 25. Determine z(-1).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -336 - -5?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 9. Suppose -2*q = -11*a + 13*a + 132, -3*q - 188 = -2*a. Let d be 42\/(-8) + 16\/(q\/3). Determine k(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17039619 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/32817 and 85\/131268.\nAnswer: 131268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 748579 + 373534. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.50183 and 1.45?\nAnswer: 1.95183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 314\nAnswer: 314.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/9165 and -61\/585?\nAnswer: 27495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o + 14. Let j(x) = x - 1. Let s(q) = c(q) + 6*j(q). Let t be s(-8). Find the third derivative of m**5 + m**2 + 0 + t + 4*m**5 wrt m.\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + u. Let y = 0 + 4. Let o be (0 + -2)*(-38)\/19. Suppose g + o = 3*z, 2*g + 3*g = 2*z - 20. Let f(b) = -b**3 + b. Determine g*j(i) + y*f(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -436*g + 2388*g + 477*g + 16023 - 98609 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23615 + -15195. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -200, 7, 1 in ascending order.\nAnswer: -200, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 247 + -8305?\nAnswer: -8047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 37160 = 8*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3410 - -3414. Put 0, -5, -163, l in decreasing order.\nAnswer: l, 0, -5, -163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 704 = 9*p. Let m = -28 + p. Let j = -631\/4 + m. Calculate the common denominator of j and -101\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (0 + -1) - 2*-1. Suppose -k*y + 3*i - 16803 = 0, -5 = -2*i - 3. What is y rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 66, 67, 68?\n\"Answer: y + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/140 and -2*((-16)\/88 - (-5948)\/(-5280))?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 2312*i + 112 - 2309*i to s*i + y and give y.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -398\/5. Let z = 159 + -65. Let r = -89 + z. Put v, r, -1 in decreasing order.\nAnswer: r, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.0445, -1\/100, 3?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -186 from -0.547661.\nAnswer: 185.452339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153245 (base 6) to base 16.\nAnswer: -3a9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9)*g*g**(-2\/9))\/((g*g\/(g*g**(1\/4)*g))\/(g\/g**(6\/11))) assuming g is positive.\nAnswer: g**(75\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3726172 to the nearest integer?\nAnswer: 1930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*t)*(5 + 3*t - 5)*(0 - 1 - 1)*(3*t**3 - 3*t**3 - t**3).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9106348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3696*w - 2 - 3743*w + 0.\nAnswer: -47*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 373557 (base 8) to base 6\nAnswer: 2432355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -40\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 16775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2. Let p(f) be the first derivative of 0*f - 1\/60*f**5 + f**2 + 2 + 0*f**4 + 0*f**3. Let i(s) be the second derivative of p(s). Give i(n(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17729950 to the nearest integer?\nAnswer: 4211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 195*j + 41 = -196*j, -j - 641 = -154*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -2*y**3\/3 - 5*y**2 - 7*y - 1539. Calculate i(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 11:43 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(30)\/(sqrt(6)*1)))\/(sqrt(88)\/(-2*sqrt(8)*-3)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -13*k**6\/2 + 95*k**2\/2 + 46. What is the second derivative of l(o) wrt o?\nAnswer: -780*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 886 - 872 - 59\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.140265 and 2823.\nAnswer: 395.968095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (17 - 23 - 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*b + 11, -20 = 2*b + 4*u - 9*u. Let f(z) = 4*z**2 + 4*z - 6. Let j(x) = -3*x**2 - 3*x + 5. Give b*f(i) - 6*j(i).\nAnswer: -2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 172.8573156 to 2 decimal places.\nAnswer: 172.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 71353454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**3\/5 + 336*y**2\/5 + 1372*y - 1440 = 0.\nAnswer: -45, -40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -20*v**3 - 17*v**2 - 17*v - 11. Let l(z) = 7*z**3 + 6*z**2 + 6*z + 4. Determine -4*k(u) - 11*l(u).\nAnswer: 3*u**3 + 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -20*z - 4. Let f(w) = -2*w + 1. What is 24*f(k) - 2*g(k)?\nAnswer: -8*k + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7992, -15948, -23904, -31860?\nAnswer: -39816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**3\/6 - g. Let h(q) = -2*q. Give l(h(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 + 6*i + 4. Let o(a) = a**2 + 14*a - 2. Let h be o(-14). Let y be n(h). Suppose 4*d = 2*d + y. Solve 6*c = d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(5)*3) - sqrt(132)\/sqrt(6)*4)\/(2*(sqrt(18) + sqrt(18)*-2)).\nAnswer: 11*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1))\/(5\/(200\/(-30))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 44 - 114 = 0. Suppose 5*a - 5*m = -5, -4*a - n*m + 23 = -2*m. Solve 17 = a*j + 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -2 - (-53790)\/(-5). Is v\/(-54) - (-4)\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.7 + 1.1. Let a = k + 2.599943. What is a rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 6. What is the units digit of 54\/4 + b\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = -77 + 13 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/35 and -40\/399?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2. Let x(k) be the third derivative of -k**6\/30 + 9*k**4\/8 + 23*k**2. Let q(b) be the second derivative of x(b). Give y(q(r)).\nAnswer: 2304*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**5\/20 - z**4\/4 - 7*z**3\/6 - 2*z. Let d be c(5). Let a be (d\/(-9))\/(2\/6). Which is smaller: a or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + sqrt(20)\/sqrt(4) + -6*(sqrt(45))**2 - 2*((sqrt(5) + (4 + sqrt(5) - sqrt(5))**2 + sqrt(5))*-4 + sqrt(5) + sqrt(5))).\nAnswer: -65*sqrt(5) + 690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 488.5023\nAnswer: -489.5023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (17 + (-6 - 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + p - 7. Let b(y) = -y**2 - 7 + 0*y**2 + y + 1. Let m(k) = 5*a(k) - 6*b(k). Suppose 7 = w - 2*t - 4, -4*t = -w + 19. What is m(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83578.78um to millimeters.\nAnswer: 83.57878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16100 + 12401 = 11*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (455*g - 2 - 11*g**2 - 226*g - 222*g)*(5 + 0 - 4)*(-3*g + 6*g - 2*g) to the form c*g**3 + n*g + a*g**2 + m and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5589 greater than -5588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/16)\/(9\/4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27182 >= -292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) -0.05422 (c) -2\/3 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -8. Let d be y\/(-18) - 2\/(-4). Sort -9, d, -2 in descending order.\nAnswer: d, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9*x = -2*x. Let k(l) be the second derivative of 1\/10*l**6 + l + x*l**3 + 0 + 0*l**5 + 0*l**2 - 1\/6*l**4. Find the third derivative of k(d) wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 + 173 = 146*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 4*s + 40. Let w be s\/28 + (-2)\/4. Let y = -1\/7 + w. Is 1\/3 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 5:41 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - -88. Let i be 0 + (-12)\/(-1) + -8 + l. Suppose 135 = i*u + 15. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4 - 63*y**3 + 297*y**2 + 363*y = 0. Calculate y.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 16 = -5*x, 20 - 6 = -4*l + 154*x - 160*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149004950.\nAnswer: 2, 3, 5, 2027, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101049, -404203, -909461, -1616823?\nAnswer: -2526289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17377 divided by -1?\nAnswer: -17377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 89.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2450*j**5 - 288*j**3 + 34*j**2 - 140784*j?\nAnswer: 147000*j**2 - 1728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*h = 3*w - 5 + 25, -7*w = -2*h - 5 + 29 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/132*-10 + -3 + (0 - -1). Which is the second biggest value? (a) q (b) 5 (c) 1035\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502*s + 503*s = 3908. List the prime factors of s.\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3652\/91 + 282\/7. Sort 0.1, -0.1, d in increasing order.\nAnswer: -0.1, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7891 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 944 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*q + 3*b, -2*b = -2*q - q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 2158973.\nAnswer: 34543568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(3 + 13)*1. Let t be ((0 + 1)*3)\/((-2)\/c). Calculate the highest common divisor of 32 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/9369 and -145\/22902.\nAnswer: 206118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 6 + 58 = 0. What is the remainder when 51 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/37698 and 65\/10431?\nAnswer: 2148786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c (base 16) to base 3.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -114. Let c = d + -19. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 - 3*u**3 + 2*u**3 + (4*u - 9 + 9)*(-u**2 + 4*u - 4*u) - 898*u - 571*u**3 + 898*u.\nAnswer: -579*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-15))\/(39*(-51)\/(-85) - -1)\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015522 to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = u - 3*v - 0*v, 5*u - 3 = v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**3 - 12270159*h + 18692564 wrt h.\nAnswer: -6*h**2 - 12270159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 166, 187, 224, 277, 346?\n\"Answer: 8*u**2 - 3*u + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18425 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047.30889 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -855*m - 479*m + 22067 - 2278 = -17563 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1379 - 1375 - (-1 + 47).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-19)*(9\/(-6))\/3*10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 4\/369, 1, 3, 1\/13, -2\/15?\nAnswer: 4\/369","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7482 - 7301. Calculate the remainder when n is divided by 128.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 19 = -144*a - 173 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015813 is divided by 5173.\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*i + 340, -2*s - 12 = -2. Suppose x - 6*x + i = 0. Calculate the greatest common divisor of x and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598*v - 23*v - 1172*v + 590*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-11)\/(-3))\/((-1)\/3). Let p = z + 36. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 104 - 118 = -r, 3*h - 167 = -r. Calculate the least common multiple of 45 and h.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:05 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1715 - -1717. What is the second biggest value in y, -3, 13.94?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 9320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.1 + 11.1. What is the biggest value in z, -0.2, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Suppose 2*j + q = -h + 3, 5*h + 4*j = 13. Suppose 8*u = -302 + 318. Calculate the remainder when h is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 1 (c) -26155 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is prob of sequence ip when two letters picked without replacement from {p: 2, x: 5, a: 1, q: 2, i: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2054 is divided by 2041.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 214 - 50*l + 214 + 90*l**2 to the form k*l**2 + b + d*l and give d.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(52)\/sqrt(4) + sqrt(13) + (sqrt(13) - (0 + sqrt(117))) + 0 + (-4 + sqrt(104)\/sqrt(8) - (sqrt(1300) + 2)))**2.\nAnswer: 48*sqrt(13) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 703 + -362. What is the highest common factor of m and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.8 + 14.556. Let b = -0.12 - o. What is b rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.068 + 0.068. Let y = g - -24. Sort 3, 1\/7, 2, y in increasing order.\nAnswer: y, 1\/7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(25) - 1*sqrt(25))*-2)\/((-2*sqrt(60))\/sqrt(12)) + (2 + sqrt(5) + -4 - ((sqrt(180) - sqrt(5)) + 5)).\nAnswer: -9 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) 16\/5 (c) -1\/37 (d) -0.5 (e) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1 = 11. Let p(y) = -442*y - 445. Let v be p(-1). Sort r, 0, 5, v.\nAnswer: v, r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c. Let r = 19 - 25. What is the common denominator of c and r*(-11)\/(-14) - 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 98. What is the remainder when 628\/10 + (-21 - (-5252)\/260) is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, 2, 5, -105.\nAnswer: -105, 2, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219433.\nAnswer: 219433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 + 3 + -1 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - i**2 - i**2)*(-17*i - 27*i + 13*i) + 2*i**3 - 3*i**3 - 3*i**3.\nAnswer: -35*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3857 - 253748?\nAnswer: -257605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(sqrt(425) - sqrt(425)*2 - sqrt(425) - sqrt(425)))**2.\nAnswer: 1530000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 894909 and 3579636?\nAnswer: 3579636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 133*n + 132*n + 1 in the form g + w*n and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 2641586. Let l be u(0). Let y = l + 97721442\/37. Let k = y - -466. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -31. Let w be -145*(6\/15 - x). Suppose 3*j = 39 + w. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4\/4 + 4683*k**3\/4 + 2744821*k**2\/2 + 4109040*k + 2737800 = 0?\nAnswer: -2340, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36764047?\nAnswer: 17, 31, 69761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -15*b**3 + b**2 + 9*b - 5. Let i(d) = -18*d**3 + 2*d**2 + 7*d - 4. Calculate -4*i(z) + 3*x(z).\nAnswer: 27*z**3 - 5*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432735784.\nAnswer: 2, 13, 1097, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 3245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + 13. Let z(a) = -240*a**2 + 1456. Let p(n) = 224*g(n) - 2*z(n). Let m(o) = -117*o. Give p(m(i)).\nAnswer: 438048*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/296 and 19\/1184.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -357\/706 + 2\/353. Suppose 4*b + 20 = -b. What is the nearest to -1\/4 in b, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 408539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i. Let h(j) = 5*j - 4. Let o(p) = -11*p + 9. Let q(t) = 9*h(t) + 4*o(t). What is q(w(f))?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from rrqvqnmqwrmvvw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-310)\/(-52) + (-59)\/236*24?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*b**3 + 2 + 2*b**3 + 4 - 4 + (-1 - 1 + 0)*(-3*b**3 - 5*b**3 + 0*b**3) + 2*b**3 - 5*b**3 + 4*b**3 as c*b**2 + f*b + v + z*b**3 and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 36*u - 34*u. Suppose -j = u*j - 33. Let w(r) = -r**3 + 11*r**2 + 16*r - 22. What is the hundreds digit of w(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111432 or -111308?\nAnswer: -111432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 96. Calculate the lowest common multiple of v and ((-2562)\/(-315))\/((-4)\/(-5)) - (-68)\/(-408).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-82 - 8\/(-1))\/(-2). Suppose 32*r - s*r = -5040. Is 24 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 5\/(15\/(-6)). Suppose -4*y + v + 15 = r*v, -y - v + 6 = 0. Suppose -y*c = -2*c - 3. What is the greatest common factor of 27 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 750 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -1)\/((-3)\/6). Suppose x = 6*x + 3*l - 41, x - 3*l = 1. Let m = p + x. Solve -o - 8 = -m*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -803, -802, -801, -800, -799?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 125. What is the remainder when s is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -1b3?\nAnswer: 1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {s: 1, l: 1, c: 1, o: 1, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.37390195 to 1 dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -6*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1912.83 - 373278.17. Let f = -375141.000416 - a. Let q = -50 + f. Round q to five dps.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2203284.\nAnswer: 2, 3, 89, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 358*i**3 + 32*i**2 - 11*i - 1. What is the hundreds digit of l(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*h - 24, 5 + 7 = h + 4*r. Suppose -1059 = 2*z - 6*z + 3*p, h*z + p = 1039. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(4 + 1 - 6)*(3*k + 6 - 6 - 2).\nAnswer: -9*k + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4695.566 to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4411 to one dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-180)\/(-210) + 101\/16 + -1 + 1?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 + 211 + -9*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p = 30*p. Suppose p = 7*m + 44 - 275. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 981416248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7 = 2*v. Which is smaller: v or 5\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 + 0 - 24*j.\nAnswer: -24*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5317119\/6088 + 6987\/8. Let q = 32950988423\/12188176 - 2708287\/1001. Let m = z + q. Calculate the common denominator of -43\/10 and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = -26*q - 48 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**(4\/7)))**(1\/4)\/(h**(-2\/31)\/(((h\/h**(1\/5))\/h)\/h)) assuming h is positive.\nAnswer: h**(-6633\/4340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:45 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4 - 17*p**2 + 15*p**2 - 7*p + 14*p. Determine b(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 5*n + 3*o - 113, 33*n = -2*o - 62 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*14*-2. Let s = -19 - z. Let l = s - -46. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 31048.06?\nAnswer: -6209.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 6*n + 24. Let k(t) = 2*t**2 + 2*t - 4. Let o(y) = 5*y**2 + 4*y - 9. Let h(d) = n*o(d) + 9*k(d). Find m such that h(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-2)\/((14\/(-84))\/(6\/48)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10 and 0.019319.\nAnswer: -9.980681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 27 = 4*d - 7, 2*v = -2*d - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1*21)\/(((-20145)\/(-170))\/79)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:33 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 l when four letters picked without replacement from kkkokkllkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 5*d**2 + 2*d**2)*(13668*d - 13706*d + 2*d**2 - 3*d**2).\nAnswer: 2*d**4 + 76*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from mhmhsimmnmnznhmn.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 7. Let f = -0.4 + r. Let i = f + -4.8. What is i rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/15 (b) -1\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -3) + 5 + 23 + -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.127 - 0.127. Let f be 106\/22 + (-12)\/(-66). Let k = 4 - f. Which is the closest to -1? (a) 0 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27721 + 27771. Solve j - 178 = 16*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - 2b6e?\nAnswer: -2b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -38.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 834040*o. Let t(p) = -4*p. Give t(m(q)).\nAnswer: -3336160*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b - 63*b + 37*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169443 and 2529?\nAnswer: 169443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5770, -11585, -17432, -23323, -29270, -35285, -41380, -47567?\nAnswer: -53858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5535590, -22142352, -49820290, -88569404, -138389694?\n\"Answer: -5535588*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 214663961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3322388\/207 at most as big as -16050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.32 + -3.319999857. What is u rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 + 1) - (10 + -33 - -24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 4*i**2 - 10*i. Let o be a(-4). What is the greatest common divisor of 400 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*w**3 - 6*w**2 + 15*w**2 - 10*w**3 + (-2*w**2 - w**2 + w**2)*(-2*w - 3 + 3 + (w + w + 0*w)*(2 + 2 - 3) + 2*w + 0*w + 0*w - 6*w + w + 4*w + 0 + 0 - 2*w).\nAnswer: w**3 + 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b63 (base 16) to base 5.\nAnswer: -43130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -2*x - 5*z + 10, 2*x - 176 = 4*z. Let p be 4\/(-1 + (x\/38)\/2). Suppose 0 = -18*w + 1258 + p. Calculate the remainder when w is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/5 or 47?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-18) + 4\/(-3). Let r(z) = -z**2. Let u(p) = 10*p**2 + p + 0*p - 1 - 3*p**2. Let y(c) = v*u(c) - 5*r(c). Calculate y(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 5*m - 3, -951*m + 947*m = -2*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1500 - -1501. Let p(f) be the first derivative of 0*f + q + 1\/3*f**3 + 0*f**2. Let l(t) = t**2. What is p(l(d))?\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 + 111. Which is the second biggest value? (a) 2\/7 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/39, -1, -495, -2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = c + 146 - 544, o + 2*c = -73. What is the units digit of (-1)\/(-5) - o\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 2 + -3 + 2. Suppose 0*m = q*m - 8. Solve 3*h = 5*d - 16, m*d = -h - 0*d + 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1033 - 160. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-8)*-46*(-4816)\/1204\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1288577 is divided by 429127?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/28 and -119\/111600.\nAnswer: 781200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. Let q = -372 + 369. Let m be q\/(-5)*(o + 4). Solve -6*v + 3*v + 3 = 0, 4*z = -m*v - 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 12 - 3)*(28*w - 5*w**2 - 28*w)*(-12*w + 9*w**2 + 12*w) to k*w**3 + s*w**4 + v + g*w + n*w**2 and give s.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.2, 11 in increasing order.\nAnswer: -2\/5, 0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26957473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5394.01 * 191\nAnswer: 1030255.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/((j\/((j\/(j*j\/(j\/((j*j**(-16))\/j))))\/j))\/j*j)*j*j)\/(j\/((j\/(j**(1\/16)\/j))\/j)))\/((j**(7\/5)\/j)\/(j\/(((j\/j**(14\/3))\/j*j)\/j))) assuming j is positive.\nAnswer: j**(5809\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k - k**2 + 0 + 0 - 2*k**2 + (k**2 + k**2 - 4*k**2)*(4 - 3 + 0) + (-1306 + 1306 + 311*k**2)*(1 + 3 - 2).\nAnswer: 617*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*r - 2 + 0 = 0, -3*q - 4*r = 2. What is the third derivative of 24*b**4 + 6*b**2 - 14*b**4 - 15*b**4 - 25*b**q + 10*b**6 wrt b?\nAnswer: 1200*b**3 - 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 1\/4, 0.24 in descending order.\nAnswer: 1, 1\/4, 0.24, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189 - 185. Let m be (-22)\/(-8) + 2\/8. Let u be 2*2\/(8\/(-6)). Sort m, u, o in increasing order.\nAnswer: u, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4 - 356*d**3\/3 - 6197*d**2\/3 + 4406*d\/3 + 2144\/3 = 0.\nAnswer: -16, -1\/3, 1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 + 3.4. Let v = -0.9 + o. Let m be 10\/24 + (-1)\/(-4). Are m and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(448) + 0 - sqrt(448)) + sqrt(448))**2.\nAnswer: -64*sqrt(7) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-36)\/(-21) + 90\/21. Solve -3 + 3 = t*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/(-9))\/(-42)*(-6)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 0.18 (c) -2\/3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 1. Let a(q) = 2*q**3 - 13*q + 18. Calculate a(z) + 2*f(z).\nAnswer: 2*z**3 - 5*z + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lklkkkllllllllkl. What is prob of sequence kk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -64*z - 433. Calculate w(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (-13549)\/(-19) + (-188)\/1786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 16. Give o(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -20*g**4 - 100*g**3 - 165*g**2 - 100*g - 20 = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 1 - 1 - 4*f + 3*f - f + (-4*f + f + f)*(2 - 7 + 3) - f + 0 + 0 - 13 + 10 + f + 3*f + 0*f.\nAnswer: 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 444*r**2 - 7980*r + 38400.\nAnswer: -3*(r - 128)*(r - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s. Let n(h) = 7*h. Calculate n(o(y)).\nAnswer: 63*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-6)\/15)*5. Suppose -3*a - 4 = x, x - 2*a - o*a - 20 = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2*c - 136, -2*r - c = -2*c + 133. Suppose 0 = 2*i + 5*x - 22, -3*x = -2*i - 4*x + 6. Is r*(-4 + 3) - (2 - i) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-3))\/6*51\/1547*-7.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 579, 1339, 2423, 3837?\nAnswer: 5587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w + 29. Suppose 172*i - 303 = -2241 - 986. What is b(i)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-two sevenths of a week?\nAnswer: 31680","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven quarters of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71436385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9682852 divided by 4\nAnswer: 2420713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7804721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + v - 354, -v - 524 = -3*k - 6*v. What is the highest common factor of 445 and k?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234264538 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 + 5*o**2 + o - 2. Let y(z) = z**2 - z. Let i = 9340 - 9345. Give i*y(p) + v(p).\nAnswer: -3*p**3 + 6*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-12))\/(968\/33).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1616 - 1607 + 3223 + 29355*u + 49580*u)*(-2*u**2 + 0*u**2 + 3*u**2) - 2*u**2 + 2*u**2 - u**3 to m*u**2 + x + h*u + s*u**3 and give s.\nAnswer: 78934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 16*g**7\/35 - 5*g**4\/12 + 149*g**2. Find the second derivative of p(c) wrt c.\nAnswer: 1152*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in hours?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17ab (base 16) to base 13.\nAnswer: -29b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 - 2*r - 2. Let p(k) = k + k**2 + 1 - 5*k**2 + 3*k**2. Let x = -456 - -457. Determine x*a(g) + 2*p(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 164, 168, 172?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.4436 * 3.7.\nAnswer: -86.74132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/3 - 232*z**3 + 2478*z**2 + 98344*z\/3 + 30072 = 0.\nAnswer: -358, -7, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:21 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 145584?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**17*x)*x\/(x**3\/x)*(x*(x**(-14)*x)\/x)\/x*x**(-17))**(-39) assuming x is positive.\nAnswer: x**1911","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1241892*k - 1215317 wrt k.\nAnswer: -1241892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 6:30 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2946 divided by 296\nAnswer: 1473\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/345826 and -25\/11856?\nAnswer: 157696656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0*l + l + 4*l. Let v(u) = 66*u. Let b(w) = -27*c(w) + 2*v(w). Determine b(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -0.9, 12.75?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -115, -142, -145, -112, -31?\n\"Answer: 2*x**3 - 41*x - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*t - 2, 0 = -5*v + 2*t - 5 + 21 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1649691 + 1200422 = 27671*q for q.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 560577 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155668880 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, -1\/7, -0.4, 4\/5, -0.058?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -581*b**2. Let j(o) = o**2 - 2299*o. Determine j(v(c)).\nAnswer: 337561*c**4 + 1335719*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 1 + 5*j**2 - 2*j**2 - 2*j**2 + 1. Calculate m(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -190 + 204*g + 190 as t + r*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -0.1, 36\/7, 0.1 in ascending order.\nAnswer: -4, -2, -0.1, 0.1, 36\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 12*x**2 + 3*x - 63. Determine y(12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (sqrt(75) - (-3 + (2*sqrt(75) - sqrt(75)))))**2*-3 + -2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*j + 2*m, -2*j - 7472*m = -7469*m + 27 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (5\/(-2))\/(-1))*(6080\/57)\/32?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 8, 2, 4, 5 in descending order.\nAnswer: 8, 5, 4, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146 - 12. Let d = -397 - s. Let c = d + 233.65. What is c rounded to one decimal place?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.67 - -2.\nAnswer: -24.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1041968 = 78*l + 441368. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/(-156))\/((-22)\/24*3)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-9) + 10 + -27 - (7 + 2\/1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6894, 13668, 20442, 27216, 33990, 40764?\n\"Answer: 6774*y + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88822704 and 28408?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1038*k**2. Let s(j) = -26286*j. What is s(c(g))?\nAnswer: -27284868*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*-4.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184354986 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + l)*(-24 + 201*l + 24).\nAnswer: 201*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjmgnsnnnggks. What is prob of sequence nmjs?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 296 from 1217662102.\nAnswer: 1217661806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.94*4997.\nAnswer: 69658.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/18 and 85\/51292.\nAnswer: 461628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 4*k - 2. Let x be g(4). Let h = 0 - x. Let u = h + -1. Is u smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggg. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 190011130 to the power of 1\/3, to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 399135 divided by 3?\nAnswer: 133045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -10. Suppose -t = -4*m + i, -15 = -0*m - 5*m + t. Suppose 0 = -m*j + j - 2*q + 5, 3*q = -3*j + 15. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1052350, 1052347, 1052334, 1052305, 1052254, 1052175, 1052062?\n\"Answer: -h**3 + h**2 + h + 1052349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 15 - 17 - 6*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 264?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1593*o + 7978. Calculate v(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or -1327?\nAnswer: -1327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*r - h + 6, 2*h = -2*r - 16. Let v be (8 + 1)*(r - 0). Let p = v - -47. Calculate the highest common factor of 100 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5)*v**8\/v*(v**(2\/9)*v)**5)\/((v\/v**(-7\/4)*v*(((v\/(v*v**(-8)))\/v)\/v)\/v)\/(v**(1\/8)*v**(-2\/9)*v)) assuming v is positive.\nAnswer: v**(1823\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 748816776 and 7873.\nAnswer: 7873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 94370 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/3 (b) -240\/7 (c) -0.081 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a + 80. Let o be b(6). Calculate the greatest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 5*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 + 5*o**2 - 5*o**2)*(-38*o**2 + 7*o**2 - 107490*o + 107480*o - 1) as v*o**4 + g*o**3 + j*o**2 + w*o + s and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.5 (b) -0.6 (c) 3\/4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -198306*q + 105 + 396341*q - 198145*q + 5*q**2 = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 - 81*w**2 - 405*w - 567 = 0. What is w?\nAnswer: -21, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -239*r + 239*r - 3*r**2 + 5*r**2. Let o(b) = 10*b + 2. Calculate o(v(f)).\nAnswer: 20*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 2645388.\nAnswer: 2645388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 2*r**2 - 2*r + 5. Let v(w) = -w**2 - w. Calculate i(k) - 2*v(k).\nAnswer: k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -980 + 995. Calculate the lowest common multiple of (16\/7)\/((-18)\/(-63)) and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58250, -116240, -174234, -232232, -290234, -348240?\n\"Answer: -2*n**2 - 57984*n - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -689\nAnswer: 964.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 140255463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -48543 + 48543 - 2*g**2. Let x(y) be the second derivative of -3*y**3\/2 + 2*y. Give x(o(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 59298*z - 2485224.\nAnswer: -3*(z + 42)*(z + 19724)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -13364920 to the nearest 100000.\nAnswer: -13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = g - 4*x, 228*x - 5 = -g + 227*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176336.\nAnswer: 2, 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4442*d + 30 = 6*q + 4445*d, -5*q = 6*d - 4*d - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 2*s**5 + s + (-2*s + s**5 + 2*s)*(7 - 7 - 5).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 4*f**2 - 5*f. Let l be g(5). Suppose -10*a + 144 = 2*c - 6*a, l = -4*c - 5*a + 276. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -10.5. Let k = -9 + u. What is the third biggest value in 3\/7, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7152124349*r - 8 + r**2 + 8 + 7152124349*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 27.8, 1\/2, 0, 0.4, -27 in decreasing order.\nAnswer: 27.8, 5, 1\/2, 0.4, 0, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54743 = 63*m - 53483 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1488482 - -2423443. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Let p(s) be the third derivative of s**5\/60 - s**4\/24 + 2*s**2. What are the prime factors of p(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4480 = 5*k, -81*k + 4488 = 5*p - 84*k. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/7, -136, 182, 4, -1 in ascending order.\nAnswer: -136, -1, -1\/7, 3, 4, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 47. Suppose u*k = 14 + 10. Solve -4*i = 4*s + k, -4*s + 2 - 7 = 3*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3528 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3729 and 30?\nAnswer: 37290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.95814 to zero dps.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*o = 2*w, -28 = 5*w + 2*o. Put 6, w, 3 in descending order.\nAnswer: 6, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -111, -95, -63, -9, 73?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + 21068002?\nAnswer: 21067876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47375350?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5402, 5256, 5022, 4706, 4314?\nAnswer: 3852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, -1\/164, 705\/14?\nAnswer: -1\/164","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*f**3 - 252*f**3 - 631*f**3 - 381*f**3 - 930*f**3.\nAnswer: -1797*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 9:15 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*h + 17, -h + 5 + 0 = 5*x. Let k = 18 + -11. What is the remainder when (0 + 38\/4)*x is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45839.\nAnswer: 23, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.5, 5, -10\/281, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o - 115. Let s = -20 - o. What is the greatest common divisor of 12 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5822427129?\nAnswer: 3, 1031, 1882453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1)*v**(-3))\/(v\/v**(-1)*v**(3\/8)))**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10120, 10133, 10160, 10207, 10280, 10385, 10528?\n\"Answer: o**3 + o**2 + 3*o + 10115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2 + -4 + 5 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**4\/16 + 341*i**3\/8 - 1017*i**2\/4 - 496*i + 1. Factor g(b).\nAnswer: -3*(b - 339)*(b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1.4. Let g = 14.5 - 11. Let n = g - 3. Which is the closest to 0? (a) -2\/15 (b) u (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/100606 and -167\/390588.\nAnswer: 6639996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 - 3*s + 13 + 4*s - 2*s + 0*s + 4*s - 2*s + 0*s + (-3 - 4 + 6)*(-2*s - 2*s + 2*s) + 4*s + s - 3*s - 2*s + 4*s - 3*s - s + 0*s + 0*s + 6*s + 4*s + 2*s.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1570560 is divided by 523516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001496 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 24. Suppose -4*k - 66 = 3*w, -3*k = -k + 3*w + v. Is 4 a factor of 83\/9 - (-4)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-82)\/(3*(-7)\/((-84)\/8)). Let a = o + 43. Let g be (-2 + 1)*(a\/1 + -2). Solve 3*d + g - 12 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 5:30 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2849*o**2 - 15*o - o**3 + 2900*o**2 + 29*o as l + g*o + d*o**2 + x*o**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -29*a + 34*a + 19, 5*g + 21 = -5*a + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3930 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131211222002 - -1?\nAnswer: -131211222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11525239*r + 11525339*r = -4000 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**2 + 0*y - 1\/40*y**6 + 0*y**3 - 1\/30*y**5 + 0 + 0*y**4. What is the third derivative of f(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -65?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50283894 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2258, -6507, -26282, -57061, -98838?\nAnswer: -151607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -128, 1, 0.1.\nAnswer: -128, 0.1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + sqrt(80))**2 + ((sqrt(25) - sqrt(100)\/sqrt(4))\/sqrt(5) - sqrt(30)\/(sqrt(30)\/sqrt(5))).\nAnswer: 7*sqrt(5) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 2075566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -3*c + 91, 5*c + 108 = -20*u + 13*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11*y**3 + 7*y**2 - 5*y + 4. Let v be n(3). Let s = -18 - v. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + 2*k - 2. Let b(v) = -5*v**2 - 2*v + 3. Let s(r) = r + 5. Let g be s(0). Calculate g*b(d) + 6*y(d).\nAnswer: -d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hlllhl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5688661 divided by -6.\nAnswer: -5688661\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 - -106. Let b be 331 + (-1 - (r - -1)). Let l = 1772 - b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.106 and 0.5?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 7\/20 (b) -0.41 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -723 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 2*q + 2*q)*(236*q - 15026 + 15026)*(2*q + q - 4*q).\nAnswer: 472*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -14*x + 2. Let k(t) = -t. What is d(g) - 10*k(g)?\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gurggrgrgggargg. What is prob of sequence ugr?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1910 + 3114. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2780054268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.5, -0.14, 0.3, -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -88, -274, -538, -880?\nAnswer: -1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 538921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -555*m**3 + 33*m**2 - 14*m - 3. Let c(o) = -554*o**3 + 34*o**2 - 19*o - 4. Let j(s) = 3*c(s) - 4*v(s). What is the third derivative of j(x) wrt x?\nAnswer: 3348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 300075.4 years?\nAnswer: 300.0754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(1 - (-2)\/(-4)). Let x(c) = -c**3 + 2*c**2 + c - 1. Let p be x(w). Suppose 3*n = 23 - 2. Calculate the greatest common divisor of n and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/6 (b) 4 (c) -34.7 (d) 0.04781\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*c - 246*c + 862*c = -44135 for c.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005609 rounded to four decimal places?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, -9, -23, -41?\n\"Answer: -2*b**2 - 4*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-2)\/8 + (-45)\/(-20). What is the third derivative of 20*i - 5*i**2 - b*i**2 - 80*i**3 - 20*i wrt i?\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*j + 75*j - 3366 = 0. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87011.34 microseconds to minutes.\nAnswer: 0.001450189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + k + 9. Factor 2*d**k - 90 - 113*d**2 + 78*d + 60*d**2 + 31*d**2.\nAnswer: 2*(d - 5)*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 35 - 43 = -5*k, 3*k - 8 = -f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w. Let d(y) = -21*y**2 + 1064720. Determine p(d(n)).\nAnswer: -210*n**2 + 10647200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/22, 0.6, 2, -15, 3 in decreasing order.\nAnswer: 3, 2, 0.6, -3\/22, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 6*u**2 - u - 1. Let z be s(-5). Let d = 1 - z. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2 + (0 - -5). Find the first derivative of -2 + v + 0*h**3 + 2*h**3 wrt h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2. Let l(y) = -9450172*y. What is l(s(r))?\nAnswer: -9450172*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -6*q**5 - 5*q**4\/4 + 44*q**3\/3 - 2*q + 445. Find the third derivative of n(s) wrt s.\nAnswer: -720*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210 by 2073.\nAnswer: -70\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 79*r - 460. Let c be o(8). Calculate the greatest common divisor of 129 and c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000082375914 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 1. Suppose 4*u + 126 = 2. Let m = -27 - u. Suppose -4*b + m*o = -12, 0 = -5*b + 3*b + 4*o + 6. Give y(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-10 + 2))*(-8)\/(-3). Suppose w*b = 7*b - 252. Sort 3, b, 1 in decreasing order.\nAnswer: 3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -12*l**3 - 2*l**2 + 3*l + 6. Suppose 25 + 2369 = 335*b + 64*b. Let v(o) = 13*o**3 + 2*o**2 - 4*o - 7. Determine b*v(d) + 7*s(d).\nAnswer: -6*d**3 - 2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**2*w**3 - 1052*j**2*w + 2*j**2 + 153*w**3 - 6*w wrt j.\nAnswer: -2*j*w**3 - 2104*j*w + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - 6786368?\nAnswer: -6786387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 70. Let q be (p\/10*-10)\/2. Suppose -q*g + 2*s = g - 22, 7 = 3*g + s. Solve 6 = g*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50010566 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-6)*-18*(-2)\/(-176).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 48?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 16 = -8. Let u = 13 + h. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxxxxxnxxn. Give prob of picking 2 n and 1 x.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*r + 2112 = 790*r - 361*r - 856 for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five halves of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 = 3*c - 0*c + y, -4*y - 342 = -3*c. What is the greatest common divisor of c and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15449984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k = -2*q - 8, -1468*q + 1465*q - 3*k = 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 147 = 479. Let o = b - -273. Is o a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210584029?\nAnswer: 43, 223, 21961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209382 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/98 and -69\/245.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3*r + 3*r)*(20*r - 72*r + 10*r).\nAnswer: -210*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (2*sqrt(637) - -1*sqrt(325)) - (5*sqrt(143)*1)\/((2*sqrt(22) - sqrt(22))\/sqrt(2)))*1)**2.\nAnswer: -84*sqrt(13) + 2557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 2 - 26*m + 2.\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, f: 1, j: 2}. What is prob of picking 1 f and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3820 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 i be 25738\/(-10) - (-31)\/(-155). Calculate the common denominator of -4\/21 and ((-3)\/(-2))\/1 - i\/(-2673).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4 + 10*l**3 - 108*l**2 + 182*l - 85 = 0. Calculate l.\nAnswer: -17, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1384*d**2*h*u**3 + d**2*h*u + 8*d**2 + 26*h*u + u**2 wrt u.\nAnswer: -8304*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 2*w - 693. Let v be q(24). Solve v = -5*k + 421 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 13, 0.2, 8, -0.3 in descending order.\nAnswer: 13, 8, 2\/3, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(117) - sqrt(117))*2 + sqrt(117))\/(sqrt(81)*4) + -3)*-5*6.\nAnswer: -5*sqrt(13)\/2 + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.7, -16.913, -3, -1.7, -0.3?\nAnswer: -16.913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -332135, -1328757, -2989859, -5315441, -8305503, -11960045, -16279067?\n\"Answer: -332240*a**2 + 98*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + l**2 - l + 5. Let n(p) = 2*p**3 - p**2 + p - 6. Let h(c) = 5*f(c) + 4*n(c). Determine h(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13 and 0.1133402?\nAnswer: 13.1133402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u**2 - 264*u**3 - 474*u**3 - 61*u**3 + 11*u**2 + 7*u**2.\nAnswer: -799*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237 and 1817.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1330 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**5\/7 + 2368*u**4\/7 + 46296*u**3\/7 + 85472*u**2\/7 + 41548*u\/7 = 0?\nAnswer: -17, -1, 0, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10204, -10188, -10172, -10156, -10140?\nAnswer: -10124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89882, 89844, 89788, 89714, 89622?\nAnswer: 89512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-11466)\/(-8)))\/(-6*5\/((-1365)\/(-13)))?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18922 and 0?\nAnswer: 18922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/13 + 57176*w\/13 - 408636872\/13 = 0 for w.\nAnswer: 14294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.35 + -0.31. Which is the second smallest value? (a) 5 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-12) - 2\/6. Suppose -25 = -4*m - 3*d, -2*d = -o*d + 10. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163501, -163519, -163549, -163591, -163645, -163711?\nAnswer: -163789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.32 + 0.68. Let v = 17 + -16.9. What is the closest to v in 1, 2, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkkzu. Give prob of sequence uuzj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48658290 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1763*p - 1492 = -459*p + 162*p + 2628 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:29 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 - (-13)\/(-2). Let s be ((-3)\/(6\/10))\/(3 + -4). Let c(f) = 4*f + f + 2 - s*f - f - 5. Give c(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 7. Let c be t(5). Suppose -2*p - w = -c*w - 7, p - 1 = 3*w. Find the second derivative of 2*g**2 - 2*g**2 + g**4 - g - 2*g**p wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-47)\/((-6580)\/(-40))*(-54)\/4?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w + 3*q + 3 = 0, 0 = -3*w - 2*q + 11. Solve w*s - 1 = -13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**2. Let b(o) = o**2 - 153*o. Calculate b(j(y)).\nAnswer: 36*y**4 - 918*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k**3 + 4*k**3 - 3*k**3)*(2*k + 4 - 4) - 6*k**4 + k**4 + 3*k**3 + 3*k**4 to c*k**2 + g*k + t + b*k**3 + n*k**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 36*p**3 - 8*p**2 - 412*p\/3 + 136\/3 = 0.\nAnswer: -2, 1\/3, 17\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2842 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 (base 14) in base 5?\nAnswer: -12022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 20 + 8. Suppose -153 = -y*s + 45. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -15, -34, -63, -102, -151?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i**2. Let m(a) be the third derivative of -29*a**5\/60 - 5*a**3\/6 - 1961*a**2. What is m(f(k))?\nAnswer: -2900*k**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 74*v**2 + 71*v - 53. Give l(-36).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1364, -1366, -1366, -1364, -1360, -1354?\n\"Answer: u**2 - 5*u - 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -968 + 968 + 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*u - 188*u = 40664. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349 divided by -2.\nAnswer: -349\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-11)*q*q)*q)\/q*q**(-6))**(-3\/29) assuming q is positive.\nAnswer: q**(-12\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -8. Let v be 112\/(-24)*n\/6. Suppose -v*t + 10*t - 141 = 0. What are the prime factors of t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + m = -3, -j + 3*m + 15 = -2*m. Suppose 3*g = 5*q - 150, 0*q = 2*q + 4*g - 86. Let u be ((q\/(-90))\/11)\/(1\/8). Is u smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 832850 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*b + 1562, 3*b + 0*b = v + 2309. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -7. What are the prime factors of (-14)\/i - (1 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5944*h - 11921*h + 26 + 5976*h.\nAnswer: -h + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17943, 18065, 18261, 18531, 18875?\nAnswer: 19293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 7 + 7. Let a(s) = s**3 - 8*s**2 + 8*s + 10. Calculate the remainder when 100 is divided by a(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {e: 1, s: 2, c: 2, h: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 9*x**2 + 10*x - 4. Calculate i(6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, v: 3, t: 2, c: 4}. Give prob of sequence gc.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xeexxexexxexxxxeehxx. Give prob of picking 1 h and 3 e.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 4*y + 2. Let a be x(-2). Find the second derivative of 3*d**2 + d + 3*d**a - 3*d + 5*d wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 5:20 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -144031585 divided by 4?\nAnswer: -144031585\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 8*q - 4*i = 192, 4*q = 5*i + 779. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvppvvvvpvpp. Give prob of picking 1 p and 1 v.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/133372 and -5\/1133662.\nAnswer: 2267324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 - -165. Let q = o - 44.0000106. Round q to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/20 + 7*r**4\/12 + 2*r**3\/3 - 7*r**2\/2 + r + 7. Determine g(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 15 = v, 3*v + 14*j - 1 - 5 = 39 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*p*w**2 + 54*p + w**2 wrt w.\nAnswer: -14*p*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2042 * -21.4.\nAnswer: 43698.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((30\/(-9))\/5). Suppose 4*p + a + 7 = b, 4*b - 3*p = 27. What is the tens digit of -7 + b + 18\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2221.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 41. What is the greatest common factor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 6*s + 6. Let c(q) = -q**2 + 6*q - 3. Let j be c(2). Determine v(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 10. Suppose -2*t + 14 = 4*p, 5*t + 1 - f = -p. What is the first derivative of 2*h**3 - h**3 - 3*h**3 + h**p + 2 wrt h?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(162) + 3 + (sqrt(162)*3 - sqrt(162)) + sqrt(162))*6)**2*-4.\nAnswer: -374544 - 31104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1017*v + 308. Is a(-19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*x + 2. Suppose 5 = x*v + 5*y + 12, 11 = 4*v - y. Let m be 34\/(-17)*-1*v - 2. Solve 0 = b + m*o + 8, -5*b + b - 5*o = 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-2)\/2 - 0). Suppose -j + 1 = j + v, 1 = -3*j - a*v. Solve 5*c = 2 + j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-12 - -6) - (2 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.323 * 0.1\nAnswer: 0.0323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 8*h**2 + 6*h - 3. Let u(i) = -i**3 - 28*i**2 - 6*i + 559. Let d be u(-27). Determine n(d).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u. Let n(w) = -w - 1. Let o(i) = -g(i) + 5*n(i). Let t(a) = 2. Let h(z) = -14*z - 274. Let j be h(-19). Give j*t(l) - 3*o(l).\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.027 + 0.033. Let n = 7004\/3 - 2335. Which is the second smallest value? (a) 3 (b) -3 (c) n (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2685 (b) 2\/3 (c) -2.55 (d) -3 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 13117018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -693*x + 1375. Let l be k(2). Let b(i) = -i**2 - 39*i - 311. Determine b(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/8 and -91\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/5, -117, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**2 + 0*c**2 - 8*c**5 - 4*c**2 wrt c?\nAnswer: -480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**4 - 89734*w**3 - 503329218*w**2 - 754836800*w - 251597312 = 0?\nAnswer: -11216, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 2596020 = 56*x + 38*x. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 14*c**2 + c - 2. Let y be z(-14). Let l be y\/(-7) - 10\/35. Let i(r) = -2*r**2 + 2*r - 1. Determine i(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q + 8. Let s(r) = -9*r + 17. Let v(g) = -5*m(g) + 2*s(g). Let j be v(6). What is the remainder when 11 is divided by 8\/3*9\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2832 and 109\/10.\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -1\/4 (c) -79358 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25914, -25860, -25808, -25758, -25710, -25664?\nAnswer: -25620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*u + 331 - 2069, -u - 2190 = -5*z. Suppose -4*h + 711 + z = 0. What are the prime factors of h?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -19*k**2 + 32*k**2 - 31*k**2 + 2*k**3 - 10*k**2 - 12*k**2 + 192*k = 0?\nAnswer: 0, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Let h(v) be the first derivative of -5*v**3\/3 - 3. Determine h(l(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 10*t + 4. Let i be q(-8). Suppose -16*p = -100*p + 168. Solve -3*m - p*m = i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 606 and 16.\nAnswer: 4848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170) + sqrt(170) + sqrt(170)*-3)*1 + 3*(sqrt(170)*3 + sqrt(170)))\/((sqrt(30) - 1*sqrt(480))\/(sqrt(15)\/(sqrt(5)*-2))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 766380785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/70 - 7\/10. Sort -6, j, -0.1.\nAnswer: -6, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19) + sqrt(3648)\/sqrt(3)) + -1)*-3.\nAnswer: 3 + 135*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -501, -1105, -1931, -2967, -4201, -5621?\nAnswer: -7215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1403 - -6561. Is 123 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 0.5, -0.5, 0.6, 3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2913*a**2. Let j(t) = -2*t**2. Give d(j(c)).\nAnswer: -11652*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(18))\/sqrt(6) + sqrt(27) + -4 + -4)*-1.\nAnswer: -5*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 3*o - 5. Let m be a(0). Let u(s) = -s**3 + s**2 - s - 10. Let c be u(0). Let p be c\/(-15) - (-5)\/(-9). Put p, m, 0 in increasing order.\nAnswer: m, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2061896, -4123910, -6185924, -8247938, -10309952?\n\"Answer: -2062014*r + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + 33 - 33)*(-3*b - 4*b + 4*b)*(2 - 5 + 4)*(4 - 2 + 2) to the form h*b + l + x*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14025 and 11275.\nAnswer: 575025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(4\/31)\/a)*a**(2\/19)*a*a**17*a*a*a*a**(-9\/4)\/a)**(3\/7) assuming a is positive.\nAnswer: a**(139425\/16492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.816193ug in nanograms?\nAnswer: 4816.193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.4. Is o less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*a**2 + 30*a**2 - 54*a**2)*(-2 - 1 + 4) - 2*a**2 + a**2 - a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -113341.474 to the nearest 1000.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 x when three letters picked without replacement from yyrxyrr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a micrometer in nanometers?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 - 52*g**2 - 50 + 23 + 28. Let s(l) = -2*l**2. What is s(j(t))?\nAnswer: -6272*t**4 + 224*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 14, j: 4}. What is prob of sequence jjj?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3)*g)**(-6\/11))**(1\/11)\/((g**3\/(g\/g**7))\/(g**(-5)\/g*g*g*(g\/(g*g**5))\/g*g*g)) assuming g is positive.\nAnswer: g**(-2061\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 63 - 242*h - 240*h + 470*h.\nAnswer: -3*(h - 3)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/11 - 28*l**2\/11 - 86*l\/11 - 60\/11 = 0. What is l?\nAnswer: -10, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 - 4*t - 3. Let z(x) = 4*x**2 + 6*x + 4. Let k(q) = 5*y(q) + 4*z(q). Let f(l) = -l**2 - 35*l + 112. Let b be f(3). Give k(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/168 and -26\/1379.\nAnswer: 33096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -9. Let z(w) = w**4 - 2*w**2 - 5*w + 2. Let m(d) = -3*d**2 - 6*d + 3. Let l(i) = u*z(i) + 4*m(i). What is the second derivative of l(y) wrt y?\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1083 + 1082.6. Which is the nearest to -3? (a) m (b) -0.5 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 1, x: 1, g: 2}. What is prob of sequence gg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) -0.3 (c) 54 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-185)\/(-30) + (-1)\/6. Is k\/2 + (3 - -25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 5 - 1\/6*u**3 - 5*u**2 - 8*u. Let q(s) be the first derivative of j(s). Differentiate q(h) wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, z: 6}. Give prob of sequence uz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 36*y - 122. Let d be n(5). Solve -d*r + 59*r - 5 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3297*f**2 - 7766*f - 20663*f - 3299*f**2 + 1 in the form k*f + o + l*f**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*d - 11*d - 137*d)*(0 - d - 1 - d).\nAnswer: 196*d**2 + 98*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*y = 5, 38 = -2*j + 2*y + 52 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-4))\/(290\/(-928)). What is the fifth biggest value in -2\/3, d, 5, 178, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a decade in months?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/15 (b) -1\/4 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-128)\/(-16)*446\/(-8). Let d = 462 + q. Solve d*m - 17*m = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 582.\nAnswer: -2910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69038017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125218\/5 + -25044. Let w = -2 + 1. What is the nearest to l in 0, w, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 192\/(-15))*5. Suppose 3*m - 2*b - 7 - 11 = 0, -4*m - b + 35 = 0. What is the greatest common factor of d and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.44, -31, 10?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*c**2*y**3 - 2*c**2*y - 157*c*y**3 + 5*c*y - 2*c wrt c.\nAnswer: 66*y**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**3 + f**2 - 3*f + 2. Let i be (-80)\/(-44) + 4\/22. Does 16 divide n(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 + -58. Suppose -19*v + h*v = 38. What is v rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10\/7*y**3 - 8\/7*y**2 + 2\/7*y = 0. What is y?\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 5359.\nAnswer: 5355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306, 1, 5 in ascending order.\nAnswer: 1, 5, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuvv when four letters picked without replacement from {m: 3, r: 1, l: 2, g: 2, u: 6, v: 6}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-75) + 2)\/(3\/425). Calculate the highest common divisor of d and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.5, -22, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**3*l**3*p**2 - 2*d**3*l**2*p**3 + 26*d**2*l**3*p**3 - 4*d**2*l**2*p**2 + 2*d*l**2*p**3 - 8*p**3 wrt l.\nAnswer: -18*d**3*p**2 + 156*d**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**12*p*p)\/p**5*(p\/(((p**(5\/2)*p*p)\/p)\/p))**(3\/11))**4 assuming p is positive.\nAnswer: p**(378\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -42.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**5\/60 - d**4\/4 + 5*d**3\/3 + 2*d**2. Let r be (3 - 1) + (-3*928)\/6. Let g = r + 455. Give s(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 652733*h**5*u**2 - 2*h**2*u**2 + 3*h**2 - 166*h*u + u**2 + 50 wrt h.\nAnswer: 39163980*h**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*(-4)\/(-3). Suppose -32 = -w*d + 12. Suppose 0 = -5*u + d + 8. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7))**(-18\/5)*(b\/b**(2\/21))\/b*(b\/(b\/(b\/(b\/(b\/(b**7*b))))))\/b assuming b is positive.\nAnswer: b**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**3\/3 + t. Let q(w) be the second derivative of w**4\/6 + 4*w. Calculate q(p(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**5\/5 - 3*g**4 - 10*g**3 - 14*g**2 - 9*g - 11\/5 = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 47. Suppose -5*q = y + 3*y - r, -25 = -5*y + 5*q. Calculate the remainder when 17 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4698 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(((-63)\/7)\/3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, h: 3, o: 1}. What is prob of picking 1 h and 1 o?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -64, -68, -74, -82?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27728 by 91.\nAnswer: 27728\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-522)\/(-145) - 7)\/(12\/120)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.071999 + -0.072. Round v to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1847.47, 0.05, 0 in decreasing order.\nAnswer: 0.05, 0, -1847.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + -6. Let h be 2\/((-8)\/6)*v\/16. What is the remainder when ((-9)\/h)\/3*-76 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-9) + 3)*3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -33*l**2 - 22980*l - 23397. Let p(n) = -3*n**2 - 2089*n - 2126. Let u(z) = 45*p(z) - 4*x(z). Let u(j) = 0. What is j?\nAnswer: -694, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozv when three letters picked without replacement from vtvovpvgzztvpvvzz?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 58*d = -167 - 43 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*o**2 - 7*o + 7*o)*(2*o + o - o) + 2*o**3 + o**3 - 2*o**3 in the form t*o + z*o**3 + r*o**2 + s and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*y**4 - 4*y**5 + 65*y**4)*(-3 + 2 + 2 + (-2 + 0 + 4)*(11 + 1 - 3)).\nAnswer: -76*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:33 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (7619625\/3450)\/65.\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1293 + -1290. Let c = -3.44 - -3.74. Let y be (3 - 2\/1) + -1. What is the closest to y in -12, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3526801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187611 = -16*q - 4*o - 30895, 2*q + 2*o = 19600. Which is bigger: q or 9792?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.4 + -41.6. Let p = -17.1 - m. Let o = p - 9. Which is the second smallest value? (a) o (b) -1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6943 and 11397?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.62, -1\/7, 0.12?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 772976482?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22042 + -21531. Calculate the remainder when h is divided by 246.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39467849 is divided by 3827.\nAnswer: 3825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 5*o + 14*x - 19*x, -5*x = 3*o - 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-15))\/((-4)\/10). Find the third derivative of -143*y**3 - n*y**6 + 69*y**3 - 63*y**2 + 72*y**3 wrt y.\nAnswer: -360*y**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2548 and 26040.\nAnswer: 2369640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2773069?\nAnswer: 13, 19, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1545 is divided by 741.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.63654932 and 67549?\nAnswer: 67552.63654932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 10*a**2 - 87*a - 566. Give i(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 164 and -1714.\nAnswer: -281096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 89911.13 weeks?\nAnswer: 54378251424000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 2. Calculate b(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 5 + 6*l - 2*l**2 + 3*l**2. What is the units digit of q(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 303775 and 79025.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/33 - (-1073)\/3. Suppose -3*c = -3*d - c + 222, -5*d + i = c. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2 - 43. Let c = -5 + l. Find the first derivative of -2*v**c + 2*v - 7*v + 2 + 5*v wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 3*d = 0, -4*d + 11 = 12668*c - 12669*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/7)*d**(-23) assuming d is positive.\nAnswer: d**(-162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 262*v - 235. Let n be a(1). What is the greatest common factor of 60993 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -655 (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 20 = 4*a. Let h be ((-6)\/8)\/((-18)\/(-480)*-5). Suppose 3*i - 5*i + 3*w + a = 0, h*i - 8 = -3*w. Sort 5, i, -2.\nAnswer: -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 1799*g**4\/4 + 30*g**3 + 6*g + 1730. Find the third derivative of a(m) wrt m.\nAnswer: 10794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26896 - -1.\nAnswer: -26895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**3 + 8*d**2 + 2*d - 12. Let m(f) = -6*f - 5*f**3 + 7*f + 4*f**3. Let t(y) = h(y) - 4*m(y). Factor t(u).\nAnswer: -2*(u - 3)*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*s - 26 - 21, 4*l = s - 155. Let x = l + 33. Suppose 3*f - 25 = -2*f, 2*w = 4*f - 16. Sort w, x, -6 in increasing order.\nAnswer: -6, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29045, 29008, 28963, 28910?\n\"Answer: -4*j**2 - 25*j + 29074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -3 (b) -1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 67 = 5*w. Let h be -1 + 0 - ((-15)\/9)\/5. Which is the second smallest value? (a) h (b) -0.66 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 8*m = -104. Suppose 0 = 4*z - m*z + 4. Let w(j) = -7*j + j - z + j**2 + 2*j + 6*j. What is w(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 2:05 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -706*-0.13.\nAnswer: 91.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -18. Which is smaller: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 32*l - 2 = 33*l, -2*g = -3*l - 5. Suppose k + 4*q = -3*k - 24, 2 = k - q. Let h(r) = r - 1. Let p(w) = w**2. Give g*h(b) + k*p(b).\nAnswer: -2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1026 + -1024. What is the smallest common multiple of q and (2 + (2 - -2))\/((-2)\/(-3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-88.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.43 (b) -78 (c) -5 (d) 3 (e) -527\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6022 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40450774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19506 is divided by 3244?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8168 - 8204.644. Let i = b + 0.144. Let v = i + 44. Round v to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqglqlmgqlqm. What is prob of sequence lg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8*m = 865, 2*j + 3*m - 179 - 198 = 0. List the prime factors of j.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-4)\/(-28) + 97\/7 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 16\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/34 - 0) + (-12)\/(-3)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3075849982 and 2854?\nAnswer: 2854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 12*u**2 + 13*u + 9. Let f be l(13). Let i = f + -13. Let r be (-1*(-30)\/(-9))\/(i\/(-6)). What is r rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 2*w**2 - w - 3. Suppose -2 = -4*r - 14. Let g be l(r). Factor -4*v + g - 7*v + 5*v - 3*v**2.\nAnswer: -3*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = b - 13, 0 = -b + 2*b - 1. Calculate the least common multiple of 10 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4850\/221 = -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6992 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 i = 1.5 + -2. Let z be (-3)\/((-150)\/(-95)) + 6\/4. Which is the closest to -1? (a) 5 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/35*(-10)\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12316 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = n - 13*v + 11*v, 0 = -2*n + 5*v - 31. Let t be 1 + (-4 + 3)*2. Let f = t + -1. Sort n, -5, f.\nAnswer: n, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.545 in -3, 130, -2\/57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-3*-3)\/sqrt(4).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8 = 3*q. Suppose -3*g - 5 = -2*g. Suppose 2 = r - 3. Which is the biggest value? (a) r (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 371 + 44. Suppose 3*n = 2*q + r, -n + 5*q = 3*n - 120. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + z - 1 = 0, 2*l - 2 - 1 = -3*z. Let r(q) = -q + 0*q + 2*q + l + 1. What is r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 + 9 - 11*j + 3*j + 2*j + 11*j - 5. Let l(f) = f**2 - f - 1. Determine -b(n) - 4*l(n).\nAnswer: n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-3 - (-11 + 10) - (1 - 61) - 7).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-18)*x**(2\/67)\/x*(x**(-2\/3))**(-2\/73) assuming x is positive.\nAnswer: x**(-278081\/14673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-136) + 10\/80\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.84124 to 1 decimal place.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -2245.011.\nAnswer: -2249.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362118*j - 28642*j - 225385*j.\nAnswer: -616145*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0485 + -1.9515. Which is smaller: -23 or i?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 98 = 21*j - 34 + 47, 2*j - j = -4 + 3 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14824937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t**3 - 5*t**2 + 8*t - 3*t**3 - 2 - 3*t**2 - 3*t**3. Let m be o(7). Find the third derivative of 2*r**2 + m*r**3 - 5*r**3 - 7*r**6 + 3*r**2 wrt r.\nAnswer: -840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1193, 2648, 4585, 7244, 10865, 15688?\n\"Answer: 40*t**3 + t**2 + 1172*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35.4 + -35.6. Suppose -c = 3*j + 13, 5*c + 0*j + 3*j = -5. Put -4, 5, a, c in ascending order.\nAnswer: -4, a, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5708, 11419, 17130?\nAnswer: 22841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, a: 7}. What is prob of picking 4 r?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 11*f**2 + 5*f + 15. Let s be v(11). Suppose 2*q = -3*q + s. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 510\/(-12) + 1 + -2 and 71\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13127810 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53077 <= 53075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14648031.\nAnswer: 3, 19, 85661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*w**3 - 19*w**3 + 5*w**2 + 5*w**4 - 2*w**4 + 1 + 2*w + 3*w**3 in the form m*w + t*w**4 + q + x*w**3 + h*w**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -357*l**3*m + 10*l**3 - 4663*l*m - 2*l wrt l.\nAnswer: -2142*l*m + 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -0.6, 8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23816 = 5*q - 3*b, -5*b = -6*q + q + 23820. Suppose v - 2*v = -q. Let o = 738 + v. What is o rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, x: 14}. Give prob of sequence ddx.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635471 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 338192 (base 11) in base 15?\nAnswer: a95d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**3\/2 - 57*j**2\/4 - 27*j - 208. Factor w(t).\nAnswer: -3*(t + 1)*(t + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 81*d = -83*d + 18, -6*d + 54 = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 412, -0.3, -3 in ascending order.\nAnswer: -3, -0.3, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 409537793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u + 8. Give y(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 3*r + 2. Let g be y(-4). Let u be 2\/g + 125\/(-374). Let d = u - -8137\/2805. What is the common denominator of 15\/4 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100501501.\nAnswer: 17, 29, 203857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - ((-6 - -1) + (-1 - -4))) + -19\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (376\/(-799))\/(-5*16\/680).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2 - ((-54)\/12 + 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39596239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 4605593.25 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 66 + -72 + (111 - 122).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 2*v - 1. Let u be r(1). Let t = 4 - 2. Find the second derivative of -y - y**t - y + u*y**2 wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-10 - (-1 - 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 6, 1, 1838, 1\/3 in decreasing order.\nAnswer: 1838, 6, 1, 1\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211287, 422572, 633857, 845142, 1056427?\nAnswer: 1267712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/546 and 101\/102?\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**2 - 3*v + 4*v**2 + 3*v**4 + 2*v**2 + 2*v**3 - v**4 to r + t*v**4 + c*v**3 + d*v**2 + i*v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129 + 165. What is the remainder when a is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 42 - 2*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 4*i - 2. Let w be m(5). Suppose w*n - 7 = 8. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + -1 + sqrt(242) + -3 + sqrt(242) + sqrt(242)*-3 + -3 + 3)**2.\nAnswer: -534 - 220*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 61*m - 6. Let n(q) = -4 - 3*q - 1 - 22*q - 35*q. Let k(b) = -5*l(b) + 6*n(b). Factor k(j).\nAnswer: 5*j*(j - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 466776 and 25932.\nAnswer: 466776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -257\/4 (b) 1\/5 (c) -4\/197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 - 4*v + 1. Let u be o(-5). Let l = -119 + u. Calculate the highest common divisor of l and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 7.7. Let v = p + 0.6. Which is the smallest value? (a) -4 (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**26\/y**(9\/5) assuming y is positive.\nAnswer: y**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.129 and -0.2?\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23.3 in 1, -3, 1\/10, -0.1, 37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j + 210 = -29*j. Calculate the lowest common multiple of j and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -692.8 - -693. What is the closest to -2 in -10, 1\/6, a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 + 21.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14*v - 18. Calculate the remainder when 310 is divided by w(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**2 - 11520067*n - 5485257.\nAnswer: -4*n - 11520067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 10:54 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/(12\/(-7))*14\/2?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -185?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*z + 34593949 + 41*z**2 - 34593949 as l + s*z**2 + i*z and give s.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 3\/16474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 457769859 rounded to the nearest 100000?\nAnswer: 457800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 201527701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b6b7 + -4?\nAnswer: -b6bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2299641432 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25796 - ((-144)\/(-27) + (-4)\/(-6)). Suppose -4*p + 25794 = 2*r, 36*r - 34*r - z = -3*p. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*f + 9, f + 1 = -5*x + 8*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = -20*s - 18. What is the remainder when (-1)\/3 + 49\/3 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*s - 19, 8*o + 113 = 4*s + 3*o. Let u = 11 - 19. Let k(c) = -2*c + 6. Calculate the least common multiple of s and k(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -46. Let m = 41.99999926 - t. Round m to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1049, -2096, -3143, -4190, -5237?\n\"Answer: -1047*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300938 (base 15) in base 2?\nAnswer: 110100001001100110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/3)\/(1\/(-6)). Suppose t = v*t - 9. Let u = t + -6. Solve -2*h - 3 = u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3011*j**3 + 1 - 3010*j**3 - 1.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 67841 times -0.0451\nAnswer: -3059.6291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, w: 1, x: 6, r: 2, q: 2}. What is prob of picking 1 x and 1 q?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30*-838\nAnswer: -25140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -2\/3, 2, 3\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19720 by 2.\nAnswer: 9860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - m**2 + 2 + 0)*(-22*m**3 + 36*m - 36*m).\nAnswer: 22*m**5 - 44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*r + 494 = 4*r, -4*w + r = -1013. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*i + 142 = 0, -4*g - 138 = i + 47. Let z be g + 47 - (-1 - 3). Solve -z*b + 45 = -3*m - 2*m, 4*m = 2*b - 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14465\/7 - -2067. Let c be (-7 + (-38)\/(-6))*(-6)\/(-10). What is the closest to c in q, 2, 4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*u - 473*u - 55*u + 42390 = 0 for u.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, 5\/3, -1, -9\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Let i(p) = p**2 + 3*p. Let x = -18 + 16. Calculate x*i(c) - 6*g(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4398450746 to the nearest integer?\nAnswer: 66321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8100584207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 11, 7, -3 in descending order.\nAnswer: 11, 7, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 721 = -5*s, 2*s - 287 = 3*j - 2*j. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*0.07.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*f**2 + 618127*f + 12157992?\nAnswer: 12*f + 618127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22153 - 6086. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 7:56 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 177585 - -35?\nAnswer: 177620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1152, 2344, 5836, 9324, 12808?\nAnswer: 16288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11675*f**2 + 7*f - 799555 with respect to f.\nAnswer: -23350*f + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13))*2 - (sqrt(13)*-2 + 3)**2.\nAnswer: -63 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + k - 2*k + 1)*(-1608*k - 26*k**4 + 1608*k).\nAnswer: 26*k**5 - 52*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63738, -244671, -546218, -968373, -1511130, -2174483, -2958426, -3862953?\nAnswer: -4888058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 60*f**2 + 65*f - 236. Calculate n(61).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 9, 0 = 5*w + 3*h + 145 - 49. Let v = 8 - w. Let o = 16 + -10. What is the remainder when v is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 9*z + 28 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:09 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*d + 5*a, 6*d - 5*d - a - 21 = 0. Solve 0 = 17*c - d*c - 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - u + 0)*(-5*u**2 + 2 + 2*u + 0*u**2 + 3*u**2).\nAnswer: 2*u**3 - 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != -26\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1356455 (base 8) to base 13\nAnswer: -105bc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**6\/40 - 13*w**5\/20 - 15*w**4\/4 - 698*w**2. Suppose l(k) = 0. Calculate k.\nAnswer: -10, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 - 3 - 1 - 7 + 1 + 230*n - 229*n. Let j(z) = -z**2. Determine -d(g) - 4*j(g).\nAnswer: -g**2 - g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9712503, 19425004, 29137505, 38850006?\n\"Answer: 9712501*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/192 and -58\/219.\nAnswer: 14016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219712760 by 6596.\nAnswer: 33310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 50\/(-6)) + 1\/(-3). Suppose f = d*f. Solve f = -4*p - 3 + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 426996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62924 or 62921?\nAnswer: 62921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = -2*f. Let q = 0 + f. Suppose 4*v - q = v. Solve -2*m + 2*t = 2, 0 = 2*t + v*t - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/51255 and -149\/29580.\nAnswer: 5945580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 14*l**2 + l + 19. Let p be n(-14). Suppose -4 = -w, -2*z + 221 + 159 = p*w. Suppose -258 = -6*a + z. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 119 (b) -0.3 (c) -2 (d) -250 (e) -3 (f) 15.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 5 = 0. Let z be (-24)\/(-15)*5*s. Let u = 451 - 447. Sort 3, u, z in descending order.\nAnswer: z, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3042833391 to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 4*w - 14*w + 10, -58*u + w - 4*w - 83 - 27 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w - 2*t - 19, -2*w - t = 47. Let o be (-4)\/w*(-5)\/2. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 488080 and 10120.\nAnswer: 123484240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39139, 78241, 117311, 156349, 195355?\n\"Answer: -16*j**2 + 39150*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**6\/120 - 7*k**5\/20 + 49*k**4\/8 + 3*k**3 - 29*k. Let a(m) be the second derivative of f(m). Factor a(v).\nAnswer: 3*(v - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4635 and 37\/8240.\nAnswer: 74160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -10. Let l be 6\/(1\/(6\/18)). Solve q*p - 10 = l*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3931545, -3931548, -3931551, -3931554, -3931557?\n\"Answer: -3*i - 3931542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1730 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l - 3*l)*(3 + 2 - 3) - 4*l + l + 1 + 2*l.\nAnswer: -5*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 243.6 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-6))\/(205\/(-615))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*s + 29 - 29 as z*s + f and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28 times 0.1\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:26 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 1352 = 384. Is 217 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and (33\/(-44))\/(2\/(-32))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 101, -15508 in decreasing order.\nAnswer: 101, -3, -15508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88011527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 462729773 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 5*s - 4*u, s = 3*u + 5. Let t = 4 - s. Solve -t*l - 20 = -0*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200772)\/9126)\/(-4*((-10)\/4)\/5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44597 + 6 + 15\/(135\/(-72))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 770859?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 1:13 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 190894*t**3 - 9029*t**2 - 5*t - 1.\nAnswer: 1145364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-5)*35\/14. Let t be -10*(-2)\/p*2. Suppose l - t = -4*l. Which is the smallest value? (a) -4 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:27 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -1\/20*r**5 + 1\/160*r**6 + 0*r + 0 - 1\/8*r**4 - 199*r**2 + 0*r**3 + 1\/280*r**7. Factor n(y).\nAnswer: 3*y*(y - 2)*(y + 1)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 3*s + i + 44, 2*i = -3*s + 107. What is the remainder when 217 is divided by s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4468940 * 4\nAnswer: 17875760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5, 6\/7, 0.4, -1\/226?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3581560?\nAnswer: 2, 5, 17, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183\/197 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -0.8. Let f = -8895 + 8895.30008. Let r = u + f. What is r rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 2, 11 in decreasing order.\nAnswer: 11, 2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 2 + 2 + (-2 + 0 + 1)*(-2 + 0 + 1) - 2 + 2 + 2)*(-q**4 + 2*q**4 + 0*q**4) in the form n + m*q**2 + f*q**4 + j*q**3 + p*q and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-2 - (-11 + 4)) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2. Let d be a(0). Suppose x = -3*j + 163 - d, 0 = x - 3*j - 181. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-705))\/((-12)\/(-166)). Let p = u - 4\/47. Let l = -3 + 3.3. Which is the smallest value? (a) l (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646646 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/(-86)*(-2)\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*u + 45 = 0, 0*u = -w + 4*u + 35. Let g(o) = -o**2 + 16*o - 15. Let t be g(w). Calculate the remainder when 76 is divided by 6*(65\/10 - t\/3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, n: 2, r: 4, s: 5}. What is prob of sequence esr?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/28 - 811*q**3\/14 + 1215*q**2\/7 + 1115*q. Suppose a(p) = 0. Calculate p.\nAnswer: 1, 810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*n*x**2 - j*x**2 + 12289*j*x - 16*j - 3*n*x**2 + 10228555*n - 70*x**2 - x - 1 wrt n.\nAnswer: 2*j*x**2 - 3*x**2 + 10228555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.79 + -50.21. Let n = -51.35589 + 0.02589. Let w = n - l. What is w rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 17*s**2 + 9*s + 4. Let i(j) = 18*j**2 + 7*j + 5. Calculate 3*i(m) - 4*n(m).\nAnswer: -14*m**2 - 15*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/6848 and -73\/8692?\nAnswer: 14880704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-540)\/(-28) - (-4)\/(-14). Suppose 0*i - i + g = 0. Let q = -20 - -30. What is the remainder when i is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/198 - -2*-5*(-3)\/(-90)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 310, 707, 1252, 1939, 2762?\nAnswer: 3715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 10:03 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 471504919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 3 + 3 + 3*s - 4*s + 2*s + (-4*s + 0*s + 2*s)*(-1 + 3 + 0) + 0 + 0 - 2*s + 0*s - 3*s + 2*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 q when four letters picked without replacement from {g: 13, q: 3}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 22*n + 13*n + 0*n**2 + 0*n**2 - 2*n**4 to the form v*n**2 + d + w*n**4 + t*n + b*n**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = -18*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*(-15)\/(-25)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 19 - 22. Let j(k) = -k**3 + 11*k**2 - 16*k - 11. Let b be 49\/4 - 2\/8 - 3. What is the remainder when g is divided by j(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + g. Let l(v) = -v**3 - 6*v**2 - 3*v - 9. Let t be l(-6). Let y = t + g. Calculate the highest common divisor of y and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s - 6 = 0. Let h(i) = -1693*i**3 - i**2 - 7*i - 7. Let n be h(-4). Suppose 87643 = -s*t - n. Round t to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -472a988 + 4?\nAnswer: -472a984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233 and 1513938470.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3884332 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**2 - 6*n**2 + 4*n**2 + (1 - n - 1)*(3*n - 5*n - 4*n).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1*(-4)\/((-24)\/15). Let n(c) = c**2 + 1. What are the prime factors of n(s)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**4*y**2 + 2804*n**4*y - 493*n**2 - 2*y**2 wrt n?\nAnswer: 24*n*y**2 + 67296*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 4*a - 30 = 0. Suppose -3*r - k = -a, -2*k + 0*k = -r + 5. Solve 4*p + 0*p + 3*w = -31, -r*w = p + 29 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n**2 - 9*n - 21. Let k(t) = 5*t**2 + 5*t + 11. Let z(b) = -11*k(b) - 6*s(b). Calculate z(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3347237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(2\/(-1))\/(-4). Let z = -2.8 - -3.1. What is the third biggest value in 0.1, z, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3280788+-5\nAnswer: 3280783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pimz when four letters picked without replacement from smpmzimmm.\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5016 in -0.3, 23, 2\/19, -4\/5, 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -5*u**3\/3 + 3*u**2\/2 + 9*u. Calculate j(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 3 - 1 + 0 + 2 + (-4 + 1 + 2)*(-2 + 0 + 3) + 5 - 4 + 0)*(4 - 4 + 19*g)*(0*g - 3*g + 6*g).\nAnswer: 342*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1628 (c) -3\/2 (d) 0.3 (e) 2 (f) 3\/4 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*f - 501 - 580 = 591 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 7*o**2 - 6*o + 2. Let c(v) = v**3 - 13*v**2 - 11*v + 3. Let p(i) = 4*c(i) - 7*w(i). Let l(r) = r**3 + r**2 + r + 1. What is -2*l(m) - p(m)?\nAnswer: m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*t - 58. Let n = 8 + -2. Calculate the least common multiple of n and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/12 + 2*f**3 + f**2 - f. Let z be a(12). Suppose 0 = -z*s - s. Do s and -4\/21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.8 + 0.2. Let w = -10 + t. Let n = 0.5 - 0.9. Which is the third smallest value? (a) -3 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/60 - 3*y**4\/8 - y**3 - y**2. Let h be (-2)\/(7\/70*5). Does 14 divide k(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 208525?\nAnswer: -208528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -11, -0.03, 0.4, 0.071, 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 12:05 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4038 (b) -0.2 (c) -3\/4 (d) 3\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1528 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + 0)**2 + -3 - sqrt(1300).\nAnswer: -10*sqrt(13) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*t + 2*z - 14, 5*t - z = -19. Let i = -82 - -86. Let w(d) = 2 + 5*d**2 + i*d - 1421*d**3 - 6 + 1422*d**3. Calculate w(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 19)*(-3*y**3 + 2*y**3 - y**3) + 4*y**3 - 2*y**3 + y - 3*y**3.\nAnswer: 33*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365*o - 480 = 357*o. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000142451073 to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152) - (4 + sqrt(1152))*-5) + sqrt(1152)*-1*-4)**2*-6.\nAnswer: -693600 - 57600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p + 3*p + p + 7*p. Let x(q) = -24*q. Give x(w(n)).\nAnswer: -72*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3033 + -3?\nAnswer: -3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 170 + 174 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 10*a**2. Let h(u) = 569*u - 286*u - 286*u. Determine h(k(c)).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 800579567 to the power of 1\/3, to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*d*(d**(2\/23)\/d)\/d)\/(d**(-2\/13))**(2\/101) assuming d is positive.\nAnswer: d**(183912\/30199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 16, 2*b + 4 = 2*h - 18. Solve 3*c - h = 2*v, 16 = -5*v + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 120\/48*162\/(-50)*8\/(-2490) and 143\/30.\nAnswer: 12450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-22))\/3 + (85696\/176)\/26.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Let z(v) = w + 2 - v + 2. What is the units digit of z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -356, -339, -320, -299, -276?\n\"Answer: t**2 + 14*t - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. What is the second derivative of 186*r + 0*r**2 + r**y - 16*r**3 - 2 - 213*r wrt r?\nAnswer: -96*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10378.2 - 10378. Which is the closest to -0.2? (a) 25 (b) 1 (c) w (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711671395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.4, -4, -0.2, -28, 1.09?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1. Let z(d) = d - 3. Let m(x) = x**2 - 5*x - 15. Let f be m(7). Let o be (1 - -9)*f + 3. Calculate o*s(k) + 2*z(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 + 8*s**2 + s + 7*s**2. List the prime factors of w(1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Let h = -5171 + 5173. Which is the nearest to h? (a) -4 (b) 31 (c) -0.5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 + 0*k**2 - 2*k**3 + 9*k - k**2 - 3 - 10 - k**2 in the form m + s*k**2 + d*k**3 + w*k and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121 (base 11) in base 13?\nAnswer: 137b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -72 + 990. Let c = n + -19. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**3 - 260*i**2 + 2888*i + 3194. Let c(z) = -2*z**3 + 87*z**2 - 963*z - 1064. Let p(x) = -20*c(x) - 6*l(x). Factor p(a).\nAnswer: 4*(a - 23)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.99.\nAnswer: -0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2)\/((-2)\/6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -391 + 395. Calculate the lowest common multiple of 18 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/3))\/((v*v**(-2\/29))\/v))**(-35\/6)\/(v\/((v**6\/v)\/v)*v**(-7)*(v*v*v**(-3)*v)\/v**2) assuming v is positive.\nAnswer: v**(979\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/22 + -1 + 1080\/132. Let q be ((-4)\/(c\/3))\/(-1). Does q = 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-3)*528\/110. Calculate the highest common divisor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 138 = 2*o - 7*o, 4*o - 102 = 2*k. Let g = 36 + k. Let c(h) = h + 36. Does 3 divide c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:26 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(175) - 1*sqrt(175)) + sqrt(175)) + 3*(sqrt(175) - sqrt(175)*-1) + 5*1*(sqrt(175) + sqrt(175) + (2*sqrt(175) - sqrt(175))) + -2)**2.\nAnswer: -300*sqrt(7) + 39379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (234\/(-48))\/(252\/(-2016))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:22 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2960 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 53. Let h = -32 - -135. Let j = h - 929\/9. Sort -4\/7, j, 2\/9, z in ascending order.\nAnswer: -4\/7, j, 2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 + 3663?\nAnswer: 3727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 10 - (5 - 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 27126?\nAnswer: 27116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(7)*1*3 - sqrt(7) - sqrt(7)) + 0 + sqrt(1008)) - (-3 + sqrt(21)\/sqrt(3) + sqrt(7) + sqrt(63) + 3))**2.\nAnswer: 22743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -45*x. Let n(m) = -146*m - 1. Calculate n(a(u)).\nAnswer: 6570*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**3 - 5*a**2 + 5*a + 5. Let p(x) = -2*x**3 - 3*x**2 + 8*x + 13. Let s(l) = l**3 + l**2 + 1. Let i(r) = -p(r) + 5*s(r). Determine 8*b(m) + 5*i(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) 0 (c) 959 (d) 4 (e) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + 5*-5*1*sqrt(891)*1 + 1)*-6.\nAnswer: -5400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1834936 is divided by 1834908?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*q**2*r**5 - 3*q**2*r**2 + 2658*q*r**4 + r**3 - 152*r**2 wrt r.\nAnswer: -360*q**2*r**2 + 63792*q*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4623 + 92521\/20. Let x = 5698 - 56923\/10. Calculate the common denominator of x and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-105)\/(-14))\/(3\/8). Let m be 165\/25 + (-12)\/x. What is the third derivative of a**6 - 11*a**m - 28*a**4 + 28*a**4 + 5*a**2 wrt a?\nAnswer: -1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 0 (b) -4\/463 (c) 9\/8 (d) -0.5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -8 + -2 - (1 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57240 is divided by 1217.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319667745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1151 and -3457395262.95.\nAnswer: -3457394111.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t = -11*t + 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653 = -4*z - 93. What is the highest common factor of 28 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 2410 = f - 2388, 4*f - 102 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (436\/144)\/((-1)\/2) and 12 - (-248)\/624*-21.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1882*r = -1895*r + 4875. What is the greatest common divisor of 2875 and r?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i + 1. Let s(k) be the second derivative of -k**4\/3 + 2*k**3\/3 - 5*k**2\/2 + 8*k - 6. Calculate 10*p(o) + 2*s(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -526257?\nAnswer: -1\/526257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, n: 4, g: 6}. Give prob of sequence jg.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from aakiiiiakikaaaiiiia?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -153*g - g**3 + 306783*g**2 - 306783*g**2 + 8*g**2 - 8*g**2 + 3*g**3 + (-4 + 1 + 4)*(g**3 + g**3 - 3*g**3) to i*g**3 + h + r*g**2 + u*g and give u.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(-1 + 0 + 2)*(-5*c + 3*c + 4*c)*(20 - 11 - 8).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6315*m + 5527. Is 184 a factor of j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 1, k: 3, f: 2}. What is prob of picking 1 f and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-73 + 66 + 55)*(-2*v + 0*v - v).\nAnswer: -144*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5067 - 22.6167. Let h = -22 - a. Let u = 8501\/132 + -775\/12. Which is greater: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 2:21 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 3*h**2\/2 - 2*h - 1. Let o be y(3). Suppose -4*v + 35 - o = 0. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153404 is divided by 51088.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2*(-8571)\/6)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(76)*-2)\/sqrt(4).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15413, 15415, 15417, 15419, 15421?\nAnswer: 15423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 94, 167, 240, 313, 386?\n\"Answer: 73*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317184 is divided by 82.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -99, -178, -277?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.026 - -0.0259877. Round p to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5702 - 11755\/2. Let k = y + 184. Let x = k + -10. Is x not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 4:44 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 2b?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23035, -45976, -68917, -91858?\n\"Answer: -22941*j - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963.3208l to millilitres.\nAnswer: 963320.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + sqrt(176) - sqrt(132)\/sqrt(3)) + (sqrt(528)*-1)\/(sqrt(27)\/(sqrt(9) - (sqrt(9) + 1*sqrt(9) + sqrt(9)))))**2.\nAnswer: -60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -159 + 163. Suppose 0 = 4*n + h*m - 836, 3*n + 2*m = -n + 826. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/4*-1 + (-6)\/(-2). Let q(r) = 4*r**2 + 6*r**3 + r - 2*r**3 - 3*r**3 + 5. Let p be q(x). Solve 3*k - 2 = p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 521270*w**6 + 2*w**3 + 3293491*w**2 wrt w.\nAnswer: 62552400*w**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/30)\/(8\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + a - 158 = 0, 479 = -z + 4*z + 4*a. Suppose 5*b - 8*b = -z. Suppose b = 3*d + 3*n + n, 2*d = -2*n + 34. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a millennium in years?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-2*(-1)\/(-2)). Let o be (s\/2)\/((-3)\/(-6)). Solve 0*g**3 - 4*g**3 + 6*g**4 - 3*g + o*g - 6*g**2 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**2 + 11*w - 13. Let z be d(-8). Suppose 7*h = z + 2881. List the prime factors of h.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*-1*sqrt(95) - sqrt(95)) + sqrt(95)*-4*4)\/(-3*-1*(-2*sqrt(125) + sqrt(125))))**2.\nAnswer: 3211\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - 147 + 57 + 90 - 4*v)*(-4 - 2 - 1 + 2 + 3 - 3 - 3 + 0 + 1 + (-1 + 4 - 2)*(-1 - 1 + 0)).\nAnswer: -45*v**2 + 36*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-6)*3\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9960704137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 21*o**2 - 4 + 5*o**2 to f*o**2 + y + m*o and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73962 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 3*p**2 - 22*p - 6. Let z be a(-6). Is 19 a factor of (-15575)\/(-63) + -2 + 32\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1. Let m(p) = -8*p**2 + 10*p - 7. Determine -5*f(d) - m(d).\nAnswer: 8*d**2 - 10*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dod when three letters picked without replacement from ddodoodoofoddoo.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001010100111 (base 2) to base 12.\nAnswer: -22573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j**5\/7 - 94*j**4\/7 + 2456*j**3\/7 + 15252*j**2\/7 + 1664*j - 154 = 0 for j.\nAnswer: -7, -1, 1\/12, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -224\/13 at least as big as -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -543222.\nAnswer: 1\/271611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -36240 take away 4.16728?\nAnswer: -36244.16728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7976370005 divided by -5\nAnswer: -1595274001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 29becd?\nAnswer: -29bece","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 5\/(10\/8). Suppose 3*a - j*a - 2 = 0. Let q be a + -1 - (-8 - -4). What is the greatest common factor of q and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/60 - f**4\/24 + 5*f**3\/2 + 6*f**2. Let m be q(0). Suppose -1 = 2*o - m. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 156781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232 by -37771.\nAnswer: 232\/37771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-312)\/(-120)*(-10)\/(-44) and 63\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjoojjojjjoojjjoooo. What is prob of picking 1 o and 3 j?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 453 + 453 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u + 18*u**3 + u - u**2 - u + u**2.\nAnswer: 18*u**3 + 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*m**6 - 10*m**3 + 5*m**2 + 2*m + 653 wrt m?\nAnswer: -3840*m**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -619733\/55 + 11269. Calculate the common denominator of -97\/22 and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 + -75. Suppose 67 = 3*s + 4*x, s - 5*x - 47 + 12 = p. Calculate the highest common divisor of s and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-8)*(-1 - 1). Suppose -s - 49 = -4*o, -w*o + 5*s + 31 + 34 = 0. Suppose 4*q = o + 76. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(4\/5))\/13*84\/(-5712)*-68.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/6)*k))\/(k**(6\/5)\/k) assuming k is positive.\nAnswer: k**(-11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7856?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 15*b - 49. Give v(0).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28449?\nAnswer: 3, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 17 - 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 364586 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/((-96)\/(-60)*(-90)\/(-3)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43801\/18460 - -21\/923. Find the common denominator of a and 83\/232.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 - 464 = -6*a. Let s be 10\/3 - 1\/3. What is the third derivative of y**a + 8*y**5 - 4*y**5 + s*y**2 wrt y?\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*k**4 + 4*k - 989 wrt k?\nAnswer: 32*k**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -102*t + 68*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31089, -31056, -30961, -30774, -30465, -30004, -29361?\n\"Answer: 5*s**3 + s**2 - 5*s - 31090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129\/496 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, m: 4, o: 2, u: 1}. What is prob of sequence su?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 527*f*o*z**3 + 3*f*o*z + f*z**3 - 7*f*z + 846*o*z**3 + 5939*o - 3*z**3 + 2*z**2 wrt z?\nAnswer: 3162*f*o + 6*f + 5076*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118 and 1652?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 14*o - 10. Let x be (12 - (-2 + -1)) + -3. What is the remainder when 25 is divided by f(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189467 + 11133 = -17*a. Round a to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -45. Suppose 5*b = -10 + h. Let k be (-7 - -1) + (b - 3). Sort k, -2, 4 in ascending order.\nAnswer: k, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + -4. Let f = z - -47. What is the second biggest value in -0.4, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*u - 7*u + 60, 21 = 4*v - 3*u. Suppose 2*s = 3*z - 5, -3*s - 3 = -v. Suppose -z*y + 80 = -y. What is the greatest common divisor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 1 - 17. Let q = 8 - 6. Solve p*v = q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 3*z + 13, -4*h + 4965*z + 19 = 4964*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-12))\/(192\/(-288))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1820)\/(-168) + 12485\/(-1155).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/53886 and -11\/98.\nAnswer: 377202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -11)*3\/6. Let n(o) = 2*o + 6 - 2*o + 3*o + 0*o. Let u(s) = -2*s - 5. Calculate r*u(d) - 4*n(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (2 + sqrt(192))**2)*-1 - (sqrt(192) + sqrt(192)*1*1)) + 1.\nAnswer: 8*sqrt(3) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.12 (b) -2 (c) -0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 11*q. Suppose q*v + 5*v + n = 25, -10 = -2*v + 5*n. What is the smallest common multiple of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131225602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153 + -154.4. What is the biggest value in q, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(3) + 4)*-5 + 5)*-4)**2 + -2) + 1.\nAnswer: 9600*sqrt(3) + 19193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 104 = -4*i, -i = 4*v + 38 - 183. Calculate the highest common divisor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 890, 884, 876, 866, 854, 840?\n\"Answer: -x**2 - 3*x + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7*(406\/(-49) - -8)*1. Factor 3\/2*z**5 + 3 + 6*z**3 + 3*z**q - 6*z**4 - 15\/2*z.\nAnswer: 3*(z - 2)*(z - 1)**3*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -90. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9*w = -14*w + 48, 2*i - 3*w = -20. Suppose 10 + 5\/3*l**i + 35\/3*l = 0. Calculate l.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b954 (base 12) in base 16?\nAnswer: -6a390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50988, -197060, -440506, -781320, -1219496, -1755028?\nAnswer: -2387910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006262 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b45 - -1a2?\nAnswer: -29a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**4\/12 - v**3\/6 + 21*v**2\/2 - 676*v + 2. Suppose 2*o + 4*a - 4 = 4*o, -5*o = 5*a - 5. Give s(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 + s. Let w(t) = 6*t**2 + t. Let c(r) = 5*r**2 - 145*r + 146. Let g be c(1). Determine g*w(f) - 7*y(f).\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-5 - 2)) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -86421161 divided by 2?\nAnswer: -86421161\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 63787328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -127 and 1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -457 + 475. Let f be (-4)\/o*(6 + 60\/(-4)). Solve -f = -4*v - 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-1\/4)))**(-43)*((u\/u**(2\/5))\/u)**(-27\/5) assuming u is positive.\nAnswer: u**(1291\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 + -149. Suppose 0 = -18*y + 8*y. Solve y = -3*s + d*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*i - 44 = -14, 4*n - 3*i - 40 = 0. Let o be 3 - ((-78)\/n)\/(-3). Which is the third smallest value? (a) 3 (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10437704 to the nearest integer?\nAnswer: 3231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 3)*(17*s - 14*s - 193*s)*(s - 2*s + 2*s).\nAnswer: 760*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 19 - 3 = 0. Let w be -2 - (-3 + i) - (10 - 12). Let l(c) = 3*c - 3. Calculate l(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/7651 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 40*p + 1212. Determine s(-29).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.57 + 0.3. Let n = b + -0.83. Let u = -1.1000011 - n. Round u to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 901306027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -341829, -341839, -341851, -341865, -341881, -341899, -341919?\nAnswer: -341941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b3cc (base 16) to base 13.\nAnswer: 3ba1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3032801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 5*u + 7*u, -4*u = 2*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4682*a**3*g**3*q - a**3*g**3 + 4*a**3*q + 1001*a**2*g**3*q - 3*a**2*g**3 + 2*a**2*g - a*g**2*q + a*g*q - g**3 wrt a.\nAnswer: -28092*g**3*q - 6*g**3 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m, -x + m - 2*m = 4. Let a be (-1)\/((2\/x)\/(-1)). Let j = 35\/33 + -103\/66. Is j bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3836\/(-14)*2\/(-560) and -117\/98?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/((-1155)\/(-9))*12\/(-18).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164 and 4059.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 9. Let l be (-58)\/(-8) - (-4)\/(-16). Let v be i(l). Suppose 3*c = -v + 52. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**6\/30 - d**4\/24 - 7*d**2. Let g be (-75)\/(-25)*(-2)\/6. Determine t(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55656.215304406 - 0.8?\nAnswer: 55655.415304406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 187 + -75. Suppose -5*y = -3*y - m. Calculate the remainder when y is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001415 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.557818 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 14424 = 3*q, -q + 2991 = -v + 111. Let m = 11101 + v. Is (1\/(-2))\/((-7)\/m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 5\/((-15)\/(-6)). Find the third derivative of -2*i**2 + 0*i**w - 3*i**3 + i**2 wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*64\/(-56). Let o = 20 + -22. Suppose -17 = 2*l - 3*p, 3*l + 19 = 2*l + 5*p. Sort o, u, l in ascending order.\nAnswer: l, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (17 - -1) + (0 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + s - 4. Let g be t(-4). Suppose -a - g = -5*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.226 + -0.226. Let n = 4 + -4.3. What is the nearest to -1 in -5, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 326404.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 280*i - 17833. Determine o(-98).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-416)\/736) + (-16 - -6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 800 + -401. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59395 divided by -11879.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.6 - -44.585. Let z = -43.415 - g. What is z rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2136240 divided by -137.\nAnswer: -2136240\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.2 - -12. Let f be (-2)\/(-9)*(1 - -3 - -2). What is the fourth smallest value in f, -1, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118793 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16123 + -15941. Calculate the smallest common multiple of d and 70.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 13. Let i be w(-5). Which is smaller: i or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - 1807631.319434.\nAnswer: -1807622.319434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3704756723 to the nearest integer?\nAnswer: 60867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Suppose p = -0 + 6. Let d(k) = 2 - p + 0*k + 1 + 4*k. Give d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56623 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -42. What is the units digit of m\/(-3 + 66\/21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -0.2 (b) -1\/4 (c) -3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2 + 52078212*m + 678035041279236 = 0.\nAnswer: -26039106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 516\/90 - 5\/(-3) and -50\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001644926 rounded to six dps?\nAnswer: 0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.5. Let j = 23513 - 23518. What is the closest to 1 in 0.4, 0.8, q, j?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*s - 2648660*s**2 - 51*s + 100*s.\nAnswer: -2648660*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120a8 (base 11) in base 3?\nAnswer: 122020201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11678 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-5.7.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*i = 625*i + 5*z - 65, 57 = 4*i - 3*z for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 15*u - 8. Suppose -4*x + 22*m - 23*m = -72, 0 = -3*x - 2*m + 59. Calculate y(x).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a millennium in centuries?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40274758.\nAnswer: 2, 1627, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 59136 divided by -168\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**5*q + 3776*b**5 - 14*b*q - 2*b - q + 101 wrt b.\nAnswer: 40*b**3*q + 75520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 + 5 - 5 + (-27 - 7*a + 27)*(7*a**2 - 2*a**2 - 3*a**2) in the form n*a + v*a**2 + q*a**3 + s and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287923869?\nAnswer: 3, 10663847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 538200 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/1*((-4)\/14)\/((-548)\/(-959))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*n**2 - 402*c**3 - 7*c**2*n**2 + 313*c**2 + 21080*c*n**2 - n**2 - 2*n wrt n.\nAnswer: 2*c**3 - 14*c**2 + 42160*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -7. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a day in minutes?\nAnswer: 27840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 39 = 5*x, x + 19 = -12235*r + 12238*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 346*l**2 + 3*l - 1. Let b(u) = -u**3 - 3*u**2 - 6*u - 17. Let f be b(-3). Let d be r(f). What is the greatest common divisor of d and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 2. Let v(i) = 2*i**2 + 3. What is -5*h(y) - 4*v(y)?\nAnswer: -3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 1 = -5*h + 2*w, 5*w + 18 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.207246 rounded to 3 decimal places?\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r\/(r**(-7)*r)*r)\/r*r**6*r**1*r**(1\/5)*((r*(r**4\/r)\/r)\/((r\/(r*r**(1\/3)))\/r))**25 assuming r is positive.\nAnswer: r**(1853\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1014 (base 5) to base 13\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213378*y**4 - 34*y**3 + 202*y**2 + y + 63977.\nAnswer: -5121072*y - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2207414 by -4.\nAnswer: -1103707\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795360 is divided by 103?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 4:41 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52117213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3\/2 + (-3438)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525 and 8421?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**3 - 3*g**2 - 10*g + 68. Let n(b) = -12*b**3 + 5*b**2 + 20*b - 135. Let i(u) = 2*n(u) + 5*x(u). Is 5 a factor of i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvibjivvbijpjjvj. What is prob of picking 1 b, 1 j, and 1 p?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201022 - -1003000222?\nAnswer: 1003201310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 - 9.9. Let d = -7.5006 - p. Round d to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 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: Simplify ((b*b**(-8)\/b*b)\/b)**4*(b*b*b\/(b*b**(-4\/7)))\/(b*b**(1\/44)) assuming b is positive.\nAnswer: b**(-9379\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/4 (c) -2 (d) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5290 and 243570.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i + 2. Let s = -459 + 458. Determine z(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -75a + 8?\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/4*7\/(13651925\/11810). Let i be (3\/1293)\/(4\/6). Let a = h - i. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 5, a: 5, v: 5, c: 1}. Give prob of sequence fyf.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**5\/60 - s**4\/24 - s**3\/6 + s**2 + 16. Calculate v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 956 = 5*g. Suppose 0 = 3*s - m - 4*m - g, 4*s + m = 357. Let l = 22 - 14. Calculate the highest common factor of l and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139010.87 rounded to the nearest 10?\nAnswer: 139010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3998*4.\nAnswer: -15992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*y**2 - 3*y + 260*y**2 + 83*y**2 - 140*y**2.\nAnswer: 425*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2604783*1.\nAnswer: -2604783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2094 + -2103 + (0 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = -0*z. Suppose 0 = z*g - g - 1. Put -1, g, -3 in descending order.\nAnswer: g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 2411460.\nAnswer: 16880220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j + 2*r + 10 = -33*j, -r = -2*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 12516.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-200))\/((-6)\/(-10))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 0*f**3 + 1\/3*f**4 + 0 + 0*f**2 - 43*f. Let w(a) = -2*a. Determine w(p(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78331168 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5630 and 9.\nAnswer: 50670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33788433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 - 2 = 0. What is the units digit of ((b + -176)\/2)\/((-4)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6532942186 to the nearest integer?\nAnswer: 80827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 621*s - 53 + 21 + 622*s.\nAnswer: s - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/56 + 599\/4. Let j = x - 123. What is the highest common divisor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1936, 4486, 7176, 10006, 12976, 16086?\nAnswer: 19336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73438 >= 0.85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 29441*q + 16. Let m(g) = 8164969*g + 4438. Give 8*m(t) - 2219*o(t).\nAnswer: -9827*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -9. List the prime factors of v\/(-15) - 2808\/(-30).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uggs when four letters picked without replacement from hugghuusgg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 2*g - 4*g**2 - 6*g**2 + g**3 - 1 + 0 to b*g**2 + y*g**3 + l + c*g and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*j + 320*j - 31*j - 835*j.\nAnswer: -845*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 6*v - 6. Let f be h(-6). Suppose -9*k = -7*k. Let t(o) = k + 2*o - 7*o + 4*o - 4. Determine t(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613*v = -588*v - 2200. Suppose -5 = -4*c + 27. What is the greatest common divisor of v and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 17 = -33. Let k = y + 50. Solve d - 3*d + 2 = k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 14*u**2 + 15*u + 3. Let p be w(15). Solve -4 = n - p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204244240 (base 5) to base 2\nAnswer: 11010000010001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - c = -4, 0*c - 2*c = -8. Let b be 54\/15*15\/6. Suppose 3*i - b - 6 = k. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3260 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**7\/105 + j**6\/120 + 9*j**5\/10 + 11*j**4 - j**3\/3 - 2019*j**2. Find the second derivative of y(l) wrt l.\nAnswer: -24*l**2 + 6*l + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 9. Suppose -5*p - w - 42 = -2*p, l*w + 66 = -5*p. Let v = -2 - p. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444907 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 2479?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -38*m - 70, 0 = -1213*o + 1192*o - m + 7 - 72 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 4*c**3\/3 + 118*c. Let b(a) = 21*a. Let f(q) = -5*q. Let t(w) = 2*b(w) + 9*f(w). What is k(t(d))?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(sqrt(304) - (4 + sqrt(304) + sqrt(304) + sqrt(304) - sqrt(304))))**2.\nAnswer: 288*sqrt(19) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8310956 divided by -166\nAnswer: 50066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 5\/3 (c) -0.743 (d) 4 (e) 1820\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424160 is divided by 142357?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123397 - -493619\/4. Suppose 4*r + 16 - 68 = -2*g, -3*g - 4*r + 82 = 0. Find the common denominator of 0 - (0 - 58\/g) and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 304857127 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11 + 4*a**3 - 6*a**2 - 18*a + 1 + 3*a**3 - 5*a**3.\nAnswer: 2*(a - 5)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 92\/(-28) - -6 - 2\/(-7). Suppose 5*u + 6 = 2*u. Suppose -2 = -k - 7. Sort u, r, k in decreasing order.\nAnswer: r, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*z**2 + 190556*n**2*z + 1480*n*z**2 + n*z - 2*z + 8 wrt n.\nAnswer: -2*z**2 + 381112*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1820\/230 + -8 - 754296\/138. Which is smaller: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(-2)\/(-39)*3834\/568?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*w, z - 4*z = 4*w - 26. What is the closest to z in 0.2, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 93*d - 6979. Determine u(75).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1620*n**2 - 1904 with respect to n.\nAnswer: -3240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*r - 2*k, 183*k = -2*r + 178*k + 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 3*x + 109 - 131, 134*x - 136*x + 9*r - 37 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2210, 2177, 2144, 2111?\n\"Answer: -33*s + 2243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**2 - 5*s - 2. Give r(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*sqrt(245))**2 - 4*(sqrt(245) + 1)**2.\nAnswer: -56*sqrt(5) + 2934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + v - 1 - 2)*(4*v**2 - 29 + 30 - v**2 - 2*v**3) in the form m*v**4 + f*v + x + q*v**3 + h*v**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 0)*(-3*u - 21*u - 5*u)*(-u**2 + 5*u**2 + 2*u**2).\nAnswer: 870*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -5*g + 4*h, -g - 4*h + 1 = -7. Let m = 11 - g. Suppose 3*p - 2*k = 76 + 7, -4*p - 2*k + 120 = 0. What is the remainder when p is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230280193?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1908*x + 2982 = -1907*x - 3*k, 2954 = x + 4*k. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nune when four letters picked without replacement from {e: 8, u: 7, p: 2, n: 2}?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -21\/4 (c) -0.3 (d) -0.02 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16\/5 (b) -0.3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*t + 19 = -2, -3*t = -d - 4. Solve -3*s + 20 = -d*z, -2*z - s = z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 10*o + 28. Let x be n(12). Suppose x*j - 12*j = -1016. Let i = j + 43. Calculate the greatest common factor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-42 - (-33090)\/840) + 11\/4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*((-3)\/(-21))\/(-15*28\/(-1470))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 514 - 330. Suppose 52 = -3*n + m. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -8*g**2 + 1134*g + 1142 = 0.\nAnswer: -1, 571\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y - 12 = 31*y. Suppose -243 = -y*p - 7*f + 10*f, 3*f + 79 = p. What are the prime factors of p?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3\/11 + 68918*s**2\/11 - 551086*s\/11 - 4478630\/11 = 0.\nAnswer: -5, 13, 34451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(4*z - 2*z - z)*(-17*z**2 - 13*z**2 + 20*z**2) in the form y*z**2 + r + a*z + l*z**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 33*t - 130. Give f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b + 1. Let d = -439 - -433. Give m(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*i + 1, 3*n + 0*n = i - 8. Let d = 0 - i. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/1349 - 4059\/5396. Which is the nearest to 0? (a) n (b) -1.86 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -2174 + 7297. List the prime factors of l.\nAnswer: 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-5)\/(10\/2). Differentiate 9*o**2 + 2*o**3 + 162 - 34*o**2 - 13*o**w wrt o.\nAnswer: 6*o**2 - 76*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*a**2 + 0*a + 0.\nAnswer: a**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 6*b**2 - 3*b. Let y be h(-6). Suppose 0 = -3*t - p + 1, 5*p - y = 4*t + 6. Sort 4, -2, 12, t in ascending order.\nAnswer: -2, t, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f + 4*o = -27*f - 20, -f - 7*o - 26 = 0 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23486 + -6966. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -8883209.\nAnswer: 1\/8883209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 534 and 96?\nAnswer: 8544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -400, -345, -254, -127, 36, 235, 470?\n\"Answer: 18*c**2 + c - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -3514.7.\nAnswer: -3512.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (6 + -4)) + 9. Solve 6*z = -j + 3*z - q, -2*j + 2 = -3*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5 + 72*b**3 + 128*b**2 + 60*b = 0. Calculate b.\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/7 (c) 1\/41 (d) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 13. Suppose -3*t + j*p - 2*p = 0, t - 5*p = 17. Suppose -5*w + 6 = 3*a - t, 2*w = -2*a + 8. Calculate the common denominator of -38\/67 and a.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**14*(y*y\/y**(-1\/3))\/y*y**(1\/4))\/((y*y**(2\/9))\/(y**(3\/2)\/y))**(-8\/11) assuming y is positive.\nAnswer: y**(6379\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 7*m + 8*m - m - m + 3*m - 1 + 1 - m + (-m - 3 + 3)*(-2 + 0 + 3) + 2 - 2 + 2*m + (-2 + 1 - 1)*(2*m - 1 + 1))*(-50*m**3 - 15*m**3 + 19*m**3).\nAnswer: -276*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d + 5. Let b(x) = -6 - 5 + 3 + 6*x. Let n(r) = 5*b(r) + 8*o(r). Let m(h) be the second derivative of -h**3\/6 - 2*h - 201. Determine n(m(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6*11\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9*g**2 - 13*g - 11. Let q(m) = 4*m**2 + m - 2*m + m**2 + 8*m + 6. Calculate 11*q(l) + 6*s(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*l + 2, 0 = 5*l + 5*o + 19 + 1. Sort 4, -15, l in increasing order.\nAnswer: -15, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 - 6 = 0. Let r(k) = k**2 + k + 1. Let s(v) = 5*v**2 + 2*v + 4. Let a(m) = n*r(m) - s(m). Factor a(j).\nAnswer: -j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11243 - -1 - (3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 9. Let t(u) = u - 4. Let b be t(6). Let k(x) = 11*x**b - 6*x**2 - 2*x - 6*x**2 - a - 3*x. Determine k(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/3 - 4*o**4 + 11*o**3 + 74*o**2\/3 - 128*o + 96 = 0. Calculate o.\nAnswer: -3, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99\/94 in 0.14, 0.07, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*j**2 + 3 + (j + 0*j + j)*(4 + 2*j - 4) + j**2 + j**2 + 0*j**2 + 3*j**2 - 4*j**2 + 0*j**2 - 7*j**2 + 83*j - 83*j to b*j**2 + h + l*j and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155901\/18024185 - -21\/15083. Let k = v + 9843\/90820. Let b = 1041\/836 + k. What is the common denominator of 29\/9 and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4*p*p**(-5)*p)\/(p**1)**(8\/21))\/((p**1)**(-50)\/(p\/p**(2\/3))**(5\/4)) assuming p is positive.\nAnswer: p**(1429\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 10*r + 11. Give o(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3555127 (base 8) to base 2\nAnswer: -11101101101001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1690)\/(-195))\/(1\/105) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39671 is divided by 544?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147287\/2 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -168749*x. Let d(a) = 44*a + 1. Determine h(d(y)).\nAnswer: -7424956*y - 168749","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4\/2 + 158761*w**3 - 5080041*w**2\/2 - 8731396*w - 6032614 = 0. What is w?\nAnswer: -2, -1, 19, 317506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.027 - -0.027. Is d not equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*v + 5*z, 4*z - 1 = -v + z. Let f(a) = a**2 + a - 1. Let o be f(v). Suppose r = -3*y + y - 5, -y = r + o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/10 - 323*m**2.\nAnswer: m**2*(m - 3230)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/5, -0.4, 3, 0?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:02 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - v - 5 = 0, -t + 2*v = -v - 5. What is the third biggest value in -6, -0.07, t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 5, -1, 1 in ascending order.\nAnswer: -6, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 970519\/43134 - 2\/21567. Factor -9 + 4*u**2 + j*u.\nAnswer: (u + 6)*(8*u - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**6 + 25*m**5 + 287*m**2 - 5?\nAnswer: 480*m**3 + 1500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3263 - 0?\nAnswer: 3263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7199957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 324033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 12. Let k = -1492 + 375. Let d = 1120 + k. Put d, p, -1, 6 in decreasing order.\nAnswer: 6, p, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2094508887 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2 - -2)\/2)\/1. Sort y, -4, -3.\nAnswer: -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a**2 + 14*a + 5. Let x(r) = -12*r**2 + 14*r + 5. Let q(o) = -4*k(o) + 3*x(o). Is q(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 10. Let f(m) = -m**2 - 10. Let c(y) = -6*f(y) + 5*n(y). Is 10 a factor of c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 6 = -22*z. Let k(x) = 2*x**2 - x + 1. Let l(s) = -9*s**2 + 4*s - 4. What is z*l(v) + 26*k(v)?\nAnswer: -2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159 and 3074?\nAnswer: 9222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1430 times 13\nAnswer: 18590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71253 and 26274?\nAnswer: 21518406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38.92 - 2.08. Which is the nearest to -1\/2? (a) 1\/4 (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4660 - 155\nAnswer: 4505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/7 and 1\/369380087?\nAnswer: 2585660609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1274 and 23\/80080.\nAnswer: 560560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(847)*1)**2.\nAnswer: -66*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -43*n - 2*n**2 - 6 - 7 + 3*n**2 + 28*n. Let u be j(16). Let d(i) = 2*i**2 + 7*i - 3*i**2 + 1 - 2 + 0. Determine d(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 8979 - 8979.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 52 + (0 - -1). Let v = l - 28. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140.475 + -2.2342\nAnswer: -142.7092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*i + 299 - 269 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.21568 and 3018.\nAnswer: 3015.78432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - ((-19 - -20) + 19) - -45.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 459*g**2*w - 684*g**2 wrt w?\nAnswer: 459*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.7. Let d be (16 - 10\/1) + -1036. Let c = 7209\/7 + d. What is the biggest value in j, 0.4, c, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 9*i**2 + 6*i - 6. Let w(d) = -d**2 - 1. Let h(b) = -v(b) + 6*w(b). Let r be h(-15). What is r rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*t + 46*t - 36*t = -653346. Which is smaller: 11987\/2 or t?\nAnswer: 11987\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**6\/180 + n**5\/30 - n**4\/12 + n**3\/3 + n**2. Let s(a) be the first derivative of m(a). Calculate s(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -26408421?\nAnswer: 7922526.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 115 = -121 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -703693*x. Let y(n) = 16*n**2. Determine y(f(u)).\nAnswer: 7922941411984*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*o + 3*x - 8, -4*o + x = -7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*q - 20, -c + 4*c + 4*q = 12. Let z be ((-2 + 1)*1)\/((-13)\/(-65)). Let k be (-40)\/(-25)*30\/(-12). Sort z, k, c in descending order.\nAnswer: c, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22638 + 2.041.\nAnswer: 1.81462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175465747?\nAnswer: 29, 6050543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1215 - 1198. Which is the biggest value? (a) z (b) 1 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*y - 180*y + 294*y = -9720 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/9 (b) -41 (c) 2\/7 (d) 2\/9 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 5233603.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 7:01 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 0 + 13*i**2 + 7)*(5 - 11*i**2 - 5) as z*i + v + c*i**3 + u*i**4 + o*i**2 and give u.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -859, -266, 313, 872, 1405, 1906?\n\"Answer: -y**3 - y**2 + 603*y - 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3296286.\nAnswer: 2, 3, 7, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, g: 2, s: 5}. What is prob of sequence sg?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/2, 0.143 in descending order.\nAnswer: 4, 0.143, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z**2. Let t(k) = -2*k**2. Give i(t(r)).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + (-9 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8504.69 from -30.1.\nAnswer: -8534.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(143)\/((sqrt(110) - sqrt(110)*-3)\/sqrt(10)) - ((sqrt(13)*-1)**2 + -4)*4)*3.\nAnswer: -9*sqrt(13)\/4 + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/81, 1\/3, 0, -2\/9, 5, -20 in descending order.\nAnswer: 5, 1\/3, 2\/81, 0, -2\/9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -210460.951 to the nearest ten.\nAnswer: -210460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = -2*j + 12, 0 = 2*j - 5*a - 15. Factor 4 + j*o**2 + 2*o - o**2 - o**2.\nAnswer: -2*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29485, -58965, -88429, -117871, -147285, -176665, -206005, -235299?\n\"Answer: c**3 + 2*c**2 - 29493*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366396 is divided by 366396?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219934497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -5, 3, 5414 in descending order.\nAnswer: 5414, 3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*v + 50*v - 584*v + 449*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(5\/(-8)))\/((-152)\/(-380))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022 a factor of 382257078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(1\/8))\/m)\/(m\/(m*m**(1\/11)*m*m)))**(1\/7))**(10\/9) assuming m is positive.\nAnswer: m**(865\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 15666*f + 219354. Determine c(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 5*w**2 - 7*w. Calculate the lowest common multiple of z(-5) and 45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34038533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + d**2 + 19. Determine s(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d - 51. Suppose -7 - 74 = -9*r. Calculate the remainder when d is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 66*q = -135 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26*6\/10*105\/(-126)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -491 or -539?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2\/9, -917 in decreasing order.\nAnswer: -2\/9, -6, -917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9716420 by -2429105.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 22*g + 37*g + 163*g**2 - 165*g**2.\nAnswer: -2*g**2 + 54*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*d - 49, 2 = m + 5*d - 3. Let x be 6\/(-5)*25\/m. Find the third derivative of 39*u**4 - 19*u**4 + 8*u**2 - u**x + u**3 wrt u.\nAnswer: 480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1585 or 1?\nAnswer: 2\/1585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/((-4218)\/209))\/((-2)\/18)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58 and 319.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*q - 68*q = -2488. What are the prime factors of q?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 743 - 743 + 214*u + u + 0*u + u + (1 - 2 + 2)*(-3*u + 0*u + 4*u) as w + t*u and give t.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14085 divided by 2817?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 14) to base 13.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12a + -5a798?\nAnswer: -5a8c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11574.\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -492011 or -492014?\nAnswer: -492011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 t, and 1 i when three letters picked without replacement from bibititgiitttiiiti?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(sqrt(468)*1 + -4 + sqrt(468) + sqrt(468)*2*2 + -1)**2.\nAnswer: -2160*sqrt(13) + 101236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 2, k: 1, r: 14}. Give prob of sequence lx.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-28)*-1 - (-1 + (-2868864)\/56) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 6. Let x(j) be the first derivative of -j**4\/2 + j**3\/3 + 2*j - 16. Let c(g) = -8*g**3 + 4*g**2 - g + 9. Calculate t*x(z) - 2*c(z).\nAnswer: -2*z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/((-48)\/(-153)))\/(3\/4). Calculate the highest common factor of 4131 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 311 - 87 = 2*n, 5*n - 547 = -4*b. Let i be n\/21 + 2\/(-7). Let w be 4 - (5 - (i + -2)). Solve t - 2 = f, 5*t - 4*f + w*f - 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238156507 to the nearest integer?\nAnswer: 15432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (-1)\/(56\/(-304)))*175\/(-225). Factor -8\/9 + 2\/9*c**4 - 10\/9*c + 2\/3*c**2 + z*c**3.\nAnswer: 2*(c - 1)*(c + 1)**2*(c + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ili when three letters picked without replacement from {h: 1, z: 1, l: 3, i: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 233.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -63. What is the third smallest value in h, 12, 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let x(c) = c**2 - 5. Let r(q) be the first derivative of 6*q - 1. Let m(o) = -5*r(o) - 6*x(o). What is p(m(i))?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 20*l - 14. Let r be c(-9). Solve r*u = u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -112167409, -112167408, -112167407, -112167406?\n\"Answer: s - 112167410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v. Let p be (2 - v)\/((-42)\/9). Let k be (2\/(-3))\/(0 + 2). What is the closest to k in -1\/5, 4\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5222 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p**2. Let x(f) be the first derivative of 23*f**2\/2 - 1716. Determine t(x(l)).\nAnswer: -5819*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*16*((-9)\/153)\/((-122)\/3111)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/10*(1 + -1). Suppose u = 4*h - 3*h - 204. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2943*-22674\nAnswer: 66729582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1534 - -1529. What is the biggest value in 19, -0.1, h?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1178096790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2100)*1)\/(sqrt(28)*6) + 0 + 2*sqrt(33)\/sqrt(11)*-2.\nAnswer: -19*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/5 - 64*j\/5 - 112\/5.\nAnswer: -4*(j + 2)*(j + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 31*g**5\/20 - 3*g**2\/2 - 13*g + 14. Let m(o) be the first derivative of q(o). Differentiate m(d) with respect to d.\nAnswer: 93*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*g + 3*g + g)*(-2 + 2 - 5 + (-5 + 1 - 2)*(-7 - 1 + 3)).\nAnswer: 525*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = g - 10, 4*o - 27 = -0*o + 3*g. What is the remainder when o is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3427*w + 7600. Is s(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 20 = -5*k. Let m be (352\/20)\/(2\/k). Suppose m = 2*o + w - 6*w, 3*w = 5*o - 239. Calculate the remainder when o is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 2*v - 35. Suppose 12 = -4*o - 0*o, 4*o = -5*x + 8. Let f be 3 + 7\/(14\/x). What is the highest common factor of f and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33509\/5 + 6718. Is 1\/34 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/3 + 78*b**3 + 7186*b**2\/3 + 6650*b + 4332 = 0. Calculate b.\nAnswer: -57, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.632 in -0.3, 5, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.59 + -7.59. Put j, -4, 183 in increasing order.\nAnswer: -4, j, 183","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-299)\/(-4) + (-2 - 36\/(-16)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + j + 1. Let k = 30 + -27. Let y be k\/(-7) + (-1 - 270\/(-42)). List the prime factors of h(y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (45\/((-20)\/4))\/(-1). Suppose 5*s = 3*w + 14 + 25, w = s - v. Suppose 0 = -2*p - s*b + 4*b + 58, 2*p - 40 = 4*b. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4 = o, -2*r + r + 20 = 3*o. Let v(w) = -w + 6. Determine v(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8*(5 - 16).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1152 + 1.8152. Which is the second smallest value? (a) -1\/6 (b) o (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1096296 divided by -548148\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 386561252 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 5*o**2 + 5*o - 1. List the prime factors of i(6).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/2 (b) 12 (c) -1.7 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.168, 15.15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 2)*(19*g**2 - 66*g - 17*g**2 - 10*g**2) in the form m*g**2 + w + k*g and give k.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 995 - 999.17. Let g = s + 3.9. Let o = g + -0.13. Sort 0, o, -0.1.\nAnswer: o, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56495 divided by 11299\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 867600 divided by 57840?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 15*m**2 - 29*m + 127. What is the hundreds digit of a(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 4\/(-40) + (-13 - (-633)\/30)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9472500, -9472496, -9472490, -9472482, -9472472, -9472460, -9472446?\nAnswer: -9472430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 174\/10 - 18\/405*9. Suppose -591000 = -c*q + 14*q. What is q rounded to the nearest 1000?\nAnswer: 197000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5509005113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 5) in base 14?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1359*0.4\nAnswer: -543.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 7*t - 6. Let d be a(-5). Suppose -d*p = 3 - 15. Is 112 + -3 + -1 + p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -9 - (-4 - -6)) + -5 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/31)*f**3\/f)\/(f**(-35)*f**2*f) assuming f is positive.\nAnswer: f**(1053\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1 + -4 + -2 + -5 + 1 + sqrt(1100) + sqrt(1100))**2 + 5).\nAnswer: -1320*sqrt(11) + 13578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2 - 3. Let u(c) be the second derivative of 3*c**4\/4 - c**3\/6 + 7*c**2\/2 - c + 31. Determine 7*p(a) + 3*u(a).\nAnswer: -a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27062 by 1022.\nAnswer: 1933\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -7.1 (c) 3\/4 (d) 1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07357 rounded to three decimal places?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964032909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2814\/469)\/(6\/(-4)*(-10)\/8)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -68, -158, -284, -446?\n\"Answer: -18*x**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -440 - -446. What is the remainder when 6 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7155 - -35919\/5. Is z < 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from icciibciicibbb?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/17 in 2\/17, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -544707 or -544734?\nAnswer: -544734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*((n*n**11)\/n)\/n*n*(n*n**3)\/n*n**(-5)\/((n\/n**(5\/2)*n)\/n*n) assuming n is positive.\nAnswer: n**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-1 - 0)*1. Let u = 4 + h. Let 4*k**3 + 6*k**2 + 1 + k**4 + u + 4*k - 1 = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (637\/78)\/49*8 - 8\/(96\/25)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 21*o**2 - 2*o - 7. Let v(z) = -46*z**2 + 4*z + 16. Let h(u) = 13*s(u) + 6*v(u). Determine h(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 2*t**2 + 4*t - 2. Suppose -4*y - a + 16 = -0, 8 = 2*y - 4*a. Let k be 10\/y + (-2)\/(-4). Determine s(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -233349, -233347, -233329, -233289, -233221, -233119, -232977?\n\"Answer: o**3 + 2*o**2 - 11*o - 233341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 184\/32 - (-1)\/4. Let y be ((-3)\/x)\/((-2)\/4). Let d(a) = 16*a - 1. What is the units digit of d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183462.\nAnswer: 2, 3, 30577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2 + 168*h + 167 = 0.\nAnswer: -167, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 1 - 0. Let c(i) = -i**3 + i**2 + 1. Let y = 512 + -514. Let t(k) = 7*k**3 - 3*k**2 + k - 3. Let o(q) = w*t(q) + y*c(q). What is o(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48112820 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-384)\/320*10\/(-4)*3*171\/(-27)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 646 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1235.7 + 1235.4. What is the biggest value in 5, -0.5, 41, 2\/11, l?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -2*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145135042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -257, -262, 243, 1522, 3839, 7458?\n\"Answer: 44*p**3 - 9*p**2 - 286*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 562 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o**2 + 85942*o - 343987. Give n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 4*r + 9. Let u be ((-12)\/15)\/(2\/r). Let l be 0\/(2\/u*-6). Is l != -10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521021.\nAnswer: 521021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 544 - 270 - 32*x**2 - 274. Let d(b) = -2*b. Give w(d(l)).\nAnswer: -128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4 - 4 - 7 + 3 + l**2 + 2*l. Let q be h(-5). Suppose 9*f = q*f - 24. Solve 0 = -2*m + 3*m - 4, -m = -4*p + f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-6)*10\/15. Let g be -4*(4\/(-16))\/(a\/(-26)). Calculate the greatest common factor of 39 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 422 + 103 + 106 - 6080*x + 105.\nAnswer: -6080*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/((-12023)\/118044)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -u + 26, 2*u - 5*u = 4*q - 14. Suppose 0 = 2*t + 4*i - 38, 3*t + 5*i - u - 42 = 0. Suppose -t*h = -14*h + 320. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -19. Suppose 0 = 4*m + 8, -k*m + 77 = 2*c - 45. List the prime factors of c.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + 3*i - 2*i)*(i**2 - 3*i**2 + 3*i**2) + 22*i**3 + 12*i**3 - 16*i**3 in the form h*i + d + x*i**3 + f*i**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297145836 + 686*m**2 - 297145836.\nAnswer: 686*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*v - 195 = 0, 16*r - 595 = 13*r - 4*v. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147321925.\nAnswer: 5, 1019, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 932 (b) -8 (c) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -15*f**3 + 3*f**2 - 5*f + 1. Let m be k(-4). Let a = m - 546. Suppose -6*j + a = -3*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324339?\nAnswer: 3, 73, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -3*g**6\/40 + g**4\/3 + 4*g**2. Find the second derivative of s(p) wrt p.\nAnswer: -54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3 = 5*i, -j + 0*i - 2*i + 9 = 0. Suppose -3*f + 82 = -30*f + 217. Suppose 0 = z + 2 - 6. Solve -z*p + j = -f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/6 - 5*m**3\/6 - 7*m**2\/2 - m. Let h be w(-3). Is -11 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2*32\/608)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 18619321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * 682.\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3843618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6339731059 to the nearest integer?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -n - 264. Solve -12*i - n = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/7)*c\/(c*c**6))\/((c**14\/c)\/(c\/c**(-10\/3)*c)))**(10\/13) assuming c is positive.\nAnswer: c**(-2780\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 190427330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by 20\nAnswer: 29\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.03, -209\/3, -1, -1\/10, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5404 divided by 106.\nAnswer: 2702\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p**2 + 5*p - 7*p**2 - 7*p**2 + (-5*p + 2*p + 2*p)*(2*p + 2 - 2) - p**2 + 4*p**2 - 4*p**2 to the form t + r*p**2 + u*p and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -122a426 - -5?\nAnswer: -122a421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 2 - 12\/(-4). Suppose -z = -5*y + z, 3*y + 4*z - 26 = g. Suppose 3*b = 2*p - 842 + 2257, y*b + 2*p = 930. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 27*m + 150. Solve 22 + 8 = m*t + 5*l, 15 = 5*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5621\/(-440) + 12 - 2\/16 and (-5)\/2*118\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaedaableladbbd. Give prob of sequence bebd.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17490)\/220)\/(3 + 15\/(-7)) + 18\/(-72)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(1845\/120)\/41\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 - 2 + 2 + 0*a + a**2 + 0*a + (0*a - 5*a + 4*a)*(0 + 0 - a) + 10*a**2 + 3*a**2 - 2*a**2 + (-2*a - 2*a + 3*a)*(-4 - 2*a + 4).\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(7\/2)*o**(-1\/19)*((o\/o**(2\/7)*o)\/o*o)**29 assuming o is positive.\nAnswer: o**(14141\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52\/41 - -1468\/123. Let i = w - 331\/33. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10112010 (base 3) in base 13?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 10*s - 1152. Let a = s + -77. Let k(v) = 8*v**2 - 17*v + 5. What is the hundreds digit of k(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 241 - 191 = 0. Let p(o) be the second derivative of -z*o + 0 + 0*o**2 - 1\/70*o**5 - 1\/14*o**4 - 2\/21*o**3. Solve p(b) = 0 for b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = -18*y + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -573195935407\nAnswer: -573195935407.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 6*z + 4. Let m be y(-5). Let r = -5 + m. Suppose 3*k = -5*s + 112, r*s + 9 = k - 0*k. What is the common denominator of 65\/2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/99 - 14\/(-77).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 plus 1149566.91775?\nAnswer: 1149566.90775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6476.1672 and -9.\nAnswer: 6467.1672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/49*(-7)\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (40 - 68) + 30 + 39\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -103681 - 95?\nAnswer: -103776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 x, and 2 r when four letters picked without replacement from {s: 2, j: 3, x: 3, r: 2, w: 1, k: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -w - 26, 0 = 3*b - 3*w - 0*w + 57. Suppose 0 = -3*k - j - 3, -3*j + 2*j = k + 1. Let y = k - b. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 7*h + 4. Let u be s(-3). Let y be (u\/10)\/(-1) + (-18)\/(-30). Suppose 0 = y*m + 2*m - 14. Solve t - 13 = -2*n, -1 + 17 = 2*t + m*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1823415873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 54 (c) 4 (d) -2\/11 (e) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -45. Suppose 2*d + 2*l = 12, -a*l - 3 = -d - 6. Is 15 a factor of (57\/d - -1)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/3)\/((-1)\/9). Suppose d = -d + s. Let n = 27 - d. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 2*n - 4, 0 = -g - 5*n + 4. Suppose 5*k - 7 = -5*y + 4*k, 0 = -3*y - 2*k + 7. Find the first derivative of d**2 + y - g - 1 + 3 wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69 + -1473511?\nAnswer: -147357a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -v - 3*d, -v + 169 = -7*d + 5*d. Does 55 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -48*y - 1. Let l be q(-1). Let z be (-14)\/((-1008)\/13518) + (-10)\/(-8). Suppose l = 2*x - z. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 54*w + 34*w)*(-w + 4*w - w).\nAnswer: 174*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - -6 - (1 + 1). Let k be 12 - (-2)\/(-6 + b). Solve -3*a + k = 4*m, -3*a - 2*m = 3*m - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4 in descending order.\nAnswer: 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1109730 to the nearest 10000.\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - -39. Let f = 682 - 670. Calculate the highest common divisor of f and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Let s be (l\/2)\/(2 - 8). Let k = 1\/11 - -15\/77. Which is bigger: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 2*c**2 - 5*c + 2. Let j be h(3). Let r be 4*(-2)\/j - -1. Suppose -33 = -3*u - r. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -520 + 767. Let y be -1*(376\/(-20) - 2\/10). Calculate the greatest common divisor of s and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7587594378 to the power of 1\/2, to the nearest integer?\nAnswer: 87107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1167, -1167, -1159, -1137, -1095?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 115829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2806786765 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -828, 2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-5)*15\/6. Let z = u - -9. Find the second derivative of -4*q**4 - 7*q + 5*q + z*q wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 59 + 10 = -3*n, 5*n - 15 = 0. Let g = j - 68. Suppose -g*k = 2*k - 1860. List the prime factors of k.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 133, 186, 291, 466, 729, 1098?\nAnswer: 1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 296149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**4 + 6*j**4 - 4*j**4 + (0*j + 3*j + j)*(-5*j**2 - 3*j**3 + 5*j**2).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 5*v - 114 + 116, -3*v + 10 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = 30. What is the highest common divisor of y and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:19 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -36. Suppose h = 3*f - 270, -2*f = -0*f - g*h - 167. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a week?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7 + t**2 + 26 - 9 - 12*t. Suppose -5*j + 14 = -36. Let i be w(j). Solve -2*v = -v + i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(36\/(-90))\/(8\/10*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4004*o**2*y**2 - 7*o**2*y - 3*o**2 + 27*o*y**2 + 5*o*y - o + y**2 - 112 wrt y.\nAnswer: 8008*o**2 + 54*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11538*r**4*v**2 + 407*r**2*v**2 - 2 wrt r?\nAnswer: 276912*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 149*d - 148*d + 2*j, 4*d + 5*j = -25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-22) - 9198180\/(-180840)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1264180993244738 and 4.\nAnswer: 4.1264180993244738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 14*p + 15 = 4*b, 3*b - 3*p = 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 14. Let a be p(8). Suppose 0*j + l = -2*j + a, -4*j + 16 = l. Suppose -5*s - q = -0*q + 9252, -j*q = 3*s + 5560. Round s to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32062 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:11 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 220202110?\nAnswer: -220202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4351 (base 10) in base 11?\nAnswer: -32a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(102)*-1*5)\/(2*sqrt(216) + (sqrt(108)\/sqrt(3))\/sqrt(6)) + 4.\nAnswer: 10*sqrt(17)\/13 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(600)*-4)\/(3*sqrt(12)*-1))\/(-5*(-2*sqrt(90)*-1 - sqrt(90))))**2.\nAnswer: 16\/405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*r - 108. Let g be 368\/(-6)*r\/(-24). Suppose 4*k = g - 42. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.3318238 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 794111893 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -62 - 90. Let v = -25 + t. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28098 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 - 66\/(-12). Suppose m = -5*k + 20. Let q(r) = r**3 + 6*r**2 + 6*r + 7. Let x be q(-5). Solve x*f - k*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 68. Suppose -a*x + 142 = -218. Is x at least as big as 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -538690 divided by 6?\nAnswer: -269345\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 259, 1183, 2861, 5407, 8935, 13559, 19393, 26551?\n\"Answer: 19*a**3 + 263*a**2 + 2*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**3 + 38*p**2 + 17*p + 4. Give k(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4)*i*i)**(21\/8))**(-1\/11) assuming i is positive.\nAnswer: i**(-189\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 i, and 1 z when three letters picked without replacement from uzzlzluniiziillziil?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6996.\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -292, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 3:10 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 373.71 * -7385.\nAnswer: -2759848.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.5, 2\/67, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i - 10 = 0. Let l be 9\/15 + (-14)\/i. What is the greatest common divisor of 18 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*n - 4, 4*o = 3*n + n + 8. Let f(t) = -t**3 + 4*t**2 + 6*t - 8. Let m be f(o). Let q be (-7)\/(70\/m) - 4. Which is smaller: q or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23036 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - 0.8. Let u = 23.77 - 23.81. Which is the closest to 0.4? (a) u (b) 1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 3, g: 1, l: 5}. Give prob of picking 1 k and 2 l.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -3*f + 21, -3*i - 8204 + 8215 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/15 and 20\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*h + 4 - 8 + 1 + (-2 + 5 + 0)*(2 - 2 - 2*h).\nAnswer: -17*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*q + 30, 0 = 15*q - 11*q + 3*w - 5. Let a(v) = v**2 - 17. Determine a(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - (-30 + 31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8198 + -0.716. Let i = r - 0.07913. What is i rounded to three dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/45 + 141\/(-45). Let n be (-1 - -2) + (-4)\/3. Sort k, n, 0.4.\nAnswer: k, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102*15.98208\nAnswer: 1630.17216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 e, and 1 t when three letters picked without replacement from teeeretceref?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 16 = -5*n, i = 3*i - 3*n + 9. Suppose i = 3*g, -l + 12 = -g - 2. Is 342\/l - 2\/(-10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 6*z**2 + 5*z - 5. Let f be x(-6). Suppose -4*c = -2*g - g - 2, 5*g = 5*c. Let q be c\/8 - f\/20. Solve -2*w = -2, 3*k - w + q*w = 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**2 + 82*w + 2657. Let q(p) = 14*p**2 + 69*p + 2658. Let n(l) = -5*q(l) + 4*v(l). What is the first derivative of n(u) wrt u?\nAnswer: -76*u - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -2 + (-29 - -21) - -35\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-five quarters of a microsecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -2)\/2*-28. Let h be (3 - 0)*(s - -34). Suppose h = -5*v + 210. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11*m**4 - 7*m**3 + 6*m**2 + 7*m. Let y(a) = -2*a**4 - a**3 - a**2 - a. Let r(g) = k(g) - 5*y(g). Factor r(p).\nAnswer: -p*(p - 3)*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -111200001120?\nAnswer: 111200001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+22102578\nAnswer: 22102578.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18751*f + 10863*f - 39440 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 81, 559, 1873, 4443, 8689?\n\"Answer: 70*f**3 - 2*f**2 - 6*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -94. Suppose -d - 2*d = -3*a + 21, 0 = -5*a - d + n. Suppose -a = -3*x - 0. Solve 0 = -3*t + x*k - 4*k - 17, -2*t = -5*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 + 6*x + 1. Let l(v) = 6*v**2 - 7*v - 2. Give -6*l(t) - 7*r(t).\nAnswer: -t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 < -127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -1, -352 in increasing order.\nAnswer: -352, -66, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i**2 + 6*i. Let l(j) = 18*j**2 - 11*j. What is 6*l(r) + 11*p(r)?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 38*r + 41. Let j(s) = s - 4. Determine f(p) + 8*j(p).\nAnswer: 46*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 34498+0\nAnswer: 34498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011010000 - -100110100000110?\nAnswer: 101010111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5 - 303*j**4 - 22803*j**3 + 23103*j**2 = 0. What is j?\nAnswer: -51, 0, 1, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-4))\/((-3)\/12). Let i = 18 - b. Solve 0*o = 3*o + i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m*n**3*p*y - 2*m*n**3*y - m*n**2*p*y**2 - 4*m*n**2*p*y + 12*m*n + 3*n**3*p - 8*n**3*y**2 + 7*p*y**2 wrt y.\nAnswer: -2*m*n**2*p - 16*n**3 + 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 16 = -3*j + 11, 0 = 5*j + 4*b - 48. Suppose -3*t = t - j. Solve 13 = t*a + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 5\/4 (b) -1 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**2 - 6*l**2 - 3*l**2)*(3*l - l + 0*l + (-1 + 1 - l)*(2 - 3 + 0) + (7*l - 3*l - 3*l)*(-6 + 1 - 10)).\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/5*32\/528*55?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n - 28. Let v(b) = 3*b - 9. Let j(k) = 6*p(k) - 21*v(k). Let z be j(7). What is the units digit of z + 50 - (84\/7)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2144*q - 7682*q - 52*q - 749*q - 828906 = 0 for q.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -50. Let w = 99 + -99.01. Let k = -0.09 + w. What is the closest to -0.1 in k, 14, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1489\/15855 + 1\/755. Let q be (-418)\/(-6228) + 17\/(-306). Which is the closest to -0.1? (a) z (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2. Let v(x) = x**2 + 2*x + 3. Let f be v(-2). Suppose n - f = -8. Which is the nearest to o? (a) 5 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/4)\/(-1) + (-1302)\/(-56). Which is smaller: 24 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**5 + a**4 + a - 1. Let s(w) = -22*w**5 - 4*w**4 - 29*w + 4. Let v(q) = 4*k(q) + s(q). Find the second derivative of v(f) wrt f.\nAnswer: -520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*w - 98*w + 43*w - 321*w - 124*w.\nAnswer: -782*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 26589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*u - 4. Let r(o) = 15*o. Let j be r(1). Suppose j*h = 12*h. Solve -4*n - 9 = -n - u*y, h = -5*y - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1059199 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 4*f - 2. Let c(x) = -7*x**2 + 11*x - 5. Suppose -2*o = 2*s + 14, -2*s + 36 = -5*o - 27. Give o*n(q) + 4*c(q).\nAnswer: -6*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125*a**2*w - 2*a**2 - 2*a*w**2 + 23*a*w - 25900*w**2 with respect to a.\nAnswer: -250*a*w - 4*a - 2*w**2 + 23*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 867855991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 80 = 117 + 193 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 376.3 + -376. Let x = 29\/105 - 1\/7. Let z be 1 + (-1)\/((-4)\/(-6)). What is the smallest value in x, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 12 = 7*j. Solve l = -4*u + 3*l + j, -5*u + l + 21 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 7) to base 12\nAnswer: 49a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 7*u + 4*u)*(8*u - 35*u - 7*u + (-2 - u + 2)*(-1 - 1 + 4)).\nAnswer: 252*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 - 0) + 1)*3. Calculate the highest common divisor of 27 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15*a - 3012 = 0. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + 0*x**4 - 2*x**4 + (0*x**2 + 2*x**2 - 4*x**2)*(-2*x**2 + x - x) + 0*x + 0*x + 3*x**4 - 5*x**4 + x**4 + x**4.\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 1, 5, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j. Let c = 10 + -15. Let n(w) = w**3 + 6*w**2 + 5*w + 4. Let p be n(c). Let m(s) = -s + 4*s - p*s. Give g(m(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*i, 4*p - 192*i + 380*i = 187*i + 54 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7 - 2 + 54*l + l**2 - 43*l + 0. Let a be m(-12). Solve -8\/7*y + 0 - 4\/7*y**2 + 8\/7*y**a + 4\/7*y**4 = 0 for y.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-71)\/(-35) - 3) + (-28)\/(-49)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 27 (c) 0.2 (d) 2\/3 (e) 4\/5 (f) 0 (g) 526\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2. Let z(u) = -15*u**2. Let d = 1204 + -1203. Give d*z(j) + 6*r(j).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -72*l**3 - 146*l**2 - 196*l - 388. Calculate a(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/48 + 19*o**4\/96 + o**3\/2 + 176*o**2 - 2*o - 32. Let z(l) be the first derivative of r(l). Factor z(n).\nAnswer: (n + 3)*(5*n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 676 - 676. Solve 16*t - 15*t - 2 = i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + r**2 - 1. Let g be x(-1). Let s = g - -4. Solve -2*q + 0*l - s = 4*l, -3*l = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -22. Let n(t) = 3*t + 10. Let u be n(-8). Let h be (3\/u)\/(15\/o). Which is the second smallest value? (a) 4 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -19817*z - 118900. Calculate j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k. Suppose -2 = -x - 3, 5*n + x - 14 = 0. Let c(l) = 4*l**2 - 14*l + 14. Let j(w) = w**2 - 3*w + 3. Let d(b) = n*c(b) - 14*j(b). Give i(d(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4080330 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**2 + 0 - 1\/2*u**3 - 5\/2*u = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**5\/4 + 505*y**4\/12 + 10175*y**3\/6 - 136125*y**2\/2 + 21*y + 167. What is c in l(c) = 0?\nAnswer: -55, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 + 0 + 5 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24171 + 26680. Calculate the highest common divisor of l and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1010.247061 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 395 and 790418305?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6453 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 9*r - 8. What is the first derivative of 2*z**4 - 5 + 17 - 5*z**4 - r*z**4 wrt z?\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 564514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - ((-130)\/35 - 0). Which is the closest to f? (a) -0.5 (b) -3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/217 not equal to 6.86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f = 1256 - 2599 - 3217. Calculate the least common multiple of f and 18.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 21*b - 14*b - 8 - 17*b. Let j be h(-6). Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 246\/(-6)*(-5 - 1). Suppose 0 = -2*h + 5*i + 577, -3*h - 3*i = -630 - g. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 726 and -0.2?\nAnswer: -145.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57974?\nAnswer: 2, 7, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*w**3 + 2*w**2 + 4*w**3 - 2*w**3 + 2*w**4 - 4*w**2 to r*w**2 + z + y*w**3 + l*w**4 + x*w and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62659403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (4 - 7 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 20*u**3\/3 - 462. Let c(z) = 18*z**2. What is n(c(w))?\nAnswer: 6480*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 193 - 62. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9992 - 9542. Calculate the remainder when f is divided by 55.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244859*h**3 + 176640*h?\nAnswer: -1469154*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 8 - 28. Let c be -1 + 2 + -2 + x. Suppose 5*t - 4*l + 10 + 12 = 0, 0 = c*t - 2*l + 12. What is the nearest to -0.1 in 0.3, t, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.33 - 55797?\nAnswer: -55765.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Suppose -4*g = -m*w - 25, g + 5*w + 0 = -11. Suppose o - 6*o = 15, -j - 2*o = 0. Calculate the lowest common multiple of j and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3*r**2 + 5351*b**3 + 613*b*r**2 with respect to r.\nAnswer: 2*b**3*r + 1226*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/4? (a) 1 (b) -0.4 (c) 0.8 (d) -0.5 (e) 3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/120 and -101\/17880.\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.3 + 18. What is the nearest to 1\/4 in x, -3, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670014 divided by -7?\nAnswer: -670014\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 26*d = 140. Let j be 1\/(-7) - 4\/d - -4. Let y be (6\/4)\/(3\/6). Solve -j*w + y + 3 = -2*z, -w - 6 = -2*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b - -4d3698?\nAnswer: 4d36d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3225 is divided by 1400.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 427 = 5*k - 111, 20 = 5*k. What is the common denominator of 20\/g - 3\/9 and (54\/20)\/(8\/30)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.3248 (b) -3\/10 (c) 0.8 (d) 2\/9 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184\/276*3\/(-13)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94958 is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -3) + (-1886)\/(-1288)*4.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - n**2 - 6*n - 4. Suppose -4*b = 3*a - 8*a - 48, -b = 3. Let j = 17 + a. What is the tens digit of f(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*p - 26*p + 13*p**2 + 25*p**2 - 311 + 81 - 179 with respect to p.\nAnswer: 76*p - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2872*g + 672*g - 2455*g - 5694*g - g + 0 + 0 + (-4*g + g + 4*g)*(1 + 0 - 2) to w + o*g and give o.\nAnswer: -10351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.4, 5, 119 in descending order.\nAnswer: 119, 5, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j - 126*j + 0 + 0.\nAnswer: -159*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-4 - -15)*(6\/(-2))\/1. Calculate the highest common divisor of 141 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 0.26219179?\nAnswer: 6.03041117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 35 = -13. Let p(q) = 2*q**2 - 6*q + 5. Let s(t) = -2*t**2 + 5*t - 5. Determine g*s(w) - 5*p(w).\nAnswer: 2*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892652 is divided by 6972.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j**2 - 2*j)*(-7897*j - 100816491 - 2*j**2 + 100816491).\nAnswer: -2*j**4 - 7897*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -415519*93\nAnswer: -38643267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -30, -55, -88, -129, -178, -235?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 8*d**2 + 4*d + 4. What is the tens digit of f(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b + 1700556 = 138*b + 1694457 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**11\/55440 + u**7\/630 - u**4\/3 + 2*u. Let w(b) be the third derivative of a(b). Find the third derivative of w(y) wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4575 and 300?\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855 = -89*k + 268*k + 139. Let q be 8\/7*(-42)\/(-12). Let i = 8 - q. Solve k*h - i = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*v - 8, -i = -52*v + 50*v - 2. Factor 0 - 1\/9*u**i + 0*u.\nAnswer: -u**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 97 + 221 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -253 + 423. What is the remainder when f is divided by 88?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/4 - 415077*w**2\/4 + 103770*w.\nAnswer: -3*w*(w - 1)*(w + 138360)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 5:27 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0115412151 rounded to four dps?\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49488 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*(sqrt(68) - sqrt(68)*-5))**2 - (2 + -3 + (sqrt(68) + 4)**2))*6.\nAnswer: -96*sqrt(17) + 58284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/1670)\/((-24)\/(-54)*(-3)\/2). Which is the biggest value? (a) -3 (b) -1\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiimmimmmmmmmmmimm. Give prob of picking 4 i.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**5\/10 - h**3\/6 + h**2 - 57. Suppose s + 0 = -1. Determine f(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, d: 1, b: 4}. Give prob of sequence dbb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dln when three letters picked without replacement from {o: 1, d: 1, n: 2, l: 4, i: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxuftttuuif. Give prob of picking 1 x, 1 f, 1 u, and 1 t.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -419*a**2 + 3*a + 47. Let j(o) = -119*o. Determine j(n(l)).\nAnswer: 49861*l**2 - 357*l - 5593","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1 - 7*m**2 - 227*m - 1 + 229*m. Let v(h) be the first derivative of -20*h**3\/3 + 3*h**2 - 6*h + 56. Determine -17*u(p) + 6*v(p).\nAnswer: -p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 1013 = 5*s + 1049, m = -20*s - 118 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 27 + 295*v - 52.\nAnswer: 295*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 3*g. Let m be s(4). Let d(n) be the third derivative of n**5\/60 - n**4\/6 - 3*n**2 - 16595*n. Determine d(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5713 + -620. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.4 - -22.4. Let k = z - 18.01. What is the biggest value in -5, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/1*(629\/370)\/17?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 2*t. Let i(a) = -23*a + 11*a + 9*a + 3*a**2. Let f(m) = -3*i(m) + 4*w(m). Suppose 4*n = -5*q - 5, 4*n - 2 = -q - 3. What is f(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + q**2 + 0*q**2)*(2*q**2 + 3*q**2 - 2*q**2).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 902431 and 8480?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 214 + -213. What is the remainder when 96 is divided by 25*(v + 0*(1 - 0))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 837 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 17*t**3\/3 + t. Let x(b) be the first derivative of b**3 - 9964. Determine x(h(m)).\nAnswer: 3468*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17012, 33973, 50898, 67787, 84640, 101457?\nAnswer: 118238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1219*g + 1230*g - 183 + 1219*g - 3682*g in the form h + v*g and give h.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/66084552 and 34\/27.\nAnswer: 66084552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 72*m + 149*m - 81*m - 12, -48 = 4*w + m for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -18027846 divided by -171\nAnswer: 105426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 6 = 5*k - 106, -4*k - 3*f = -77. Calculate the greatest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*b - 36 = -i, -5*i - 4*b = -67. Factor -5*k**3 + 7*k - 15*k**2 + 5*k**4 - 5 + 3*k**3 - 3*k**3 + i - 2*k.\nAnswer: 5*(k - 2)*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**8\/12 - s**6\/60 + 15*s**4\/8 + s**3\/6 - 2*s**2 + 51*s. Find the second derivative of o(f) wrt f.\nAnswer: 560*f**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 34 + 13)*(181*r - 61*r - 61*r - 81*r + 26) in the form g + f*r and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 3*o**4\/4 + 4*o**3\/3 + 10*o**2 - 14*o + 214. Let r be b(5). Round r to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + o**2 - o + 5. Let h be r(0). What is the third derivative of -5*q**5 + 3*q + 0*q - 3*q + h*q**2 wrt q?\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375, -1228, -2619, -4548, -7015?\nAnswer: -10020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 12*a - 15. Let j be f(13). Let i(h) = 6*h**2 - 5*h - 2. What are the prime factors of i(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhg when three letters picked without replacement from mkmygmyhwggm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -b4 (base 15) in base 9?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n + 0*n - 5*n + (-2 - 1 + 1)*(4*n + 3*n - 6*n))*(-6 + 1 - 2)*(-2 - 4 + 1) as b + v*n and give v.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -26*d - 66. Calculate u(-9).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8818983, 8818978, 8818973?\nAnswer: 8818968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16269726690664.400221 - -16269733510047. Let h = o + -6819358. Let z = -24.6 + h. What is z rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 431\/4 - 107. Let b = 0.146 + -0.146. What is the closest to b in 0.4, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*b - 2 + 0 = 0, -16 = -2*x - 4*b. Let g = 0 - 0. Suppose g*d = -x*d + 8. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8873873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i**3 + 6*i**2 - 6*i + 6. Let k(x) = x**3 - x**2 + x - 1. Give 12*k(y) + 2*t(y).\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001723783223 rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bokx when four letters picked without replacement from xbxkoxxxsxswxxxxbxxw?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-10) - (-24)\/16)*25. Let c(i) = 7*i + 13*i + 20*i**2 - n*i. Let h(y) = -y**2. Calculate c(h(u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4 = -5*o, 2*o - o - 10 = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -4. Suppose -v*i = 1 - 126. Solve 15 = k - 3*d, 0 = 3*k + 2*k - 5*d - i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18962815 is divided by 141.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*r + 20, 2*r - 2 = 4*f + 30. Suppose -n + r = n - a, 4*n + 3*a = -4. Suppose 12 = d + x, -3*d = n*x - 5*x - 54. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 13, 21, 29, 37, 45?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*(5 + -5 + (sqrt(2736) - (-4 + sqrt(2736) + sqrt(2736) + sqrt(2736)*-2) - sqrt(2736))*-4)*4)**2.\nAnswer: 147451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8897.8 + -8900.8. Suppose 0 = 3*l - 11 - 1. Let q = -0.2 + 0.4. What is the second biggest value in l, 0.06, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 16. Let v(j) = -2444*j**3 + 2*j**2 + 2*j - 2. Let p be v(x). Let h be p - 7\/(7\/(-2)). Round h to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1298236153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5934 and 29971?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 9:13 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -1\/9 (b) 0 (c) 1 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049399 is divided by 3180.\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47761\/(28\/(-7) + 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248946 is divided by 116?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -52*b + 7. Let q(x) = -159*x + 22. What is -7*j(r) + 2*q(r)?\nAnswer: 46*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {v: 6, e: 6, g: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:15 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(6\/11)*i\/(i\/i**(-7))*i)**(-10)*((i*i**(-1))**46)**(4\/7) assuming i is positive.\nAnswer: i**(380\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q + 48 = -b, -q + 31 = -5*b. Let z = q - 0. What is the remainder when 14 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19058345.\nAnswer: 5, 3811669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8681 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16112241*m**4 + 22502733*m**2 wrt m.\nAnswer: 386693784*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15750923 to the nearest integer?\nAnswer: 3969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11376775.\nAnswer: 5, 107, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161 - -175. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, -5, 14 in increasing order.\nAnswer: -5, -2, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -33.076. Let i = -0.076039 + o. Round i to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3640.5 and -0.106?\nAnswer: 3640.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, c: 3, o: 16}. What is prob of sequence cco?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40928, 40787, 40404, 39659, 38432, 36603, 34052, 30659?\nAnswer: 26304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2*h - 5*h**2 + 0 - 37*h**2 + 137*h**2.\nAnswer: 95*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/243 + -251\/972. Suppose -2*i = i + b + 10, 4*i + b = -14. Sort 0.2, j, i, 1\/4.\nAnswer: i, j, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 24115 - 3552 = -2475. Which is bigger: p or -11518?\nAnswer: -11518","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 + 66. Is c - (-1496)\/2 - 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 263070 and 8868382?\nAnswer: 399077190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2105299.85 and -24?\nAnswer: 2105275.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 80*i**3 + 2*i**2 - 5*i**2 + 2*i**2 + 3 - i - 3*i. Is h(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 1)*(1 - 2*c + 0*c + 0*c) + 0*c - 5*c + 4*c.\nAnswer: -13*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -7*i + 9. Sort i, 16, 5.\nAnswer: i, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9630.014 tonnes to grams.\nAnswer: 9630014000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*q - 4, -2*q + 3*u + 0 = -16. Let f be ((-3)\/q)\/(12\/32). Which is the closest to -2\/5? (a) -0.1 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**4\/12 - d**2. Let q(b) = 8*b + 6*b - 178*b + 7*b + 39*b + 54*b. Determine q(n(o)).\nAnswer: -128*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 46 = 16. Let f be 1*4\/12*9. Suppose 5*c = -3*q - 0*q + 28, f*c + 3 = 0. What is the smallest common multiple of n and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.61 + -2.31. What is the third biggest value in z, -24, 2\/7?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 0*u**2 + 1\/12*u**4 + 0*u**3 + 3\/56*u**8 + 0*u**6 - 2*u + 0*u**7 + 0 + 0*u**5. Find the third derivative of h(v) wrt v.\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894 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 q(i) = -i**3 + 8*i**2 - 6*i - 7. Calculate q(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183240073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8880131nm to millimeters.\nAnswer: 0.0000008880131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gprfgfrfkpgrngpgg. Give prob of sequence ng.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k*k**2)))**(-2\/41)\/(k**(-2))**(-43) assuming k is positive.\nAnswer: k**(-3530\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnulnllulllnnu. What is prob of sequence uln?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 15) to base 4\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28, 34, 52, 88, 148, 238, 364?\n\"Answer: g**3 - g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 - 2*n**2 + 11 - 13 - 2*n**3 - 2*n**4 to the form r*n + o*n**4 + w*n**3 + i*n**2 + a and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67225288?\nAnswer: 2, 13, 646397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -21399?\nAnswer: -213990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/4 + 7479*f**2\/4 - 4657545*f\/4 - 4665027\/4.\nAnswer: -3*(f - 1247)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/195)\/(-19 + (-3979)\/(-207))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -11 - 5. What are the prime factors of 8\/y + (-96)\/(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*k + 336 = -8342 - 8089 for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55978, -55742, -55506?\nAnswer: -55270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13222 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2774980 to the nearest 10000.\nAnswer: 2770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z. Let n(i) = 13*i. Let d(k) = 2*n(k) - 9*p(k). Let u(r) = 12*r. Give d(u(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -126.73?\nAnswer: 127.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/491 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 606910 by 5.\nAnswer: 121382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009282915 to 7 decimal places.\nAnswer: 0.0000928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + -7 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.041 - -4. Let d = w + 0.04099893. What is d rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 160*k**7\/21 - 22*k**3\/3 + 3*k**2\/2 - 25*k - 4. Find the second derivative of m(q) wrt q.\nAnswer: 6400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 9*n = -306. Let b(y) = -7*y + 3. Let a(v) be the third derivative of -5*v**4\/6 + 4*v**3\/3 - 4*v**2. Give n*b(g) + 6*a(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -7*i - 35. Let u(m) = -m**2 - 12*m - 16. Let o be u(-10). What is the highest common factor of o and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1)*3\/(-6). Suppose -174 = -3*n - 2*s, 4*n - 4*s - 329 + 77 = r. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1462*j = -1464*j + 152. What is the greatest common factor of j and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ewqeeqwqq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*u**2 - 38*u**2 + 12*u**3)*(2*u + 2*u - 5*u) + (-3*u**2 + u**2 + 3*u**2)*(u**2 + u**2 + 0*u**2) as c + r*u + p*u**2 + y*u**3 + q*u**4 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 + q. Let w be o(-1). Suppose 6 = -u - 2*d + 1, -4 = -4*u - w*d. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2 = 4*m + 11, -3*m = -3*f + 6. Let r = -0.06 + -1.94. Let k = r + 0. What is the smallest value in -3, k, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)*2 + sqrt(224))\/(sqrt(8)*-2*-1) - (5 + (sqrt(448) - (1 + sqrt(448) - sqrt(448))) + -1))**2.\nAnswer: 30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 838809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 15*p**2 - 8*p - 120. Let w be g(-15). Sort w, 23, 36 in increasing order.\nAnswer: w, 23, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007424330.\nAnswer: 2, 5, 11369, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 267 + -188. What is the remainder when 630 is divided by j?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2137 (base 8) to base 14\nAnswer: 59d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-39) - 5656\/91. Let f be -4 - b\/(2 + 0). Suppose 5*k - 18 = f. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aataatttataaatttttaa. What is prob of sequence aaat?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90403754 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.85978 millilitres in litres?\nAnswer: 0.06485978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 6*p + 6*p. Suppose p*w - 5*w + 2400 = 0. What is w rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 4*c**2 + 10*c + 6. Let s be b(-7). Let l be (2\/1)\/(-6)*-6. Suppose l*d - 75 = s. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133215799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 17*h + 5 = 0, -4*h = -17*n - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/9 (b) -91 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -34. Factor 9 + 3*o**3 - 20*o + 35*o + l*o**2 - 5*o**3 + 3*o**3.\nAnswer: (o + 1)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.028 + -0.028036. Round v to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/157616 and 71\/12924512?\nAnswer: 12924512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 122071881 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461, 770, 1265, 1946?\nAnswer: 2813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176 - 173. Let o(p) be the first derivative of 0*p**2 - 2\/63*p**y + 15 + 0*p + 1\/42*p**4. Factor o(g).\nAnswer: 2*g**2*(g - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*d - 4*d - 4 = 0, 4 = -4*h + 3*d. Let i be h + 1 + (2 - -1). Let k = 4 - 2. Solve -3 = k*s + i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 3*m. Suppose m = -2*o - 2*o. Is -1 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23.7 (b) -0.4 (c) 0.2 (d) 2\/11 (e) -5 (f) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/8)\/(121\/((-55176)\/190))*48\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 - 15708*y**4 - 1892592*y**3.\nAnswer: 4*y**3*(y - 4044)*(y + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**3*k**3 + 7*j**3*k**2 + 25950*j**2*k**3 - 4*j**2*k + 633*j*k**3 + 2244*j*k wrt k.\nAnswer: 18*j**3 + 155700*j**2 + 3798*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2. Let c(q) = -11*q**2. Let o(i) = -7*i**2. Let v(d) = 5*c(d) - 8*o(d). Give v(b(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from nhbqlnnhhqhh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**4\/24 - w**3\/3 - 30*w**2. Let y be j(-18). Solve -2*l - 2*l = y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 9*w**2\/2 - 5*w - 25. What is p(4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -652*a = -700*a - 144. Suppose w - 143 = -0*w. Let r = w + -717\/5. What is the fourth biggest value in r, a, 1, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -c - 24. Suppose -2*f + 83 = -0*g + 5*g, 20 = 5*f. What is the remainder when g is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-10))\/(g**(-6)\/g) assuming g is positive.\nAnswer: g**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -208344353*v + 486557048 with respect to v.\nAnswer: -208344353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/9411 + 407809\/9411. What is the third biggest value in -1, y, 0.3, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -178*s**2 - 154 + 107*s**2 - 77*s - 293*s**2. Let k(o) = 28*o**2 + 6*o + 12. Let t(q) = -77*k(q) - 6*l(q). Let b(f) = -4*f**2. Determine t(b(c)).\nAnswer: 448*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m + 16*m - 11*m - 24 - 17*m**2 - 20*m.\nAnswer: -17*m**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2480.1 and -880559589.\nAnswer: -880557108.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.3 less than -8222?\nAnswer: -8204.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 21 = -3*d + 15*d, -4*d + 8*j - 5*j + 218 = 223 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -34.9. Let q = -0.8 - s. Let u = 0.1 - 0. What is the smallest value in u, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**3 + a**2 - a + 2. Suppose 0 = f - g - 3, f - 3*g = 2 - 3. Suppose f*c + 3 = 13. Is 24 a factor of n(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 19 - 12 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Suppose -n*k = -6*k. Differentiate -2*h - 1 - 5 + k with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in 0.1, -43, -126, 5, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -463.257.\nAnswer: -462.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -10, 6*t - 13 = 5*t - 2*j. Calculate the highest common factor of 85 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -240121?\nAnswer: -240120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*k + 5*k**2 + 49*k - 139*k**5 - 2*k**2 - 14*k wrt k.\nAnswer: -8340*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {h: 9, x: 1, v: 2, u: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**4 + 12*l**2*w**2 - 2*l**2 - 3*l*w**2 + w**2 + 7 wrt l?\nAnswer: -36*l**2 + 24*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 7:17 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7014 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 14*i - 751. Let q be x(54). Solve -2*k + 7 = p, -5*p = q*k - 24 - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 + 70. Suppose i + u*k = 7, 0*k = -2*k + 2. Solve i*t = -35 + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13791\/7 - 1970. What is the nearest to -2 in -0.3, o, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -147, -287, -429, -573, -719, -867?\n\"Answer: -a**2 - 137*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23103 + -132203?\nAnswer: -210311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-36)*(3390\/(-630) + 5).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117152*c - 468605*c + 117142*c + 117148*c + 117153*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11062 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 29073?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201430300400 - 0?\nAnswer: 201430300400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spraprh. What is prob of picking 1 s and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.1, 3, 0.4, -26, -303 in decreasing order.\nAnswer: 3, 0.4, -0.1, -2\/5, -26, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 + 9211131*t + 110533428 = 0. Calculate t.\nAnswer: -9211119, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46046)\/5720*(-10)\/(-14))\/((-2)\/(1*32))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -1 + 3 - h**2 + h**2 + h**2. Let x(a) = a**2. Calculate x(d(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4104)\/114)\/((-12)\/16). Is 31 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 2. Let q be m(3). Let d be (-299)\/(-5) + q\/(-5). Suppose 2*w = 5*w - d. Calculate the least common multiple of w and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, a: 4, v: 5}. What is prob of sequence vr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 10:52 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -13*n + 11. Let t(q) = 3*q - 3. Give -2*l(h) - 9*t(h).\nAnswer: -h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.01533402 rounded to 1 dp?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10385 is divided by 100?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x + 70 - 5*x - 70. Let o(q) = -q. Let y(h) = 22*h. Let t(g) = 12*o(g) + y(g). Determine k(t(s)).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 + -430531?\nAnswer: -431024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + p**2 - p**2 + (5*p - 5*p - 2*p)*(p + 1 - 1))*(-p + 5*p - p).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -390835595\/56 + 6979477. Let v = u - 2095\/8. Calculate the common denominator of -9\/20 and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 15*o - 95 + 13*o.\nAnswer: -2*o - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 5:18 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16920, 35545, 54170, 72795?\nAnswer: 91420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/24)*c**40*c*c*c**(-1\/4)*c\/((c*c*c\/((c*c**(-2\/11))\/c)*c)\/c) assuming c is positive.\nAnswer: c**(10435\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -300238400?\nAnswer: -300238400.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 644 divided by 6103\nAnswer: 644\/6103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 7 - -80 - 4. What is the nearest to -1\/4 in r, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 202 and 53310.\nAnswer: 5384310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-2))\/((-12)\/(-24)*-1*4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -15*n**2. Let k(z) = -5*z**2. Determine b(k(x)).\nAnswer: -375*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**3 + 32*t**3 + t - 15*t**3.\nAnswer: 33*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + 90. What is the nearest to 21 in f, 2\/19, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8) + (-531)\/(-6). Let f = 44 + h. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 79*x**2 - 348*x + 1899. What is h(7)?\nAnswer: 3334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15916*c**3 + 4 - 4.\nAnswer: -15916*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 353088, 706179, 1059274, 1412373, 1765476?\n\"Answer: 2*y**2 + 353085*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 5*k**2 + k + 51*k**4 - 92*k**4 + 55*k**4 - 3 to the form c*k**4 + f*k + q*k**2 + j + n*k**3 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3, 0.5, 1.4, 0 in ascending order.\nAnswer: -2\/7, 0, 0.5, 1.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4, w = -4*f - w + 154. Suppose 4*p - f = -31. Solve 0 = 5*z - 2*g - 14, -2*z - 7 = -p*g - 3*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycu when three letters picked without replacement from {c: 3, r: 3, u: 1, v: 5, s: 1, y: 4}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 - j**2 - 11*j + 129. Give q(8).\nAnswer: 1001","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2988 (b) 3 (c) -18 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -4 - 9711\/(-16). Let b = -605 + w. Calculate the common denominator of -93\/14 and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*l**3\/3 - 1738*l**2\/3 - 976*l - 480.\nAnswer: -2*(l + 5)*(11*l + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 9, x: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -204424 (base 6) in base 10?\nAnswer: -16576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 5)\/((1\/6)\/(110\/(-12210)))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 30, 4 in increasing order.\nAnswer: -3, 4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(-90) + (-22)\/(-33).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 63. Let g = s + -7.00005. What is g rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 4*t**2 + 6*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190814573?\nAnswer: 1163, 164071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1498457\/11 - 136223. Let 6\/11*o**2 - 8\/11*o**4 - 2\/11 - t*o + 8\/11*o**3 = 0. Calculate o.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 3. Let l(s) = -3*s + 12. Let y(u) = -l(u) - 4*m(u). Let g(d) = -115*d. Give y(g(p)).\nAnswer: 115*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-7\/2))**(-11)*(l**(5\/4))**(-2\/27) assuming l is positive.\nAnswer: l**(740\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247309 is divided by 30912.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -49*l. Let m(z) be the first derivative of 0*z - 22 + 0*z**2 - 1\/3*z**3. Give p(m(g)).\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 864368 and 267.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2 + 29*p - 170 = 0.\nAnswer: -34, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 350*n + 55. Let z(t) = 25*t + 4. Calculate -4*u(m) + 55*z(m).\nAnswer: -25*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 24 = 2*o - 6*o, 3*m - 3*o = 12. Suppose 16*d = m*d + 22. Solve -d*s + 12 - 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4743, 4184, 2671, -276, -5137, -12392?\n\"Answer: -80*z**3 + 3*z**2 - 8*z + 4828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*w - 24, -2*a - 3*w - 8 = -a. Let j = a + 8. Suppose -j*b + s + 11 = -1, b + 2*s = 11. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 13*h - 10. Let w be l(5). Let t(f) = 2*f + 9. Let u(c) = 2*c - 2*c + 2*c - c. Let v(m) = t(m) - 3*u(m). Give v(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 15. Let s be w(6). What is the first derivative of -4 + s + 2*y**2 - 9 - 6 wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = 5*g. Suppose -a = -g*a + 59. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 120, 270, 480, 750, 1080, 1470?\nAnswer: 1920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 28*s**2 - 67*s - 12. Determine l(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4721*k + 617. Is i(-78) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 82582*r - 3637480.\nAnswer: 2*(r - 44)*(r + 41335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/3 + 3941*d - 808588\/3 = 0. Calculate d.\nAnswer: -11891, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 344 + 340 = 0, 3*a + 6 = 3*l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577501?\nAnswer: 271, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, 1, 20, 3\/16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 4. Suppose -3*v - 5*d + 40 = 0, 4*v = v + d + z. Suppose u = v*w - 8, -u + 0*u = 4*w - 10. Calculate the remainder when 2 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -494, -0.018, 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/4 and (1\/(-9))\/((-4)\/(105 + -1))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 15*u**2 + 39*u - 18. Let b(p) = -30*p**2 - 78*p + 36. Let g(y) = -3*b(y) - 5*q(y). Factor g(m).\nAnswer: 3*(m + 3)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*i - 0*i. Suppose 3*g + i = -3. Is -6 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (23 - 9) - -12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 1 - 2 + 4*m**2 - 2*m**2. Let d be y(-4). Suppose 0*j + 2*j = -5*k - d, 3*j + 13 = -5*k. Solve j*x + 20 = 4*b, 4*b = 2*b - x + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 7) to base 16.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9279\/11 - 843. Let h(g) = -2*g**2 - 2*g + 1. Let v be h(-2). Put r, -4, v in decreasing order.\nAnswer: r, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*y = 768, -3*t - 4*y = -2*y - 1132. Suppose o - 892 = 4*k - 2399, 0 = -k + 3*o + t. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rttxrttxrrx. What is prob of picking 1 x and 3 t?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 3)*(-34)\/4. Let b = 16186 + -16189. What is the second smallest value in -3\/2, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - m**2 + 2*m + 4. Let l(t) = -4*t**3 - 5*t**2 + 11*t + 21. Suppose -w + 3*y + 2*y = -12, 5*y + 18 = 4*w. What is w*l(o) - 11*s(o)?\nAnswer: 3*o**3 + o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -249633 less than -249633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1677 and 500133?\nAnswer: 6501729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 2846*b - 5. Let p(a) = 5*a**2 - 2841*a - 4. Let j(q) = 4*g(q) - 5*p(q). What is the second derivative of j(f) wrt f?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17234 and 13356.\nAnswer: 16441236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 3*y**2 + 4*y + 3. Let u(m) = -m + 1. Let q be u(-3). Let t be l(q). Put -2, t, -1 in ascending order.\nAnswer: -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 657 - 100. Suppose 4*u - o = 39. Calculate the remainder when u is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.239 + 3.755. Let s = -0.006 - f. Which is the second biggest value? (a) s (b) -1\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104100 (base 14) to base 6.\nAnswer: 15433352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 11:46 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28564 = 249*s - 23833 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -13055, -11, 5, -2\/15, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -151 - 2230?\nAnswer: -2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54\/(-45) + 1\/5. Let b = n + -7. Let o be (-6 - 1)*b\/2. What is the highest common divisor of 252 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -2\/5, -383, 1.9, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyh when three letters picked without replacement from hyyuyuhyuhuhuhhuhdy?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003309 rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65.99 + -1.49. Let i = s - 64. Which is the nearest to 0.04? (a) 2\/9 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 437254a - 2?\nAnswer: 4372548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - 3*j**4 + 3*j**4 + (-j**2 + j**2 - j**2)*(0*j**3 + 2*j**3 + 2*j**3) + j**5 - j**2 + j**2 - 4*j**5 + 6*j**5 - 3*j**5.\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 4. Let f(t) = t - 1. Let c(v) = 4*f(v) - q(v). Let h(w) = 31*w**2. Calculate c(h(r)).\nAnswer: 62*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x - 2*x)*(-1 + 0 - 2)*(1 - 4 + 0 + (0 - 1 - 1)*(-4 + 3 - 1)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 6*y**2 + 5*y + 9. Suppose 21 = -4*v + v. What are the prime factors of l(v)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.94 - -19.86. Let o = 21.8106 - f. What is o rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0562168 rounded to four dps?\nAnswer: -0.0562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 = -4*q + 30*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -13. Suppose d*i = 70 + 70. Solve 0 = -x - 4*l + i, -l = 3*l - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*r**2*z**2 - 9*r**2*z - 10*r**2 + 7*r*z**2 wrt z.\nAnswer: 46*r**2 + 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1133120310002 + 0?\nAnswer: 1133120310002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g + 74 - 20 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100546264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -17*a. Let g be h(-2). Let n = g + -16. Calculate the lowest common multiple of n and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 67, 154, 309, 568, 967?\n\"Answer: 6*c**3 - 2*c**2 + 51*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u*u**(-5))**(-30\/7))**(-26) assuming u is positive.\nAnswer: u**(-6240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -176, -747, -1728, -3143, -5016, -7371, -10232, -13623?\n\"Answer: -4*f**3 - 181*f**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x + 13*x + 132 = 0. Let q(y) = 27*y**3 - 2*y**2 + 1. Suppose 0 = c - 2*h + 3, -3*c = -2*c + h. Let j be q(c). Put x, 3, j, -1 in increasing order.\nAnswer: j, x, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < 366503913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5937314098 - 5937313903.99999959. Let w = f - 194. Round w to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/120*(-5)\/((-1)\/7*-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.31899 months in millennia?\nAnswer: 0.0190265825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59749181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1\/(343 - 0))*-11. What is the first derivative of -4*p**4 + x - 13*p**4 - 3752 wrt p?\nAnswer: -68*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386863?\nAnswer: 59, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 17*u**3 + 20*u**2 - 3*u + 2. List the prime factors of y(5).\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + i + 3. Let r be y(3). Let f = 16 - 20. Let l = f + 15. What is the greatest common divisor of r and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039195 rounded to six decimal places?\nAnswer: 0.000392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -405 + 520. Let s = -102 + p. Which is bigger: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 13*u - 34 = -3*k, u - 2*k + 11 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 4*z - 5. Suppose 0 = -4*a - a + 10. Suppose s + 18 = -a*s. Calculate p(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3.63, -9\/11, 1\/2, -3, -4, -2\/7?\nAnswer: -3.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3491 is divided by 3431.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152 + 151. Which is the nearest to 18? (a) t (b) -2\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 10 + 294. Suppose 3*x - t = 35. Let q = 188 + x. Does 25 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -309 + 308. What is the closest to 0.4 in -2, 0, c, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-153)\/3*5654122\/(-6). Suppose 0 = 4*j + x - 164060037. Suppose g - 6*g = j. What is g rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/865 and 45\/692.\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -35. Suppose -2*u = x*u - 16900. Is 8\/2 + 3 + u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24601*i - 98400*i + 24602*i + 24590*i + 24604*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*z + 1212*z + 48626*z + 27504*z.\nAnswer: 77921*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + g**3 + 0*g**3 + 3*g**2 - 217*g.\nAnswer: g**3 + 5*g**2 - 217*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 15513 = 5*n, 5*w + 3*n = 32781 + 5992. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 - 61. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81928 divided by -392\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(4\/580) + -4. Suppose -3*p - 65 = x + 354, x - m = p. Let g = -90 - p. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 59. Which is the second biggest value? (a) -2 (b) v (c) -0.5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4 + 17708*i**3 - 17714*i**2 - 35420*i = 0. What is i?\nAnswer: -8855, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -476*r + 2448. What is k(5)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 3. Let i(g) = g + 2. Let n(p) = -2*p - 2. Let f(a) = -4*i(a) - 3*n(a). Calculate -3*f(r) - 2*k(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143.4 + 194.4. Which is smaller: s or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 23 = -2*x + 5*d, -3*x = 4*d. Let m(c) = -c**3 + 6*c**2 - 6*c. Let b be m(x). Calculate the greatest common factor of 56 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -0*j - 11*j. Let m(u) be the third derivative of 0 + 0*u + 1\/132*u**4 + u**j + 0*u**3 + 1\/660*u**6 - 1\/165*u**5. Factor m(q).\nAnswer: 2*q*(q - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.21321 - 0.03113. Let l = 1.40483 + h. Let o = l + -1.16. Round o to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -74.6. Let g = -6.6 + w. Which is the closest to g? (a) -5 (b) -6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*m**3\/3 + 2420*m**2 + 89832*m - 8064 = 0. What is m?\nAnswer: -21, 6\/67, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022119678 rounded to five decimal places?\nAnswer: 0.00221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -119. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/((-4851)\/12)*(-5)\/120*-28. Factor -d*l**3 - 4\/7*l + 10\/21*l**2 + 0.\nAnswer: -2*l*(l - 3)*(l - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5946 + -3516. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 89971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erjygyerb. Give prob of picking 1 r, 1 b, and 2 e.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 858 + 303 = -p, -3*a - 2*p + 425 = 0. Solve 0 = -118*f + a*f - 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8704 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.09 (b) 1\/9 (c) 161924\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -3. Let r = 1 + m. Let t = 5210\/7 + -744. What is the closest to r in -2\/3, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 194424 and 24.\nAnswer: 194424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 7*g + 40. What is the least common multiple of 3*(g - (3 + -21)) and 42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(294)*2)\/sqrt(6) + -6*sqrt(1225)))\/((sqrt(224)*-5)\/(1*sqrt(1152) - sqrt(8))).\nAnswer: -462*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 410, -0.002?\nAnswer: 410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -3957?\nAnswer: -791.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110204 + -43441?\nAnswer: -204200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12003103 - -2002?\nAnswer: -12001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 219 = 4*n, 4*n = -s + 29 + 52. Is 4 a factor of s\/6 - 6\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrz when three letters picked without replacement from {g: 3, r: 9, z: 1, p: 2, k: 4}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - j - 1. Let x(d) = -9*d**3 + 6*d**2 - 6*d - 6. What is 6*b(c) - x(c)?\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (5 + -5 - -2127). Let r = 5107 - q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138*f**2*u + 5*f**2 + 15*f*u - 2*f + 2*u wrt f?\nAnswer: 276*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 + 2*b**2 + 14*b + 9. Let d be 20\/(-12)*36\/10. List the prime factors of f(d).\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*f**3 - 250*a**2*f + 792*a + 987*f**3 + 29982*f**2 wrt a.\nAnswer: 2*a*f**3 - 500*a*f + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, j: 1, t: 1, n: 1, l: 1}. What is prob of sequence ja?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3232 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/6)*d*d\/(d*d*d\/d**5))**(-4\/17)*(d**(-2\/9)\/(d**4\/d))\/(d\/d**4*d**(-1\/12)) assuming d is positive.\nAnswer: d**(-685\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6540030 and 2571522?\nAnswer: 8898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**4\/4 - 9*q**3 - 29*q**2. What are the prime factors of n(-13)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155918.\nAnswer: 2, 7, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 12:29 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 5*z + 6*z + 5*z - 19*z to f*z + i and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2)**(-6\/11)*(j**0)**6)**(-49))**(1\/6) assuming j is positive.\nAnswer: j**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2 - 25*n - 22*n + 4 + 30*n - 1. Give m(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-4*sqrt(34) - sqrt(34) - sqrt(34))\/sqrt(2))**2.\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 23*w - 1. Let o be s(1). Suppose -3*i + 117 + o = 5*q, 3*q - 63 = 5*i. Let x(b) = b**2 + b - 3. What is the remainder when q is divided by x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12201111221 - -10120?\nAnswer: 12201122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011632 to seven decimal places.\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.9 - -35. Let i = g + -9.1. Let q = -8 - i. Sort 4, q, -4 in ascending order.\nAnswer: -4, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9354 rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -6*p - 27*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3404 and 320252?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k. Let f(t) be the first derivative of 1\/12*t**4 - 2 + 0*t**3 + 1\/2*t**2 + 0*t. Let z(s) be the second derivative of f(s). Give h(z(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/21 and ((-2064)\/1053 + 2)\/((-48)\/180).\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-20)*(-2696560)\/3644?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyydkk. What is prob of picking 2 d and 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2501\/4966 + 9\/2483. Sort -4\/41, w, -8, 0.3, 2 in descending order.\nAnswer: 2, 0.3, -4\/41, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -6. Suppose 0 = -2*c + x*i + 16, 0 = c + 6*i - 2*i + 10. Suppose -p + 3*p + c = 0. Is -1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -165059095*z - 652095477?\nAnswer: -165059095","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -384?\nAnswer: -11\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*x = 3 + 16, -20 = 3*s + 5*x. Let n = -28 + 178. Let y = n + s. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 11394352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 15. Let m = -126 - -124. What is the biggest value in -0.1, m, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.4, -5, 0.3, 565?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from qdddpyypymr?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = -4*q - 1, -4*i - q = -9. Suppose -i*s + 0*s = -4*m - 24, 5*s - 15 = m. Solve 4*v - s*v = 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/390, 3\/5, -12 in ascending order.\nAnswer: -12, -11\/390, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4892\/13 + -376. Let d = 113 + -114. Let i be d + (4 - 213\/69). Which is the closest to o? (a) -0.2 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17616, -70421, -158396, -281547, -439880, -633401?\n\"Answer: -c**3 - 17579*c**2 - 61*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 3*r**2 + 9*r + 3. Suppose -12*l - 2 = -38. What is the remainder when j(l) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 426 and 2240275638?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 79 = -179 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01254074 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 + 504 = -27*t - 347 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -16*o**3 + 2*o**2 + 2*o. Let b be r(3). Does 12 divide b\/(-36) + (-2)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 23 = -2*a - 0, 0 = 5*a + 3*p - 59. Let z = a - 0. Find the common denominator of (z\/(-18))\/((-18)\/27) and 73\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5406687323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/3 - 36274*w\/3 + 72560 = 0 for w.\nAnswer: -36280, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-34804)\/(-20) + 1\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 4*g - 124. What is the greatest common divisor of g and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83\/182 + -61\/91. Which is the closest to -2? (a) -2\/7 (b) n (c) 0.1 (d) -0.048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 5*q + 13 = 0, 2*v + 146*q - 149*q = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 20 = 4*r. Suppose s = -r*j + 17, 2*j - 4*s + 0*s = 22. Suppose 0 = -j*q + 4*q - 3*a + 62, 0 = 3*q - 3*a - 138. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242540 and 540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 - (2 - -5 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/3, -3, 24\/11, -68\/29, -0.2?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2004 times 2\nAnswer: -0.4008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3509328.\nAnswer: 2, 3, 113, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43760*v**2 + 4293*v?\nAnswer: 87520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 492251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*1*sqrt(110))\/sqrt(10).\nAnswer: -5 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833 is divided by 151.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 3*g + 2*w, 0 = -g - 242*w + 253*w + 21 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 17876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -5. Suppose 0 = -u*f + 3*d + 122, -f - 4*d = -0*d - 29. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.29t in nanograms?\nAnswer: 170290000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.891*-0.3.\nAnswer: 0.2673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:21 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 347, 320, 275, 212, 131, 32?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 12*v**2. Let b(m) = -342*m**2 + 599. Determine b(k(w)).\nAnswer: -49248*w**4 + 599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(175))*2)**2 + (sqrt(7) + -1 + sqrt(14)\/sqrt(2))*-5.\nAnswer: -10*sqrt(7) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2588247 + 2?\nAnswer: -2588245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6769543? (a) 4\/5 (b) 1 (c) 0.5 (d) -2 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43320.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5925 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/8*-6)\/(4\/(-32)). Let b be 1 + p + -2 + -5. Solve b*g + 2*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -7*(-9)\/(-15))*-15. What is the highest common divisor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 times 268?\nAnswer: 455.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137996118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 65*s - 3627536 = -37*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from fbbflofoobbb?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/6 - 2*q**3\/3 + q**2 - 21*q. Let c(r) = -3*r**2 + 5*r - 2. Give 6*a(f) + 5*c(f).\nAnswer: -3*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/15*(96 - 101). Solve 11*n + r*n = -60 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:16 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1155890 and 11510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33751?\nAnswer: 33751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2690 and 45?\nAnswer: 24210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*v = -364*v + 805 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 275094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6680 - -6703. Solve -y = -30*a + 37 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.9 + 14. Let v = -0.6 + w. Let j be (3\/(-2))\/(3\/8). Which is the third biggest value? (a) j (b) -1\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 16*o**2 + 169*o + 30. Let i(m) = 7*m**2 + 75*m + 15. Let l(w) = -9*i(w) + 4*s(w). Suppose -3*g = -8*g. Determine l(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158 smaller than 10424\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.23 + -0.09.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/14*(3 - 2)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3844 - 3846. What is the third biggest value in d, -166\/3, 0.3?\nAnswer: -166\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 2, -4, 0.16, -2500?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/13 - 14\/56*16\/52?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 93 - 1055 = 0. Let s = y - -77. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 1167 - 48*c - 464 - 386 - 401.\nAnswer: -3*(c + 2)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*z - 17053901 = -17048449 for z.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1639570 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 204673307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 32 = 3*d. Let x(f) = 5*f - 5 - d*f**2 + 0*f - f**2. Let u(w) = 5*w**2 - 3*w + 3. Suppose 4*t = 30 - 10. What is t*u(k) + 3*x(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064575 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*n - 77*n + 96. What is the highest common divisor of n and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3950 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/8 and -11\/384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 63 (b) 2\/9 (c) 1.011 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(40) + sqrt(11) + -4 + -5*sqrt(11)*3 + -1)**2.\nAnswer: 135*sqrt(11) + 8119\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2. Let m(s) = -4*s. Calculate l(m(w)).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**3 - 6288*z**2 - 2111760*z - 203212800 = 0.\nAnswer: -1152, -210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0927 + -1.9073. What is the nearest to 2\/9 in -16, -0.6, q?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = 4. Suppose -4*h = -7 - 1. Suppose h*k = 2*f + 4, 0*k - 3*k + 9 = -s*f. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1, 0.078, 4 in increasing order.\nAnswer: -1, -0.05, 0.078, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 98870731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011011101 + -11010011011010?\nAnswer: -100011110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 9*v**2 + 16*v - 9. Suppose 0 = -4*i - 165 - 27. Let a = 55 + i. What is the hundreds digit of n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2233 (base 6) to base 15.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 26. Suppose 338*z - 333*z - 2*l - 59 = 0, 128 = -5*z - 9*l. Put z, h, -1, 14 in ascending order.\nAnswer: -1, z, h, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47b2263 - -5?\nAnswer: -47b225a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2002202321 (base 4) to base 10\nAnswer: -534713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t - 4*q - 3, 4*t - 3*q = 21. Suppose -m + 5*p + 408 = -3*m, p + 638 = -t*m. Let z = -109 - m. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445 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: Let n(z) = -z**2. Let s(o) = 24*o + 18. Suppose -5*b - 2*b - 126 = 0. Let u(f) = -f - 1. Let q(c) = b*u(c) - s(c). What is n(q(l))?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/2374111?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -11, 5 in ascending order.\nAnswer: -11, -1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 5 (c) -2.6 (d) 0.3 (e) 0.5 (f) -2762 (g) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1137*0.2.\nAnswer: -227.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 divided by -151?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230 + -123?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 11*z + 24. Is q(7) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*12\/9*(-12)\/(-864)*-9.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-40)\/(-330)*1\/4.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 31 = -4*s, 4*f + 4 + 0 = 4*s. Suppose s*k = -3 - 13, -k = 4*v - 212. What is the lowest common multiple of v and 42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-12) - 117\/6. Let y = 23 + r. Solve 0*g - 3*q - y = -2*g, 6 = -5*g + 3*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1321477175 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) 3 (c) -1 (d) -4 (e) -285\/2 (f) 2\/5 (g) 25\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-6))\/(4\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-302)\/(-152) + -2)\/(36\/(-288)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/42 less than 750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1831621.\nAnswer: 11, 269, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -234 + -30 - -243 - (6 + 1 - 0)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.03847 seconds in milliseconds?\nAnswer: 24038.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*n**2*x + 129400*n**2 - 3*n*x - 112*n + 3763*x wrt n?\nAnswer: -60*x + 258800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -2\/5 (c) -12 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**2 + 9*y - 1. Suppose -13*f - 126 = 8*f. Let j(x) = -7*x**2 - 8*x + 1. Give f*j(w) - 5*k(w).\nAnswer: 2*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 6. Let a be n(3). Let j(q) = 5*q + 4. Let k(s) = -s - 1. Determine a*k(w) - 3*j(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 5, 1 in decreasing order.\nAnswer: 5, 1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**4\/24 + f**3\/2 - f**2. What are the prime factors of g(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - y**2 - 53*y + 33. Calculate f(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 148 times -6.925\nAnswer: -1024.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = 6*x - 21505. List the prime factors of x.\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 693 and 1377992?\nAnswer: 12401928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33.94988l?\nAnswer: 33949.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 51*n. Let x = 17804 - 17809. Let c(f) = 50*f. What is x*c(k) + 6*h(k)?\nAnswer: 56*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-3)\/(sqrt(4)*2*2) - (-1*(sqrt(48))**2 + sqrt(192)*2 + -6*(0 + sqrt(3))*-2).\nAnswer: -121*sqrt(3)\/4 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t - 66. Let v be w(-9). Let j be (15*-10)\/((-10)\/((-380)\/v)). What is j rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 14\/16)*(-27288)\/(-1516) + (-68)\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 42*i**2. Let z(q) be the first derivative of 2*q**2 + 16. What is t(z(y))?\nAnswer: 672*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**3 - 11*i**2 - 21*i + 46. Is n(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509874049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -120a1 - a?\nAnswer: -12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, i: 3}. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 h when three letters picked without replacement from miililhimlhhmhlmlii.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*i + 275, 28*i - 25*i = 4*y - 1074. Calculate the remainder when y is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from papaaapaap. Give prob of picking 2 a and 1 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v**2 - 8*v - 7. Is m(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - t = -g - 175, 0 = -2*g - 3*t + 57. Let d = 392 - 250. What is the remainder when d is divided by g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1300 + 4?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15267*i**3 - 14793*i**2 - 33001*i - 309.\nAnswer: -91602*i - 29586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 26 = -0*w. Let o = 7 - w. Let l(j) = 7*j + 7. Let m(i) = -i - 1. Give o*m(c) - l(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7815446220.\nAnswer: 2, 3, 5, 193, 331, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-93))\/(1\/2)*(-14)\/14?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1896 - -5684\/3. Which is the third smallest value? (a) 1\/6 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253842 (base 15) to base 4.\nAnswer: 12303200312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i + 11. Let o be t(5). Let g = o - -16. Suppose -g*f + 12*f = 60. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/2*(-1)\/(-18)*-12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*(b*b*(b*(b*b**(2\/37)*b)\/b)\/b)\/b)*b**(-2\/25)\/b)\/(b\/((b\/(b**2*b))\/b*b)*b**(-5\/8)) assuming b is positive.\nAnswer: b**(-33367\/7400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 6. Let t be (-9 + -3)\/4 - 2. Let s be j(t). Suppose 0 = -s*g + 6*g. Which is the second biggest value? (a) 3\/4 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 7*r + 16 = c, -2*r + 16 = -2*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 8*i**3 - i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -5, -105, -1, 3, -252\/43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**4 - 275*v**3 - 5*v**2 + 275*v = 0. What is v?\nAnswer: -1, 0, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - 4 - -1*1. Suppose -2*p - g = 3, 5*p = 2*d - 25. What is the greatest common factor of d and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -252 - -2766\/11. What is the nearest to 0.1 in -0.2, -0.3, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 4)*(-2 + 3 + 4)*(35*x + 6*x - 3*x).\nAnswer: 570*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 a factor of 1093294554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*t**3 + 2614*t**2 - 3416498*t + 4465362886\/3.\nAnswer: -2*(t - 1307)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13069 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15825 and -109.68183.\nAnswer: 15715.31817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.2. Let d = 0.5 + q. Let z = d - 0.4. Which is the second smallest value? (a) -4 (b) z (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/6)\/(70\/315). Let t be (25\/(-140))\/(-4 + v). Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 0, -96 in increasing order.\nAnswer: -96, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 41*n + 45*n + 38*n - 129*n. Let v = 17 - 13. Suppose -2 = -5*d + 3*d, 10 = 2*m + v*d. Calculate x(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - 19*k - 154. Let n = 17 - k. Calculate the remainder when n is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i + 2. Let x(b) = 34*b - 15. Let u(k) be the first derivative of -8 - 5*k + 11\/2*k**2. Let h(p) = 8*u(p) - 3*x(p). Calculate -3*h(w) + 8*s(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 534.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j, -k - 2*j = 3*j - 8. Suppose 4*f - 12 = k. Suppose 5*x = 3*m - 21, 2*x - f = 1. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61800)\/(-12875)*70\/(-32).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -3, 2\/11, 2\/221, -1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 31 = 4*d, 2*d = -3*i - 0*i + 23. What is the greatest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**4\/4 + 17*p**3\/3 - 15*p**2 + 2*p + 23. Let w be m(15). List the prime factors of (3\/(-15))\/(w\/(-10)) + 60.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 28 = -g - 5*j, 3*j = 4*g + 31 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o + 12 = -48*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1465 is divided by 952?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000057117387 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*11\/88*20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35637331061521673928787\/622740 - -57226661305737992. Let g = y - 2118933\/97. Let w = 1\/321 - g. What is the common denominator of 47\/10 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2698.885 kilometers to nanometers.\nAnswer: 2698885000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125.99 + 0.121.\nAnswer: 126.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 2*i. Determine v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, d: 2, h: 1}. What is prob of sequence ddsh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 7 (b) 2\/21 (c) -11\/9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)*z*z)**31\/(z\/((z**(4\/7)\/z)\/z)*z**(3\/4)))\/(z**1*z*z**(2\/5)*z)**(-4\/13) assuming z is positive.\nAnswer: z**(131527\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.2617 - -2.8817. Let w = -7.2 - -1.2. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75\/47 - 103\/94. Determine u, given that -q*u**2 + 3*u + 0 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -6*w**3 + 21*w - 21*w + 5*w**4 + 16. What is the third derivative of z(t) wrt t?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -6, 3\/332, -1\/761, 0.5, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b - 2. Suppose 2 = -z + 5*v, -2*z - 3*v = -6*v - 3. Let g(n) = -11*n + 5. What is z*g(r) + 7*k(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2880\/(-448)*(-14)\/20?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 5*f**3\/3 - 45*f**2 + 405*f + 1000. Determine m, given that d(m) = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7128 is divided by 1047?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(33)\/((-1*sqrt(3) - sqrt(3))*-2).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 3. Let f(n) = -n**2 + 14*n - 45. Let q be f(9). Let k be c(q). Solve 3*o + 6 = -k*u, 6*o - 3*o + 4*u + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 737149 and 0.2?\nAnswer: 737148.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 128 * 5\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324262.\nAnswer: 2, 197, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 - 8. Suppose 2*w - 122 = n, -4*n + l - 4 = 2*w. What are the prime factors of w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**18)**(-20)*(c*c*c**21)\/c*c**27 assuming c is positive.\nAnswer: c**389","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*-6 + (3942 - (-18)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -30?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 2324, -2, -10.\nAnswer: -105, -10, -2, 2324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 395308501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 11209484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w - 15. Let p be g(5). Suppose -16*l + p*l = -216. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.124829m to centimeters.\nAnswer: 612.4829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3065205 and -0.1.\nAnswer: -306520.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2616*q**2 - 20*q - 5. Is c(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 2. Let g(a) = 5*a + 3. Let j(y) = 3*g(y) - 4*v(y). Let m(q) = 12*q + 23. Let f(i) = 2*j(i) + m(i). What is the first derivative of f(t) wrt t?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*m - 21*m + 63069 - 67125 for m.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3.365, -4 in decreasing order.\nAnswer: 3.365, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4185\/62*1*64\/(-80).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 p, and 1 m when three letters picked without replacement from mjpjkjp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6614.33 kilometers to centimeters.\nAnswer: 661433000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5848 to the nearest one hundred.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/42, -0.8, 34, -20\/3, 0.2?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, b: 8, c: 1}. Give prob of picking 2 b, 1 i, and 1 c.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127926 > 1127930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -1 - 15. Let s be 2\/o + (-35)\/(-300). Does s = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 254. Let j(k) = 5*k - 576. Let x(m) = -9*h(m) - 4*j(m). Let p(d) = 4*d - 36. Give 4*p(v) + 9*x(v).\nAnswer: -2*v + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/5 of a decade in years?\nAnswer: 22","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -727\/1415 or 0?\nAnswer: -727\/1415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*w + 3*w + 4*a, a - 24 = -2*w. Suppose 6*o = -w*o + 9158. Does 27 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 4*f + 11. Suppose 0*x + x + 1 = 0, -f = -3*k + 2*x. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -23775\/29326?\nAnswer: -23775\/29326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25728199 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27617 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957264820?\nAnswer: 2, 5, 1237, 38693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 71205*h - 213660.\nAnswer: 5*(h - 14244)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 76*r + 663. Calculate the remainder when q(-7) is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 15*z - 1. Suppose 2 = 4*c - 18, 3*u + c - 8 = 0. What is the remainder when 26 is divided by l(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -194\/5 - -39. Let n = 3.5 - 3. Sort x, n, 0.4 in decreasing order.\nAnswer: n, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.29*-1046\nAnswer: 1349.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/230 and -83\/46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 79*q**2 + 222*q + 462. Let o be z(76). Let u(p) = 13*p + 8. Let y(m) = 26*m + 15. Give o*y(s) - 11*u(s).\nAnswer: 13*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 7. Let w(i) = i**3 - 2*i**2 - 3*i. Let t be w(4). Let o = t - 12. What is the units digit of g(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/8 of a micrometer?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33762*c**2*h**3*v*y + c**2*h**3*y - 17*c**2*h*y - 84*c**2*y - c*h**3*v*y - 2*c*h**2 - 9*h*y - y wrt v.\nAnswer: -33762*c**2*h**3*y - c*h**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54, -41, -34, -33, -38, -49?\n\"Answer: -3*i**2 + 22*i - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -352721 (c) -3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -951116 by 3349.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124\/39 - -10\/3. Let k = -0.32 - -0.22. Let m = 0.2 + -0.1. Which is the nearest to -1? (a) m (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 289 - 10. Let s = 279.0000751 - t. What is s rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 14912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -2)\/(1*(-3)\/12). Suppose -d = 2*h - 417, -9 = d - o. Is h a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3478\/9 - 1139\/3. Find the common denominator of -47\/1536 and r.\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7\/303 + 733\/14241. Let t = a + -346\/47. Find the common denominator of 29\/6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 16?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13778919?\nAnswer: 3, 7, 11, 59, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/3? (a) 81 (b) -0.3 (c) 1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.45\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 891435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4897? (a) 3\/7 (b) 11 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 2\/15 (b) 4\/9 (c) -3\/11 (d) -1\/168 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7693*q**3 - 3799*q**3 - 611*q**3 + 26 - 25.\nAnswer: -12103*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Suppose 4*d + 6 = -3*f + 5*f, -4*f = -12. Suppose -4*v + c = -d, 0 = 2*x - 5*v - 9. 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 d(k) = -7*k + 16. Let c be d(2). Let z(l) = -l**2 + 4*l + 3. Let h be z(4). Suppose c*y + 3 = h*y. Solve -y = -j - 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63\/2 + -31. Let t = 0.0524 - 0.3524. Let v = -4.1 + 3.1. What is the nearest to -1 in y, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((0 + 4\/(-44))\/1). Let t = 37 - z. What is the second derivative of -t*f + 5*f - 83*f**3 + 80*f**3 wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/231700973?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 317833048 to the power of 1\/3, to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**7\/420 - f**6\/45 + f**5\/20 - 22*f**3 - 3*f**2 + 2. Let t(r) be the first derivative of q(r). Factor t(j).\nAnswer: 2*j*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -104*w + 1550. Give q(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2908826km?\nAnswer: 29088.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -33069*c + 231478. Determine p(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/31)*l\/(l*l*l**(-28))*l assuming l is positive.\nAnswer: l**(866\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34367 + 34369. Sort -219, 1\/8, x.\nAnswer: -219, 1\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, 2\/7, 5, -2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 52*x + 51*x - 13, 3*v - 18 = 8*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-45) - 9\/15) + 4240\/1200?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/12 and 77\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1117 + 726?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10296053 to the power of 1\/2, to the nearest integer?\nAnswer: 3209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j + 16 = -2*s, 3*j = -4*s - 18. Suppose o + 4*b - 2 = 0, 3*o + 2*b = -2*b + 22. Suppose 5*w = -o - 0. Do w and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 18. Let c be u(11). Suppose c*w - 4*w + 12 = 0. Does w = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502858728 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.366645 millimeters in nanometers?\nAnswer: 6366645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n. Let d(m) be the second derivative of -m**6\/90 - 5*m**3\/3 - 7*m. Let x(k) be the second derivative of d(k). Calculate x(t(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -8685 to the nearest 100.\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjxxlllxljx. What is prob of picking 2 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/15 - 2*a**2\/5 + 8*a\/15.\nAnswer: -2*a*(a - 1)*(a + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 2*g**2 - 17)*(0*g + 0*g + 2*g**2) - g**4 + 2*g**4 + g**4 + 9*g**2 - 4*g**4 - 9*g**2 in the form y*g + f + a*g**4 + s*g**3 + k*g**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*(-24)\/1728)\/((2\/(-1))\/(-64))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32622589.6 rounded to the nearest 100000?\nAnswer: -32600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + -4 - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/((-2)\/12). Suppose -8 = -5*h + 3*h. Suppose k*f = 4*b - 278, 3*b + h*f + 99 = 313. What is the highest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 6*s + 8. Suppose s = 2*n - 6. What is the second derivative of i**4 + i - n*i - 2*i**4 + 2*i wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4, -5*h + 14*x = 17*x - 23. Is 48 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1031 + 5136\/5. Which is the nearest to -2? (a) -3 (b) -1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13026.570546 to the nearest 10.\nAnswer: -13030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 15*l + 154. Let b be p(-12). Let c = -0.9 - -0.1. Let h = 0.8 + c. Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 621568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522 = 17*c + 14*c + 27*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/24910 + 134457\/473290. Find the common denominator of 47\/1625 and q.\nAnswer: 30875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(-77*z**4 - 125 + 125).\nAnswer: -77*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42122, 42119, 42116, 42113, 42110, 42107?\n\"Answer: -3*o + 42125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58.5 + -79. Let u = -20 - l. Let i = -0.71 - 2.29. Sort 5, i, u, -4\/5.\nAnswer: i, -4\/5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5 + 4*a**2 - a**5 + a**5 - 2*a**3 + 0*a**5 - 4*a**3 = 0. What is a?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502.009 rounded to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6 - 6 + 4 - l + 0 - l + l**2. Let w = 4 + -2. Let u be n(w). Solve -u*y = y + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/6 - 71873*f**2\/3 + 5165728129*f\/6.\nAnswer: f*(f - 71873)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 14 - (10 - (7 + 14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.0105\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 5284776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -2*w**3\/21 - 51*w**2\/7 - 540*w\/7 + 800. Suppose c(d) = 0. What is d?\nAnswer: -45, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 5*u + 1. Let o be m(4). Suppose 0 = 9*j - o*j - 8. What is the closest to 2\/3 in -1\/5, j, -1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 811*y + 204*y = -220*y - 4940 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i**2 - 14*i**2 - 35*i**2)*(1 - 4 + 2)*(-i - 3*i + 6*i)*(-2 + 2 + 2) + (-i + 5*i**2 + i)*(-2*i + 2*i + 2*i).\nAnswer: 250*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-578)\/(-246) + (-2 - 0). Let m be (-2)\/(-164)*(-8)\/(-6). Let h = m - s. Which is the closest to 1? (a) 1\/3 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -1\/12*p**5 + 1\/2*p**3 + 1\/120*p**6 - 7\/24*p**4 + 0*p + 7*p**2 + 0. Calculate g(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 218464 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9) + (-14 - (-2336)\/176).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*q - 270*z + 271*z, 6*q - 5*z - 39 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 622*b + 629*b - 1826*b + 669*b. Let p(u) = 4*u. Give p(t(s)).\nAnswer: 376*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -129, 243, 1605, 4443, 9243, 16491?\n\"Answer: 81*g**3 + 9*g**2 - 222*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67191113?\nAnswer: 11, 6108283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 127?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 6 - 6 + (0 - 1 - 1)*(-3*x - x - 29*x) in the form k + s*x and give s.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1043 - 210225?\nAnswer: -211312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -464160\/1493 or -312?\nAnswer: -464160\/1493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 + -352\/5. Suppose -4*m + 2 = -6. Suppose -5*f + 3*f + n = -9, -f - m*n + 2 = 0. Which is the smallest value? (a) z (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 72 = 2*k - 3*i, -4*k + 296 = -4*i. Calculate the highest common divisor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - 87*z + 45. What is the hundreds digit of g(55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.5511 micrometers in kilometers?\nAnswer: 0.0000001875511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-2)\/3*-3. Let k(a) be the first derivative of 0*a - 1\/3*a**6 + 0*a**2 - 2 + 0*a**5 + 1\/3*a**3 + 0*a**o. Find the third derivative of k(v) wrt v.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257\/6 + -259\/30. Which is smaller: w or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 49*b**2 - 11541*b + 78381. What is w(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-38)*(8 + (-598)\/69)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - u - 4*u**2 + 1 - u - u**3. Let v = -343 + 347. Determine g(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/6 + 5*v**3\/6 + v**2 = 0. Calculate v.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, 1 g, and 1 o when four letters picked without replacement from gjgojgkgggkggggogkgo?\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**4\/24 + 2*y**3\/3 + 9*y**2. What is the first derivative of c(q) wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**7\/105 + 7*n**6\/75 + 3*n**5\/50 - 31*n**4\/30 + 4*n**3\/3 + 20*n - 26. Determine w, given that t(w) = 0.\nAnswer: -5, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 6*x**2 - 5*x - 9. Suppose 5*z = -3*k + 152, -9 = 5*k - 29. Let q = z - 21. Let h be g(q). Solve 3*m - 3*w = -9, 5*w - 1 = -4*m + h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 - 731 + 731.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 13 + 27*f**2 - 28*f**2 - 8*f**2 - 13.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -11*t. Let f be x(3). Let y = -98\/3 - f. Which is the nearest to -1\/4? (a) -1\/3 (b) -1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6) - -1)\/(34\/102). Solve -q + l*q = 5*p + 13, 0 = 4*q + 2*p - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - t**2 - 334*t + 20029. List the prime factors of p(0).\nAnswer: 20029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087 is divided by 384.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -22, -114 in decreasing order.\nAnswer: 4, -5, -22, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-2 - 860\/12). Let r(w) = 2*w**3 - 3*w**2 + 3*w. Let y be r(2). Let u = s - y. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/557615?\nAnswer: 2\/557615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:48 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 190929\nAnswer: 190929.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(2\/(-4)). Let c = u + 1. What is the remainder when (8\/(-12))\/(2\/(-18)) is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**5\/20 + x**4\/3 + x**3\/3 + x**2\/2 - 16*x + 1. Let s = 5 - 1. Determine z(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n - 12*c + 16*c + 307, -3*c = 2*n - 96. Calculate the remainder when 150 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 43 = -4*a, -4*u + 2*a + 39 = u. Let y be -2*((-2)\/4 + -4). What is the third derivative of -12 - d**2 - y*d**3 + 12 - u*d**2 wrt d?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 21. Let u(r) be the first derivative of -2 - 2\/3*r**i + 0*r**2 - 2*r. Differentiate u(q) wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 930 divided by -93\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -35*l**2 - 755*l + 815. Let p(s) = -3*s**2 - 63*s + 68. Let c(y) = 2*b(y) - 25*p(y). Solve c(g) = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*z - 69*z - 33*z + 127*z + 5 to h + l*z and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*y - 4*t, 2*t = -t + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -446*v + 69*v - 1 + 1 - 106*v as s + n*v and give n.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 + -106. Calculate the remainder when 110 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10122 - 2?\nAnswer: 10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-189)*28\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06493 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 423384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 143.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b4d - 3717?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 110642 and 19?\nAnswer: 2102198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20815616 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvnvyri. What is prob of picking 1 n and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 5. Let o be l(5). Suppose o = -2*t - 3*t + 15. What is the second derivative of 0*v - 2*v + v**2 + t*v wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-20)*(-6)\/(-9)*12. Find w such that n*w**2 + 4\/5*w - 8\/5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45935 (base 11) in base 10?\nAnswer: 66346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -62954 - -0.26\nAnswer: -62953.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 383577 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 4, 653, -25, -3 in descending order.\nAnswer: 653, 4, 2, -3, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -4, 2, 0.93?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 0 - -4 - -152. Suppose 4*z + i = 9*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.114? (a) -0.04 (b) -1525 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28203605\/172 - 163975. Calculate the common denominator of 39\/11 and l.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 62*a**3 - 63*a**3 - 22*a + 3 - 3 + a**3 + (3*a**2 + a**2 - 5*a**2)*(-a + a - 2*a).\nAnswer: 2*a**3 - 23*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -950253920 divided by -19705.\nAnswer: 48224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(8)\/sqrt(4) + sqrt(2)) - sqrt(16)\/sqrt(2)) + sqrt(12)\/(sqrt(6) - sqrt(216)*-1).\nAnswer: -27*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*(-10)\/450*10. Solve -2*t = q*c, 3*c - 3*t = 4*c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 5*h**4\/12 - h**3\/3 - 9*h**2. List the prime factors of n(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*q + 67*q + 277 + 2215 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421 is divided by 885.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 364 = 3*c. Let a = c + 500. Suppose 18*k + a = 22*k. What are the prime factors of k?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 + 799*r**2 - 799*r**2 + 4*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*w + 7*w - 17*w)*(-w + w - 2*w)*(0 + 4 - 3)*(-1 + 13*w + 1)*(1 - 1 + w).\nAnswer: -52*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*w**2 + 176*w + 2 wrt w?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14428246, 14428272, 14428322, 14428408, 14428542?\n\"Answer: 2*j**3 + 12*j + 14428232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 159999, 319998, 479997, 639996?\n\"Answer: 159999*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 3*c**2 + c + 645. What is the remainder when g(0) is divided by 93?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + 1 - (-4151 + 4193)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4131*m - 2313*m - 8 - 4246*m + 1598*m.\nAnswer: -9092*m - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g - 988 = 34*g. Let b = g + -176. Let o = b - 66. Sort -4, o, -6, -3.\nAnswer: -6, -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 11*a**4 + a + 10*a**4 - 1 to the form q*a**4 + x*a + l*a**2 + u + p*a**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Suppose 2*u = -5*x + 26, 61 = 5*x - 5*u + 21. Solve 18 = h*v - s, v - s = x - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 11. Suppose 2*d + 1 + 3 = 2*g, -3*g = 2*d + 19. What is m(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49406*s**4 + 16292*s - 4 wrt s.\nAnswer: 592872*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 150*y**2 - 12453*y + 235. Calculate r(83).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -223938.88 and -27?\nAnswer: 223911.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 182204776 to the power of 1\/2, to the nearest integer?\nAnswer: 13498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-7) + 11\/(-14))*1. Which is the smallest value? (a) z (b) -0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + 1560\/380 + (-2)\/19. Solve -5*y = 5*p - 25, -y + 2*y + v = 5*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88183368?\nAnswer: 2, 3, 7, 13, 43, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 224815.05 months in years?\nAnswer: 18734.5875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5822164055 by -5.\nAnswer: 1164432811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350.4115 millilitres to litres.\nAnswer: 0.3504115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4173 - 5122 = -845*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45818 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7991*a**2 - 1791*a**2 + 8355*a**2.\nAnswer: 14555*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-5 - (7 + -6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 7*w**5\/5 + 4*w**4 - 340*w**3 + 855. Find the third derivative of n(m) wrt m.\nAnswer: 168*m + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45449022449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(2\/5)*r))**(8\/11)\/(r*r**(-10)*r*r*r**13))**46 assuming r is positive.\nAnswer: r**(-15916\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i\/i**(-26)))\/i))**(-2\/25)*(i*i**(-20)*i)**(-2\/51))**(-2\/103) assuming i is positive.\nAnswer: i**(1304\/43775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 17. Let a be w(-7). Let g = -22 - a. Suppose -94 = -2*o + 4*y, -g*o + y + 100 = -y. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 49*o**2 - 531*o - 44. Let d be v(-16). Solve -3*b - 3*k = 0, 0 = b - 0*k - d*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Let o(m) = 3*m + 2. Let b(n) = -16*n + 2. Let r(q) = 16*q - 5. Let f(y) = 5*b(y) + 4*r(y). What is a*f(p) + 11*o(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 8*u**2 + 6*u + 56. Determine s(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 4 + -4 - -11. Solve -6 = 3*b - h, 3*h - d = -3*b - h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -23 + 26 + -1 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, l: 3, s: 3, x: 5, u: 3}. What is prob of sequence lx?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6732168 divided by 4?\nAnswer: 1683042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 - 116*x**3\/3 - 632*x**2\/3 - 228*x - 54 = 0.\nAnswer: -9, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7566*p**3 + 4158*p**3 + 3463*p**3.\nAnswer: 55*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f**2. Let j(v) = 25*v - 1435. Let u be j(58). Let c(d) be the first derivative of -u + 0*d + 5\/2*d**2. What is c(x(o))?\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99553 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3953, 4044, 4135, 4226?\nAnswer: 4317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -194759\nAnswer: -97379.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -8357, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 + 299\/3. Suppose -d*p**5 + 0*p - 2\/3*p**2 + 2\/3*p**3 + 0 + 2\/3*p**4 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 1)*(-10)\/(-195). Let p = 109 + -231\/2. Let k = -7 - p. What is the third smallest value in k, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**4\/24 + q**3 - 4*q**2. Let p be j(8). Sort p, 4, 5.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 2*o - 3*h, 5*o + h - 241 = 44. Suppose o = 4*p - 70. Solve p*r - 35*r - 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 19*t**2 + 18*t - 3. Let p be d(-18). Let l be -8*1*p\/3. Suppose -4*x = l*x - 1548. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(-1 + sqrt(28)) + (sqrt(28) - sqrt(112)\/sqrt(4)) + -3) - ((3*sqrt(3500) + sqrt(3500) - sqrt(35))\/(sqrt(40)\/sqrt(32) + sqrt(5)))**2.\nAnswer: -4738 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3 - 983*n**2 + 42336*n - 118188 = 0.\nAnswer: 3, 42, 938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 9048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 9}. What is prob of picking 1 z and 1 t?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 9:25 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 4:56 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89860 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2645*f**2 - 1150*f + 125.\nAnswer: 5*(23*f - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -15 + 13 + (4 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**8\/896 - f**7\/280 + 5*f**6\/64 + f**5\/80 - 3*f**4\/8 + 3*f**2 + 109. Suppose z(v) = 0. Calculate v.\nAnswer: -6, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t + 4*a = 12, -5 = -a. Is t\/(3\/(-2 - 16)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2990840.99284 - 2990893. Let o = w - -52. Let m = o + 0.006. Round m to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 3*j - 4. What is q(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26929 + -26815. Calculate the greatest common divisor of 492 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1714 and 16283.\nAnswer: 32566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 170 = -5*f, 5*f - 135 = -r + 35. Let o = f - 17. Suppose 22*w - 100 = o*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -152.9, -5\/3?\nAnswer: -152.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2151*j**2. Let u(p) = -13878*p - 1. Give u(m(n)).\nAnswer: 29851578*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -3\/7 (b) -4 (c) -8\/85 (d) 2\/3 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 1)*(-3 + 2 + 0)*(0 - 7 - 1)*(1 + 6*o + 0 + 4*o).\nAnswer: 320*o + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 22 = 2*u - 10, -5*n + 18 = -u. Suppose 0*h - 4 = -h. Determine r so that r**3 + 0*r**2 + r**u + 0*r - r**h - r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p + 34. Give q(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/6)\/(5\/15). Let c(y) = y + 1. Let d(l) = -l**2 - 4*l + 2. Let q(n) = v*d(n) + 2*c(n). Let h be q(-4). Let f(p) = p**2 + 3*p - 2. Determine f(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - -0.33. Which is the third biggest value? (a) -3 (b) t (c) -3\/8 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -20937 (c) 39 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -666, -676, -692, -714, -742, -776, -816?\n\"Answer: -3*s**2 - s - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*w + 179*w = -644 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5922 - 5918. Sort 0.6, -1\/2, c, -5.\nAnswer: -5, -1\/2, 0.6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15130962 divided by -5?\nAnswer: -15130962\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40.61548 and 0.5.\nAnswer: 41.11548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1007 + -408. What are the prime factors of w?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7*(-40)\/30*8415\/42?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((1 + 0)\/(-1)). Let u be 70\/42*6\/2. Let 12*m**p - 178*m**4 + 6*m**u + 75*m**4 + 88*m**4 - 3*m**2 = 0. What is m?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 8*w**2 + w - 9. Let k be s(8). Let b be 29*(0 + k + 2). Let f = -19 + b. Calculate the greatest common divisor of 40 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - z**2 - 5*z + 11. Let p be a(2). Suppose 7*l + 2*x - 820 = 4*l, -p*l - 5*x = -1370. What is the remainder when l is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 1\/36*l**4 + 2 + 0*l**3 + 0*l**2 + l. Let u(c) be the first derivative of a(c). Factor u(m).\nAnswer: m**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*i - 2*o + 45, -i = 3*o. Let j be (-3*2\/i)\/(5\/(-25)). Let t be (j*3\/(-30))\/(16\/10). Which is bigger: -1\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3402, -1988, -576, 834, 2242, 3648, 5052?\n\"Answer: -z**2 + 1417*z - 4818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 8529687.\nAnswer: 93826557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 22512 = 12282. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**15*l*l*l**(-7\/3)*(l*l\/l**(-16))\/(l\/((l\/l**(-1\/5))\/l)) assuming l is positive.\nAnswer: l**(478\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -409 at least -408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**3\/6 - m**2\/2 + 2*m. Let u be s(-3). Suppose -2*w + 7 = -3*i, -u*w + 2*i - 14 = -3*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u**5\/4 - 6367445*u**4\/4 + 101362322236*u**3 - 182448550597*u**2 + 97305333320*u - 16217513104 = 0 for u.\nAnswer: 2\/5, 1, 127348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.26, -121, -0.5, -0.3, 1.4376?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4442, 17831, 40162, 71435, 111650, 160807, 218906?\nAnswer: 285947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11130 - -21022?\nAnswer: 4342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 7. Suppose v*p + 32 = -5*b, -3*p + 13 = -4*b - 2*p. Let s be (1 - 1)*(b - -3). Solve g + g + 2*i - 10 = s, -3*g + 5 = i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 3438 = -2466. Calculate the remainder when j is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*o - 4*f - f + 19, -44*f + 66 + 30 = -9*o - 45*f for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + -15*(-10)\/42. Let z be (4\/(-5))\/(12\/360). Let q = 26 + z. Which is greater: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 a when three letters picked without replacement from {a: 6, z: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 3*r**2 - 4*r + 7. What is u(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -343492 times -4?\nAnswer: 1373968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - -3.01. Let x = 1\/22 - 73\/154. What is the third biggest value in -1, p, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.039 (b) -1\/2 (c) 2 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-357)\/(-140))*50\/(-18)*(-159)\/(-530).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1966\/9, 4 in descending order.\nAnswer: 4, 1, -5, -1966\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 96368 = -84138. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -7)\/(6\/4). Suppose 0 = -a + 5*w + 10 + g, -5*a - w + 2 = 0. Which is greater: a or -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -642, -924, -1422, -2136, -3066?\nAnswer: -4212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqaxxalolnll. Give prob of picking 1 q and 2 l.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*t - 0*t + 49, 40 = 5*t - 3*d. Let f = 19 - t. Suppose -3*o = -4*a + f + 1, -4*a = 5*o - 49. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3747 - 22583\/6. Suppose 0 = 3*z - 4*w + 15, 4*z - 4*w + 16 = -0*w. Find the common denominator of s and z + (-388)\/(-32) + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3282900 and 5648.\nAnswer: 13131600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 1. Let k(i) = 18*i**2 + 10*i - 62. Let r(n) = -k(n) - 10*x(n). What is the derivative of r(v) wrt v?\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 14*n**2 - 2*n + 23. Let h(j) = -13*j**2 + 2*j - 23. Let o(v) = 5*h(v) + 6*k(v). Differentiate o(t) wrt t.\nAnswer: 38*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvu when three letters picked without replacement from uquqvuuz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 33006.12um?\nAnswer: 0.00003300612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-8 + 4 - 0 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/12 - q**3\/3 + 3*q**2\/2 + q. Let u(t) = -t**2 + 1. Let i be (-6 - (8 - 5)) + -4 + 14. Give i*u(w) - v(w).\nAnswer: -2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*v - 15, -3*s - 31 = -5*v - 12. Suppose -5*w + 10376 = 3*w. Suppose 3*x - 4*o = w, v*o + 5 = -3*o. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 9*k**2 + 7*k - 5. Let w be s(-8). Suppose 4*y + 7*o = 3*o + 4, -y - 4 = -4*o. Solve y = -w*c + 4*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19010?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 450116, -1\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28241, -57056, -85857, -114638, -143393, -172116?\nAnswer: -200801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12388 at least 3.43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y**2. Let x be m(0). Suppose x*d + 3*d = 408. Suppose 0 = -4*a + d - 36. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 44*a - 231. Determine s(39).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*-1*(-1)\/(-2). Let v be 2*(r + (-2)\/(-6)). Let f = -142\/3 - -47. What is the third biggest value in -3\/2, v, f?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6) + (-2)\/4. Let i be 2 - (4 + c + -2). Solve 5*f + 8 + 7 = i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 3*v**2 + 4*v + 3. Let a be n(-3). Let t be a\/(-6)*(0 - -2). Find the second derivative of -x + 3*x + 6*x**2 + x - t*x**2 wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, p: 1, i: 3}. What is prob of picking 1 p and 3 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + 16. Suppose -12 = -3*f - v. Let r(t) = t**3 + 9*t**2 - 9*t - 6. Determine r(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -22*o**3 - 5*o**2 + 4*o - 2. Let b(s) = -22*s**3 - 6*s**2 + 5*s - 2. Determine 5*b(j) - 6*u(j).\nAnswer: 22*j**3 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 25*w**2 - 16 + 14*w + 12 + 84*w**2. Is s(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -369*a**4 - 76*a**2 + 78*a**2 + 151*a**4 + (-3*a**2 + 2*a**2 + 0*a**2)*(-2*a**2 - 4*a**2 + 4*a**2) - 2*a**4 - a**4 + 2*a**4.\nAnswer: -217*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 113*z + 2886. What is k(25)?\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.33 - -0.23. Let i = d + 2.1. Let f = i + -1. What is the second smallest value in f, -1, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**3 + 2 + 1 - 4*t**3 + t - 1 - 66*t**2 - 39*t**2 to n*t**2 + u*t + f*t**3 + s and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 - 208 = -c - 0*c - 0*c + p, 5*c - 35 = 797*p for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-9 - 4) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3 = p, i - 5 + 4 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-3) - 4*(-7)\/21. Factor -18*v**y - 26*v**3 - 6*v - v**2 + 45*v**3.\nAnswer: v*(v - 3)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71475 is divided by 7138.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and 412392.\nAnswer: 412392.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 126, 81, 36, -9, -54?\n\"Answer: -45*m + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*k + 7506, f - 188 = -k + 2314. Is 69 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 713 and -56.83.\nAnswer: -40519.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - b = 4, -24*b + 22*b = 4*t + 8. Let s(q) = -26*q**2 + q - 1. Let i be s(1). Do i and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.24 + 0.04. Let n = 0.2 + -0.2. Which is the nearest to -2\/3? (a) n (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -4 (b) -0.3 (c) 0 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 53 = 2*m. Let s = 460 - 455. What is the remainder when m is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3577 + 5461. What is the remainder when o is divided by 172?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 12:57 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*i = 4220 + 7120, -u = 6*i - 2289. What are the prime factors of u?\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 4:16 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -6 + 10. Let o(y) = 4 + 2*y - 3*y - 2*y**w + 0*y. Give o(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 + -4. Let k be (-1 - 2) + 40\/14. What is the nearest to -1\/4 in -2\/9, f, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -0.038551.\nAnswer: 0.261449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 3*m - 80 + 17, 0 = 4*l + 4*m - 64. Let r = -43\/3 + l. Let h = 0.05 + 0.15. Sort r, -1\/6, h in decreasing order.\nAnswer: r, h, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.26862 + -249.55862. Round z to the nearest integer.\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576942450 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 + 2*i + 6. Let b(a) = 5*a**2 - 6*a**2 + 4 - 3 + a. Calculate -2*b(s) + k(s).\nAnswer: -s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 11*s - 6. Let m be x(11). Let n = m + 8. Find w such that -w - 1\/3*w**3 + 1\/3 + w**n = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1467*t + 11750. Calculate s(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g + 8. Let h be c(-3). Let o = -4 + h. Suppose -y + 3*q - q + 972 = 0, 4*q = o. What is y rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4)*(-1)\/(-9). Let f = -18 - -10. Let y be f\/(-36) + 24\/135. What is the third smallest value in -3\/5, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 82, 153, 224, 295, 366, 437?\n\"Answer: 71*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3 = -y, 2*s - 17 = -3*y + 3*s. Put 3, 2, -0.2, y in ascending order.\nAnswer: -0.2, 2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28432?\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -59. Let a = c - -144. Suppose 2*n + 0*s - 4*s - 344 = 0, a = n + 4*s. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.5, 0.7, -10571 in ascending order.\nAnswer: -10571, -9.5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 + 2*b - 1. Let p(i) = 15*i**2 + i + 55. Let h(s) = 13*s**2 + 2*s + 36. Let d(y) = -3*h(y) + 2*p(y). Determine 3*d(q) + 5*v(q).\nAnswer: -2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000001 + 11011100?\nAnswer: -111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.907 to zero decimal places.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5132 or 5134?\nAnswer: 5132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1271838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 30*d**2 - 79*d + 1494. Determine a(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**2 - 5*p + 9. Let r(q) = 7*q**2 + 4*q - 8. Suppose 5*y - 2 + 22 = 0. Let i(w) = y*d(w) - 3*r(w). What is h in i(h) = 0?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1745ba (base 15) to base 7.\nAnswer: 12410143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(605) + 5*sqrt(605)*-2 + -3 + (sqrt(405) - 1*sqrt(405))\/sqrt(9).\nAnswer: -99*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 7.7. Let m = -0.7 + n. Let l = m - -4. Put l, 1, -3 in ascending order.\nAnswer: -3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5514635 minutes to nanoseconds.\nAnswer: 33087810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.047 from 1738753.\nAnswer: 1738735.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -101, -97, -103, -125, -169, -241?\n\"Answer: -g**3 + g**2 + 8*g - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201010 (base 3) in base 7?\nAnswer: -3426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - 38. Let y(a) = -a + 1. Let h(s) = i(s) - 2*y(s). Let c be h(8). Solve 0 = 2*p - c*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12238 + 12237. What is the closest to -2\/5 in -2, 7, h, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 751, 2268, 4787, 8308?\nAnswer: 12831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-2676\nAnswer: 1070.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -3*k - 3*b, -4*k = k + 3*b - 134. Let g be k + 5\/(15\/(-9)). Let y = 39 - g. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113683\/9804 - -10\/817. Calculate the common denominator of 46\/21 and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -273, -261.3, -2, -1.3, -2\/15?\nAnswer: -261.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1794524kg in grams?\nAnswer: 179.4524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:02 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -121*(-3)\/(-6)*(6 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/22)\/((-10044)\/(-396) + -27)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25420162 (base 7) to base 3.\nAnswer: 11100020020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 19*f - 21*f. What is the least common multiple of f*(2 - -10) - 0 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 6*n**3 + 9*n - 4*n**3.\nAnswer: 5*n**3 + 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**3 + 88 - y**3 + 77 - 175 + 10*y**2. Let o(m) = -5*m**3 - 11*m**2 + 11. Let s(x) = -6*j(x) - 5*o(x). Let b = -2 - -7. Give s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3198 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Let q = -7.9 + 8.1. Let r = 0.2 + -0.4. Which is the nearest to q? (a) l (b) r (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 2011?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*o = 32, 23 = 2*d + 4*o + o. Suppose -4*s - 6 = -3*q, 0 = 4*q + 3*s - 0 - 8. What is the remainder when d is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -137, -92505, 2, -1\/4?\nAnswer: -92505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-4)*(0 - -6). Suppose -6 = -3*s + s, 5*s = 3*r - p. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igmgmggmiii. What is prob of sequence mgim?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 0*x + 0*x)*(4 + 2*x**2 - 4) - 87 + 171 - 109*x**3 - 85 in the form a*x**3 + r*x + f*x**2 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5 = -2*r, -2*d + 6*d + 2*r + 10 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.2633722 and -2.\nAnswer: -26.5267444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.0383994\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1392406789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3180\/(-636))\/(1\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a millisecond in microseconds?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a. Suppose 5*m = -0 - 5. Let j be c(m). What is the closest to -1 in j, 2\/7, 4\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*19*(27\/(-6))\/((2184\/(-112))\/(-13)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 36935*p**3 - 913*p**2 - 2739*p + 913. Let w(d) = 81*d**3 - 2*d**2 - 6*d + 2. What is -2*b(s) + 913*w(s)?\nAnswer: 83*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -379, -1393, -3037, -5311, -8215?\n\"Answer: -315*u**2 - 69*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/13154 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471 = -4*v - 23. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 5555.\nAnswer: -555.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -574 + 1b?\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8*h - 1 - 6*h + 0.\nAnswer: -14*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-1\/2)*w)*w**8*w**7*w*w**(-3\/7))**(-10) assuming w is positive.\nAnswer: w**(-985\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -151721, -303441, -455159, -606875, -758589, -910301?\n\"Answer: l**2 - 151723*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*l + 164, 5*l + 263 + 56 = 2*r. Let t be (-58)\/(-78) + (-2)\/3 + (-27258)\/(-546) + -46. Which is the smallest value? (a) r (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1985 + -0.0544. What is n rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (30 + -21 - (-1 - -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -17. Suppose -2*a + 4 = 0, 5*a = -0*z + z + 7. What is the smallest value in -0.1, z, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333916750 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - l + 1. Let b(y) = -y**2 + 2. Let q = 0 - -3. Let k be q\/7 + (-408)\/119. Let w(o) = k*b(o) + 6*p(o). Factor w(r).\nAnswer: -3*r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1474 - 17717\/12. What is the common denominator of -47\/18 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 21*u**2 + 4*u + 3. What is a(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1842*f - 3738 = -596*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*c**3 + (2 + 1 - 1)*(3*c**3 + 2*c**3 - 6*c**3) - 2*c**3 + 4*c**2 - 4*c**2)*(-21 + 7*c + 21).\nAnswer: -42*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -224*z**2 + 2*z + 31.\nAnswer: -448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and ((-2)\/6*2)\/((-6)\/81).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17265.\nAnswer: 3, 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25934, 25935, 25936?\n\"Answer: n + 25933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61422499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4111399.\nAnswer: 17, 241847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 465576665 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 7:57 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3117*l - 21997. Calculate w(7).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 - -267. Let x = s - 123.3. Let y = 1 + -4. Sort x, y, -0.2 in descending order.\nAnswer: x, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 180 = -6*b + 4*s, 5*b + 3*s = 225. Suppose 2*y + y - b = 0. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*j**2 + 2 + 10*j**2 - 17*j**2 in the form l*j + n + k*j**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (91\/(-52)*(1 - -3))\/3. Which is the second smallest value? (a) -2\/7 (b) -1\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 161768*q - 1132180.\nAnswer: -4*(q - 40435)*(q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2. Let t(s) be the first derivative of 1 - 1\/2*s**2 + 0*s. Determine g(t(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**2 - 7. Let o(u) = -3*u**2 + 3. Let v(y) = -3*n(y) - 7*o(y). Is v(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2214670 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159 + -162. Let p be 10\/d*(-372)\/(-8). Which is bigger: -154 or p?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 222, 177, 90, -45, -234?\n\"Answer: -j**3 - 15*j**2 + 7*j + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 17 = -5*j. Calculate the highest common divisor of 119 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1495.\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684 < 1683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 65 (c) -350\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12339469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538293 + 536805 = 48*t for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/10 and 28\/23.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 41. Determine v(-21).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -11*d + 6. Let r be m(0). Suppose 0 = h + 5*t - r*t - 14275, 5*t - 71355 = -5*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 41, 80, 133, 200?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(7\/12)*(-170 - 6324\/(-36)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**(-2\/11)))**(2\/59)\/(b**(-12)\/b**(1\/8)) assuming b is positive.\nAnswer: b**(63161\/5192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -0.4, 1\/24, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -19, 1, -4 in ascending order.\nAnswer: -19, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/(-7))\/(8\/(-152)) and -7\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023 = -5*h + v - 941, 6*v + 44 = 2*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -767028575\/33534207 + 2\/532289. Let t = b + 76\/63. Let n = t - -22. Is n less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -49, -54, -57, -58, -57?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 15.\nAnswer: -13\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001010000110 + -11?\nAnswer: -1001001010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 45*f**2 + 38*f + 72. Let w be x(46). Let j(v) = -19*v**3 - 3*v**2 - v - 2. Let d be j(-3). Let b = d + w. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v - 303. Give h(7).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -2. Let q = 13 - n. Solve 2*z + t + 2 = q, -2*z - 2*z = -t + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 4952707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010158 to seven decimal places.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1778, 9163, 25174, 52841, 95194, 155263, 236078?\n\"Answer: 505*y**3 + 1283*y**2 + y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-18) + (-981)\/(-27). Which is smaller: j or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -18*b + 57. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22468 - -22468.118. Is t less than 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*p + 106*p - 1538 - 2746 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = o + 6. Let i(u) = u**2 + 1. Let w(l) = 6*l**2 + l + 4. Let z(h) = -3*i(h) + w(h). Let b be z(o). Sort b, 0.1, -0.2 in decreasing order.\nAnswer: b, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -32\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a. Let p be 42\/(-9)*(a - -3). Let m be (-2)\/7 - p\/49. Solve -4*v + 2*h = -v + 9, m = 3*v + 4*h - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s**3 - 19*s + 48. Let b(y) = 32*y**3 + 55*y - 145. Let t(f) = -6*b(f) - 17*v(f). Differentiate t(i) with respect to i.\nAnswer: -15*i**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 8:31 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n + 3*n**2 + 0 + 1\/3*n**3 + 1\/60*n**5 - 1\/6*n**4. List the prime factors of j(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 12 = -23*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 470478 by 78413.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*f + 3 = 0, 0 = 28*n - 30*n - 2*f + 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 - 26. Suppose 11*v - 13*v = -s. Solve 3*z + 13 = v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 55156742264 and -78.\nAnswer: 55156742186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1886390299.\nAnswer: 73, 191, 193, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3860*d + 264. Calculate v(0).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18072 and 955800?\nAnswer: 239905800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16969649740 + -2.\nAnswer: 16969649738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 3\/5, -0.0199, 0.1, -2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1026 + 143?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, y: 2}. Give prob of picking 2 c and 1 y.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s*s\/((s*s**(2\/3)*s)\/s*s))\/s))**(-47))**(-19) assuming s is positive.\nAnswer: s**(9823\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -10681.\nAnswer: -10679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 32391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -1 + -25 + (-43 - -34).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*t**2 + 54*t**2 + 44*t**2 - 125*t**2.\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 8*t**2 + 9*t - 160. Let g(f) = f - 3. Let p(m) = -3*g(m) - o(m). Let a(x) = -6*x**2. Give p(a(z)).\nAnswer: 114*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*d = -18*d + 62, -2*d + 5 - 18 = -o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19386 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-25) - (-13)\/(-5). Let w be h\/12 - 23\/4. Let b = -3 - w. What is the greatest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1548*v**2 - 1 + 1543*v**2 + 1.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*a**5*w + 5*a**5 + 4*a**2 + 22*w wrt a?\nAnswer: -900*a**2*w + 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d - 5. Let a = -18 + 0. Let w = -10 - a. Let n(v) = 2 - 4*v - w*v + 14*v. Determine -5*n(b) - 2*z(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2353131 and 6479?\nAnswer: 72947061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*l)*(1 + 2 - 4) + 0*l + 4*l + 2*l - 4*l + 11*l - 19*l to d + z*l and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 45. Factor -9*a**2 - 9*a**2 + 15*a**2 - n*a**4 + 6*a**3 - 3*a**2 + 2*a.\nAnswer: -2*a*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08638 and 5.\nAnswer: 5.08638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1920731 to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*(-6)\/36 - ((-52500)\/18 + -11) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 45*r**2 - 10*r + 18. Let g be j(3). Suppose -349 = -5*b - 2*p + g, -3*p = -4*b + 612. 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: What is the product of -244.66 and -18?\nAnswer: 4403.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5 - 60*i**2 - 20*i**3 + 5*i**4 - 1790 + 7*i**4 + 2*i**5 + 1838 + 16*i = 0.\nAnswer: -3, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 840.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2 = -4*f, p + 22*f = 14*f - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 + 0 + -12 + -15 + 44)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v = -379 + 120. Let x be 4\/(2\/1)*2. Suppose 0*l = -5*l - u + x, -4*l + v = -3*u. Is l at least as big as 4\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(700) - sqrt(28))\/(sqrt(16)\/sqrt(36))*-5.\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, t: 1, a: 2, f: 1, u: 2, o: 4}. Give prob of picking 2 y, 1 a, and 1 u.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35849676?\nAnswer: 2, 3, 2987473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 2*i + 38, 4*i + 263 = -299*g + 284*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 60*t**2 + 3 + 28*t**2)*(-2*t + 2*t - 3*t**2).\nAnswer: -264*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71, -292, -649, -1136, -1747, -2476?\n\"Answer: c**3 - 74*c**2 - 6*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 9:18 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**47)**15 assuming s is positive.\nAnswer: s**(-1410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 8*u**2 + 4*u - 9. Let n be y(-7). Let w = -2 + n. What is the lowest common multiple of w and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 33 + 2*q - 3 in the form z + y*q and give z.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 23 + 1 = 0. Suppose -4*a + s + p = 0, 4*s - 2*s = -3*a - 2. Suppose -3275 = -5*k + j, 2*k - 2*j - 2620 = -a*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 29*b + 143. What is r(32)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118965 and 3850?\nAnswer: 1189650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 682950 (b) -2 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.95 - -0.95. Let b be 292\/42 - 12\/42. Sort 0.1, f, -2, b in descending order.\nAnswer: b, 0.1, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28826759 is divided by 2059054?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k - 5. Let m be l(-1). Suppose 2942 = m*u + 2*w, u - w + 3*w - 734 = 0. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 9*y**2 - 5*y - 1. Suppose -4*l = -5*l + 4*k + 3, 0 = 2*l + 5*k - 6. What is the remainder when g(l) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnccccnn. What is prob of picking 1 n and 1 c?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 17. Differentiate m - 4*y**4 + 0 + 3 wrt y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26638 + 37763. Let x = q - 4130. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p - 18*p = 298 + 392 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*a**2 - 76*a + 76*a - 96*a**2 - 46*a**2.\nAnswer: -53*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*i = -387*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/4)\/(-5)*10. Suppose -25 = h*k + 35. Let a = -7 - k. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + 16. Suppose -4*b + k = 5*w - 2*b, 0 = w + 5*b - 19. Let g = -120 - -119. Do g and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 922429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcdyccffcyymmmcmmcm. What is prob of picking 1 m and 1 d?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 19. Let d be 108\/11 - 2\/(-11). Let a = d - w. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3555261, 7110539, 10665817, 14221095?\n\"Answer: 3555278*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627467?\nAnswer: 53, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -60404 and 48 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 31*q - 81 = 0. Suppose -q*x = -18028 + 3529. List the prime factors of x.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4}. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 17*p**2. Let j(k) = -15*k**2. Determine t(j(s)).\nAnswer: 3825*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 - (-18)\/4. Suppose -12*v + y*v = 2904. Let k = v + 511. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 2*d**2 + 2. Let k be n(2). Let g(o) be the second derivative of 0 + 0*o**k + 2*o - 1\/6*o**3. Let z(m) = -m. Give g(z(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -812, -1231, -1660, -2105, -2572?\n\"Answer: -q**3 + q**2 - 415*q - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-11)\/5)\/(10\/25). Let f = 9\/10 - d. Sort 2, f, -0.04, 4 in ascending order.\nAnswer: -0.04, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-12))\/((-7)\/(-42)). Let t be 10*(2 - (-20)\/(-8)). Sort t, b, -7, -3 in decreasing order.\nAnswer: b, -3, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 + 33*t - 168. Let f be v(-28). Suppose -31*y + 28*y = -f. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5362 take away 1599?\nAnswer: -6961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, l: 3, t: 1, p: 2, m: 4, e: 2}. Give prob of picking 1 e and 2 p.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 45. Let k be (30\/32)\/(z\/(-28)). Suppose g - 5*q = 5, 4*g + 3*q + 15 = -11. Which is the third biggest value? (a) 0.4 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89*y**3 + 6*y**2 - 8*y - 610200?\nAnswer: 267*y**2 + 12*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0142116162 from -201.\nAnswer: -201.0142116162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 17. What is the remainder when 2 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5571668491 minus 50068?\nAnswer: -50067.4428331509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3 + 15733*j**2 + 188688*j + 565956 = 0. Calculate j.\nAnswer: -15721, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 24 = h. Let b be 60\/(-9) + h\/(-9). Let p(q) = -q**2 - 8*q. Calculate p(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -20*f - 5*f + 3*f + 0*f + 10*f + 8. Let s(p) = -p + 1. Determine 40*s(g) - 5*t(g).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1249*b + 42259. Determine h(34).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 65. Let a(h) be the second derivative of h**3\/6 + 21*h + 11. Determine m(a(u)).\nAnswer: -u + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -598*j**2 + 8*j + 2. Let g(q) = -49035*q**2 + 660*q + 165. Give 2*g(w) - 165*h(w).\nAnswer: 600*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**4 - 7*r**3 + 3*r + 7. Let a(q) = -q**4 + 6*q**3 - 3*q - 6. Let p(l) = 7*a(l) + 6*m(l). Find the second derivative of p(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -4 - (-40)\/10. Let t be (-65)\/(-20) + (w - (5 + -1)). Factor t*k - 1\/4*k**3 + 1\/4*k**2 - 1\/4.\nAnswer: -(k - 1)**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -21*j - 38. What is the tens digit of p(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559*y + 548*y - 1112*y - 1 + 1.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 v when three letters picked without replacement from vvppv?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.11 (c) -200.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 - 65. What is the tens digit of y + 4 + 12\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m - 2. Let v be g(6). Let s = -80 - v. Let h = -11 - s. 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 remainder when 185 is divided by 182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + x - 1433 = 0, -4*x + 30 = 10. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2217?\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjt when three letters picked without replacement from jjttjt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i = -83 - 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**3\/3 + 540572*z**2\/3 + 12184758166*z + 1216674576600 = 0.\nAnswer: -135093, -100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1244 > -1232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5526 and 70?\nAnswer: 193410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10*(-3)\/(-9))\/((-4)\/6). Let w(d) = -d**3 + 5*d**2 + 7*d - 6. Let s be w(6). Let o(x) = 4*x + s + 1 + 3. Let l(a) = 7*a + 7. What is r*o(m) - 3*l(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 4*a - 4. Suppose 2*q = -2 + 4. Suppose 2*x + 7 = -q. Let r = 112 - 121. Let h(g) = 3*g**3 - 9*g + 9. What is r*n(j) + x*h(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*s + 2*s + 1 - 2*s as d + p*s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 10:54 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25726067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5409 and 142437.\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 28626.843 - 119.02\nAnswer: 28507.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5794894?\nAnswer: 2, 7, 83, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5 - 423*a**4 + 420*a**3 = 0?\nAnswer: 0, 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -38. Let u be (4 - 1*g)*(-220)\/(-275). Which is the smallest value? (a) -3 (b) 0.08 (c) u (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 831, 1957, 3083, 4209, 5335?\nAnswer: 6461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 13. Let u be c\/(-4)*(-5 - -25). Suppose 0 = 3*t - 5*t + u. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 1:18 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdbppvvivdbiibbdp. What is prob of sequence dpv?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 9 + 6. Suppose -3*z = -2*z + 4*v - 1302, -z + 1299 = j*v. Suppose -19710 = 3*r + z. Round r to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*t**3 - 13*t + 53*t**3 + 20*t.\nAnswer: t**3 + 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 45 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p + 15 = 0. List the prime factors of 4 - (-5)\/(p\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.5, -0.02, -4467\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -2237699?\nAnswer: 5\/2237699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + z + 2. Let x be s(2). Let j(t) = -2*t + 23. Let b be j(x). Suppose -739 = b*c - 8*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**3 + 87*b**2 + 78*b - 168 = 0.\nAnswer: -28, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 2*w**2 - 3*w + 4. Let k be q(3). Suppose -3*p = k*h, 5 = h + 2*h + p. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -54. Let m be j\/8 + (-129)\/(-4). Let u be m\/(-56)*(805\/(-2))\/5. Calculate the highest common factor of 184 and u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1132 less than or equal to -3219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472034598.\nAnswer: 2, 3, 7, 449, 25031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3805.504 meters?\nAnswer: 3805504000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 2\/5 (c) -1079 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045049 to the power of 1\/2, to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-12)*(-9)\/6. Let l be ((-16)\/(-48))\/(j\/36). Is 10 a factor of (l + (5 - (-6)\/(-3)))*-7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -1376?\nAnswer: -1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5*1\/(-5)*3\/2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00082013 rounded to five dps?\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4630.\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3305 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*o + 2*o + 28, -5*o - 4*d = -65. Suppose o*p - 45 = 450. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2483251\/6 smaller than -413876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -433*k + 431*k + 200. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -17*i + 0 + 7\/6*i**3 - 8*i**2. Find the first derivative of s(p) wrt p.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5014 = 611*t - 2547 - 48040 for t.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-1 + 0 + 3). Let z be (-3)\/5 + 126\/35. Suppose -2*t - 25 = 3*t, -z*v + t + 44 = x. Calculate the remainder when 38 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, 6, -54, -160, -324, -558, -874, -1284?\n\"Answer: -2*r**3 - 5*r**2 + 3*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 210.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*f + 12*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 5. Let q be l(3). Suppose -3*w = -t - 42, q*w - 7*w + 71 = -2*t. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three quarters of a decade?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10560 is divided by 1146?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -4\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221 - 17. Let p = s + -181. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8691\/2*i - 15\/2*i**2 - 1737.\nAnswer: -3*(i + 579)*(5*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14222400 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c - 7. Suppose c*p = 3*p. Determine b, given that 2\/11*b**2 - 2\/11*b + p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -196\/13 (c) -2.7 (d) 2\/23 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4 = 4*g, -3*i - 711 = -699 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 at most as big as 1098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220010 (base 3) in base 4?\nAnswer: -313233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/((-42)\/(-6)) + 0. Differentiate 6*u**c - 3*u**2 - 38*u**4 - 255 - 114 + 108 with respect to u.\nAnswer: -152*u**3 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/6 and -19\/2670.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-20)*-4*3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {l: 1, g: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209474 divided by -3434.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/312)\/((-1)\/(48\/(-20))).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 33 = p, 1026*p = 1024*p + 5*k - 63 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84 in -3, -1, 0, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + f - 1. Let k = 7 - 3. Suppose -9*s + 5*s - k = 0. Let o(l) = -4*l**2 - 4*l + 5. Determine s*o(i) - 6*d(i).\nAnswer: -2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*b + 25 = -7*b, 0 = -b - 4. Solve 5*v + w*n + 23 = 0, -10*v + 3*n - 13 = -6*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849641.4 days in minutes?\nAnswer: 1223483616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9598 - -9599. Put 0.0587, s, -4 in decreasing order.\nAnswer: s, 0.0587, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*d**6 - 4*d**3 - 2*d**2 + 288*d?\nAnswer: -1680*d**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 0)*(-15)\/10. Suppose 3*d = -9, v*y - d = 7 + 2. Suppose -y*a = -130 + 20. What are the prime factors of a?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1326 by -6.\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000029345567 to seven decimal places.\nAnswer: -0.0000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/4, -0.2, 2\/333, -101, 0.4 in ascending order.\nAnswer: -101, -0.2, 0, 2\/333, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212110 + -1?\nAnswer: -1212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3424879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -21352478.3 to the nearest one hundred thousand.\nAnswer: -21400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.311 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 1. Suppose 0 = 15*w - 131 + 11. Suppose 2*b = -5*n - w, -2*b + 5*n + 11 = -b. Calculate y(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(2\/11)*o)\/o*o*o)\/o**0)**(-1\/14) assuming o is positive.\nAnswer: o**(-5\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/12*(-382)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 - 3*m**2 - 3*m**2.\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001595212253 to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/24*(-3)\/(-12)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 929183 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -14*z + 2*z**2 - 1 - 12 - z**2 + 0. Let y be m(16). What is the tens digit of 0 + (2 - 1)*y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.11, -1, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5.409 - 1340.4\nAnswer: -1334.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2033560 - -8?\nAnswer: -2033552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.29799ms in seconds?\nAnswer: 0.08629799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 2*u - 80. What is the tens digit of y(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -14, -39, -118, -269?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22555911.83 rounded to the nearest one thousand?\nAnswer: 22556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -4*j - 21. Suppose 9 = 3*a + 3*b, 13 = 2*a - 5*b - 14. Let q = -135 - -140. Solve -j = p + 2*x - a*x, -x = -q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 362274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from tistshsatsxss.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -970*p - 37017 = 401*p for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {m: 1, l: 1, h: 5, o: 1, a: 1, t: 5}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 288 + -299 + (31 - (1 - -1 - 0))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610133 to the power of 1\/2, to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 1:18 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = -6. Suppose i*v - 2*m = 4, 3*m - 8 = -5*v + 10. Let o be 1 + v*(-55 + -2). Round o to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206496 divided by -72\nAnswer: 2868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038662 less than 571533?\nAnswer: 571532.961338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8969 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 42*q**2 + 438*q - 104. Calculate c(19).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 1, 0.03, -2845.\nAnswer: -2845, -3\/4, 0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1 (c) 67 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06979 rounded to three decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaa. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 2. Let r = 28 - x. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 886*q**4 + 191 with respect to q.\nAnswer: 3544*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1738 and 20790.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -249, -217, -185, -153, -121?\n\"Answer: 32*w - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38174646 - -142390428. Let j = b - 171115782. What is j rounded to the nearest 1000000?\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-15)*(z\/z**(4\/21))\/z)\/(z**(-11\/3)*z**(-35)))**(-43) assuming z is positive.\nAnswer: z**(-21199\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + 2. Let l(q) = q**2 + 7*q + 5. Let a(s) = -6*l(s) + 15*u(s). Find the second derivative of a(n) wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22381*f**2 - 22381*f**2 + 26*f**3.\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -1)*(18 - 17). Suppose -f + 0 = 3*z - 6, 4*f - a*z = 24. Solve -6*q - f = -9*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -3, 4, 61 in decreasing order.\nAnswer: 61, 4, -0.09, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, -1\/109, 0.5 in descending order.\nAnswer: 0.5, 0, -1\/109, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 1.26. Let k = -0.0294 - 8.0106. Let m = l + k. Round m to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onoujuqnnunn. Give prob of sequence ono.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 25 = 1. Suppose 0 = -5*q - u - 8. Let f(y) = y**3 + 4*y**2 - 2*y. Let d(a) = a + 1. Let v(m) = 2*d(m) + f(m). What is v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*m + 2*i, 2*m - 16 = -i + 5*i. Suppose m = -b - 5 + 20. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-150)\/(-105))\/((-2)\/(-14)). Solve 3*p - l = -2*j, 4*j + 2*p - 7*p - 20 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4832, -4816, -4776, -4700, -4576, -4392, -4136, -3796?\nAnswer: -3360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 32537 = -4094. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -4*o + 21. Let w be 5\/(5\/2)*7\/o. Let q be (25 + -26)*1*20\/w. What is the highest common divisor of q and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1500031 (base 6) to base 9.\nAnswer: -140321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -22377 (b) -120 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (96\/(-9))\/4*-3. Solve y - 1 = -4*g - t, -y = 3*g + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5288 and 310511360.\nAnswer: 5288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 12*c**2 - 18*c + 6. Let z be y(-10). Which is bigger: -10 or z?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, b: 1, u: 12, w: 1, i: 1}. What is prob of picking 1 u, 1 b, 1 h, and 1 i?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*t - 35*t - 49818 = 0. Calculate the lowest common multiple of 2 and t.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 - 99*c + 4. Let w(a) = 4*a**2 + 149*a - 6. Calculate 5*w(q) + 8*y(q).\nAnswer: -4*q**2 - 47*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Let x(r) = -2*r + 39905. Give b(x(l)).\nAnswer: 2*l - 39905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 2)*(5 + 2*h**3 - 4*h**3 - h**2 - 3).\nAnswer: -8*h**3 - 4*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2 (b) 9 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/836 and 47\/10830.\nAnswer: 238260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - 5.03. Suppose 109 = -y + 6*d - 2*d, -336 = 4*y + 4*d. Let s = -443\/5 - y. Which is the third smallest value? (a) r (b) s (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -140*p**4 - 3012*p**3 + 5348*p**2 + 13188*p + 4968 = 0.\nAnswer: -23, -1, -18\/35, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*b + 8 = 0, 2*q + 4*b + 1 = 5. Suppose -3*h - q*n = 0, 6*h - 5*n = 2*h + 23. Suppose -1 = h*c - 45. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 1945 + 5684 - 1831 - 1852.\nAnswer: -3*w + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 34*d**2 - 47*d - 189. Let r(m) = m**3 - 31*m**2 - 48*m - 190. Let u(z) = 4*r(z) - 5*y(z). Calculate u(47).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 14 - 6 = 0. Let n = 1292.91 - 1396.9. Let c = 104 + n. What is the second biggest value in -1\/7, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*(b*b*b*b**(1\/2))\/b)\/b*b)**13\/((b*b\/((b\/((b*b**(-5))\/b)*b*b*b)\/b))\/b*b**10))**(18\/7) assuming b is positive.\nAnswer: b**(999\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/(289\/(-5780))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 17*f - 6 = 0. Suppose -3*h + 3 = -b, f*h = 3*h + b - 1. Which is greater: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p. Let c(x) = -2*x. Calculate c(n(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j - 3. Let f(q) = 15*q + 15. Let x(o) = f(o) - 4*h(o). Give x(33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 26*l**2 - 12*l + 53*l**2 + 24 - 87*l**2 + l**3. Determine h(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = 48. Let l = s + -9. Solve -l*o + 0*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -151 + 153. Solve -6*t - 9 + 2*t - 37*t**5 + 30*t**r - 117*t**4 + 37*t + 10*t**5 - 102*t**3 = 0.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27202633 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4802263295 to the power of 1\/4, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.46 + -6.26. What is the third smallest value in -1\/13, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 818.9.\nAnswer: 819.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**7\/168 - z**3\/3 - 15*z**2. Let k(u) be the first derivative of a(u). Find x such that k(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8321269 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + 2*c**2)*(85517*c - 4 + 377 - 85518*c) - c**3 + 4*c**3 + 0*c**3.\nAnswer: c**3 + 746*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -404321 and 9.\nAnswer: -404312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 50 = -4*p, -4*p - 47 = 4*o - 147. Suppose 2*f - 24 = 2*b, -770*f + 3*b + 24 = -773*f. Calculate the greatest common divisor of o and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1197645 divided by -399.\nAnswer: -399215\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47936 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*i + 26*i + 5198 = 89*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2938 - -1830. Which is bigger: -7748\/7 or h?\nAnswer: -7748\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p + p**2)*(2*p + p - 2*p) - 6*p**3 + 3*p**3 + 0*p**3 + 9*p**3 + 37*p**2 - 37*p**2 + 2*p**3 + 0*p + 0*p + (-1 + 1 - 2*p**3)*(2 - 2 + 2).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -51606, -3 in descending order.\nAnswer: -3, -4, -51606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 11*i**2 - 6*i + 73. Let z be g(-12). Is z greater than or equal to -3\/883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.685852309 to four decimal places.\nAnswer: -20.6859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aszmhzizmhzmaahszmaa. What is prob of picking 2 h?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2. Let d = 2208 + -2205. Let u(p) be the second derivative of 0*p**2 + 0 + 8*p + 0*p**d + 1\/6*p**4. What is l(u(f))?\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.20375 - -0.2. Round z to four decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 9\/(-6)*8\/6. Let t be (-26 - 8) + (-3)\/((-6)\/l). Is t less than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-seven quarters of a millisecond?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/1*(-268)\/(-8). Let d = -3 + x. Suppose -d = 2*l - 4*l. What is the highest common divisor of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xccccccc. What is prob of sequence cxcc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*o - 27203 = 0, 96*c - 4*o = 97*c - 6827. List the prime factors of c.\nAnswer: 3, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 31602*d\/5 - 34022376\/5.\nAnswer: -(d - 30486)*(d - 1116)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 69 = 5*l - 37, 5*l + 38 = 3*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 66, 75, 66, 33, -30, -129, -270?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 247 + -247.1. What is the second smallest value in 4, 0.21, 1\/3, j?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42 + -2 - 6\/(-3). Let p(n) = c*n - 42*n - 4*n**2. Let u(i) be the third derivative of -i**5\/60 + 2*i**2. Determine p(u(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-5)\/((-25)\/(-2140)). Let f = -14909\/35 + c. Which is greater: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-5 - -3))\/5. Suppose v*b = -5*b. Solve -m - 2*s + 9 - 2 = 0, 5*m + 4*s - 29 = b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.29, 0.4, 2\/15, 0.127 in descending order.\nAnswer: 0.4, 2\/15, 0.127, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*w**6 + 2*w**2 - 3*w?\nAnswer: 1680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 36*k**3 + 323*k**2 - 2*k + 52. Calculate o(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 23 = 3*j, -5*j + 38 - 9 = -3*k. What is the second smallest value in 5\/2, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11933029.\nAnswer: 79, 151051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 - -32) + (7 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 0*s**2 - 7*s**2)*(13*s**2 + 1 - 11*s**2 - 12*s**2).\nAnswer: 80*s**4 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 16*b**2 - 11*b - 12. Does 25 divide h(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.0605075 days?\nAnswer: 87.1308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x**4 + 2*x**2 + 1\/140*x**7 - 27\/4*x**3 + 9\/20*x**5 + 0 - 1\/10*x**6 + 0*x. Factor k(s).\nAnswer: 3*(s - 3)**3*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552306 is divided by 184082?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 16515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 12 = 10. Suppose v*q - 54 = 18. Calculate the highest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Let p = w - -1. Let m be ((-47)\/3 - p)*4560. Round m to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4)*m**7)\/((m*m*m**(-7))\/m**(-4)))\/(m**(2\/15)\/(m**(-4)*m))**(-1\/27) assuming m is positive.\nAnswer: m**(1667\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 2.77. Let o = -7.99 + f. Let h = o + 0.12. What is the third biggest value in 0, -0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*z - 16 = -z, -4*z - 1 = -n. Let a = n + 3. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/40*80\/(-60)*546\/(-1316) and 41\/517.\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 1\/5*l**2 + 21780 - 132*l = 0.\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 22 = -4*a. What is the smallest common multiple of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) -2.8 (c) 2\/11 (d) 24\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 14.8. Sort -6\/7, v, -0.3 in ascending order.\nAnswer: -6\/7, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 96.23958 hours?\nAnswer: 346462.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(567))**2*1 + 5 + sqrt(7) + sqrt(42)\/sqrt(6) + sqrt(7) + sqrt(28)*-6.\nAnswer: -2830 - 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - 52. Solve -13*p - t = -6*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -2\/11 (c) -6 (d) -4\/27 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 2 + (6 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 12. Suppose t*i + 48 = z, 3*i = -4*z + 60 + 77. Does 4 divide z*(2 - (-12)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -5*n + 28, 2*p - n + 2 = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -3\/4*g**4 + 1\/20*g**5 - 4*g**2 - 3*g + 3\/2*g**3 - 4. Calculate m(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -368, -227, 418, 1573, 3244, 5437?\n\"Answer: x**3 + 246*x**2 - 604*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 155*b**3 - 20*b**2 - 20*b - 20. Let g(n) = 3*n**3 - 3*n**2 - 4*n**3 + 4*n**3 + 18*n**3 + n**3 - 3 - 3*n. What is 20*g(y) - 3*r(y)?\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.1, 4\/131, 1\/4, -2\/11, 42?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -2*l, 2*l + v = -4*v - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012100002 + -120?\nAnswer: 10012022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.0902582 to 2 decimal places.\nAnswer: -3.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 511230 and 60360?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 3*w**2 + 2. Let y be l(3). Suppose -y*b - 2*b = -108. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -21, -40 in descending order.\nAnswer: -9, -21, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*x**3 + (5*x - 4*x - 2*x)*(4*x - 4*x - 2*x**2) + 2*x**3 - 4*x**3 + 4*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.114 times -0.3?\nAnswer: -0.0342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = z - 6, 0 = z - 4*f - 25 + 19. Suppose 3*w - 108 = -4*r, 0 = 2*r + w + 2*w - 48. Calculate the least common multiple of z and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u**3 - 6*u**3 - 4*u**3 + (3*u**2 - 3*u**2 - u**2)*(2*u + u - u).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 2*y - 15 = 0, 2*k = 2*y + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = 0, 10*d + 10 = 13*d - 2*i. Suppose -b - h + 303 = d, 5*b - 1512 = h - 5*h. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50522434 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5 = -3*t. Suppose 0 = -5*d + 4*s + 10, 5*s - 11 = 3*d - 4. Suppose -5*z + 4*z + d = 0. What is the lowest common multiple of t and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7*n + 392 = 0. Differentiate -n*v - 1 - 22 - 56 - 218*v + 52*v with respect to v.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16322260102 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*(sqrt(209) + 2*sqrt(209) + sqrt(209) + sqrt(209) - sqrt(209)) - sqrt(209)))\/(6*-6*sqrt(11)*2).\nAnswer: sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 = f, -3*a + 4*f + 25 = 6*f. Let r be -3*1\/15*-25. Let o = 2 + 16. Solve 0 = -r*y + 4*c + 7, -4*y = -y + a*c + o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12020 - 3?\nAnswer: 12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(3) - (sqrt(18)*-2)\/sqrt(6) - 5*1*sqrt(3)) + (-3*(2 + sqrt(3)) - (2*sqrt(18))\/sqrt(6)))**2.\nAnswer: 42*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 + 13*y**2 + 7*y**2 + 173606910*y - 173606910*y.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 4*w**2 - w + 2. Let l be k(4). Let b = l - 9. Let q = -3 - b. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z**2 + (-z + 0*z + 3*z)*(5*z + 0*z - 2*z))*(11*z - 8*z + 23*z + (-1 - 2*z + 1)*((2 - 4 + 5)*(2 + 0 - 3) - 4 + 3 + 3)).\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 + -19.1. Let k = 21.074 - 4.064. Let m = k + a. What is the third smallest value in 4, m, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 8*j + 5. Let w be h(8). Suppose g - 24 = -w. What is the remainder when g is divided by (9\/6)\/((-6)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169\/1155 - -1\/77. Suppose 3*z = -2*q + 144 - 403, 2*z = 2*q - 166. Let w = z - -337\/4. Which is the closest to -1? (a) o (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382666 divided by -191333?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.3 + 8.5. Let b = x + -5.19999919. What is b rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - 3*r**3 - 2*r**3)*(-27 + 6*r + 27) - 3*r**4 + r**4 + 5*r**4.\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-20))\/((-3)\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*g - 25*f**3 - f**2*g + 44*f**2 + f - 7093*g wrt f.\nAnswer: 6*f*g - 150*f - 2*g + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11324 + 1927 = 3*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -5*b + 10, -8 = 37*b - 41*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 499 and 108?\nAnswer: 53892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.68083t to kilograms.\nAnswer: 79680.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 11918 = 2*z, -4*z + 1059 + 16819 = 3*j. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2236, -4441, -6656, -8887, -11140?\n\"Answer: -q**3 + q**2 - 2201*q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11386, -11380, -11374, -11368, -11362?\nAnswer: -11356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 433 - 1007. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131424 - 503212?\nAnswer: -1035040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.6 (b) 6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*k - 42 = -2*t + 373*k, -3*t - k + 57 = 0. Let o be 1\/((10\/(-36))\/(-5)). What is the highest common factor of o and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 8*t**3 - 5452898*t**2\/3 + 309730400104*t\/3 - 25810828808\/3 = 0.\nAnswer: 1\/12, 113602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191768649.\nAnswer: 1191768649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5253 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 47*i - 204. Let s be l(4). Let g = 5 - 1. Suppose 5*z - 413 = -n + 202, s = -g*z - 3*n + 492. 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 the next term in -48, -91, -134, -177, -220?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 33. What is d(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**7\/294 - 2*w**6\/35 - 37*w**5\/70 + 55*w**4\/7 + 3025*w**3\/42 - 2853*w - 2. Suppose y(a) = 0. What is a?\nAnswer: -5, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7936, -15568, -22898, -29926, -36652?\n\"Answer: 151*g**2 - 8085*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8314998*s = 8313627*s - 76776 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180 is divided by 204?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*a**2 + 166*a**2 - 15 - 495*a**2 - 21 - 10 + 168*a**2.\nAnswer: 6*a**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -9547, -0.2, 4\/9, 6\/13?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -633193, -3.\nAnswer: -633193, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**12\/u))\/(u*u**(-2\/25)))\/(u\/(u*u**(-1\/4)\/u))**(-21\/2) assuming u is positive.\nAnswer: u**(641\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 2570 - 949 = 0. Suppose 7*i = 6*i + 18. What is the greatest common divisor of g and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2511*s**5 + 9992*s - 9992*s + (0*s**4 + 3*s**4 - 2*s**4)*(2*s - 3*s - s) - 3*s**5 - 3*s**5 + 4*s**5.\nAnswer: 2507*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 608?\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -7*s**4\/24 - s**3\/3 - 4*s**2. Let i = 143 + -144. Let n be a(i). Solve -f - 5 = 5*z, -n*z = f - 2*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32631194 divided by -4?\nAnswer: -16315597\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3162 * -0.2\nAnswer: -0.06324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 8) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -34, -29, -24?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*u**5 + 8*u**4 + 18*u**3 + 493*u**2 + 2*u?\nAnswer: 300*u**2 + 192*u + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9 - 77 = 0. Calculate the highest common divisor of r and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*f - 3100 = -714 + 2493 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-108) - (25 - (-87)\/81)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2021302.\nAnswer: 2, 821, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157904, -157891, -157870, -157841, -157804, -157759?\nAnswer: -157706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/5)\/((-1)\/10). Let b = -10 - y. Factor 0 - 4\/7*z**2 + 0*z - 16\/7*z**4 + b*z**3 + 6\/7*z**5.\nAnswer: 2*z**2*(z - 1)**2*(3*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9713198.\nAnswer: 2, 11, 251, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3046, 6093, 9140, 12187, 15234?\n\"Answer: 3047*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -293 + 13. Suppose -5*q + 4 = 5*n - 21, q = -5*n + 45. Let s be n\/5 - 123\/6*-4. What is the greatest common factor of s and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3878562 divided by 1939281?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 150200 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5008 + 245365\/49. Find the common denominator of 19\/14 and p.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w - 5. Let p be (-13)\/(-21) - w\/(-15). Let u = -5.89 - -5.95. Which is the fourth biggest value? (a) -4 (b) 0 (c) u (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.32 - -0.02. Let g = -5.2 - -0.2. Let x = -925 + 1851\/2. Put j, 3\/2, x, g in increasing order.\nAnswer: g, j, x, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 5*u**2 + u + 5. Let k be o(-5). Solve k = -2*q - 2*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 5. Suppose 6*z - 4*z = 8. Calculate r(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjjv. What is prob of picking 2 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, -4, -12 in descending order.\nAnswer: -4, -5, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*w = 5*y, -3*y + 16 = -4*w. Solve -12 = y*u + 3*l, 3*u - 3*l + 5*l = -9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwrrrrwwrrrwrrrw. What is prob of sequence www?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from duuuuuddx?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 34591*w + 1196537281\/2.\nAnswer: (w + 34591)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 0.2.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 201*r + 198.\nAnswer: 3*(r - 66)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2430 or -189851?\nAnswer: -189851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05054 and -645.\nAnswer: -32.5983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + 183?\nAnswer: 16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18 - 0\/(3\/1). Suppose -4*u + 4*i = 2*i + z, u + 8 = 4*i. Let q(r) = 2*r + 4. Let s be q(u). Sort s, -5, 1\/4 in increasing order.\nAnswer: -5, s, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -7*a**2\/2 - 52*a - 363. Calculate v(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 8*f**2 - 3*f - 5 + 1\/12*f**4 - 8\/3*f**3. What is v(14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*o - 528*o = -1708*o - 1206*o - 169065 for o.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52167593 is divided by 4074?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*d + 48*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzh when three letters picked without replacement from {u: 1, h: 9, z: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -294580729*p + 209178. Let i(q) = -46473*q + 33. Give -11*d(a) + 69726*i(a).\nAnswer: 11621*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p**2 + 3*p + 3. Let r(a) = -10*a**2 + 2*a + 2. Let t(j) = -6*r(j) + 4*v(j). Let s(d) = 3*d**2. Give s(t(k)).\nAnswer: 1728*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 881 divide 28419657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o + 46*o - 15*o - 11*o - 9 - 9*o.\nAnswer: -7*o - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9551 + -9544. Solve -5*k - 5*m = -30, -2*m = 25*k - 24*k - w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 9. Let i(r) = 7*r - 35. Let a be i(c). Suppose -9*z + 59 + 13 = a. What is the lowest common multiple of 24 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222897 is divided by 110113?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 3280*s**2 + 295855*s + 1236220.\nAnswer: 5*(s - 547)*(s - 113)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h + 24405 = 85778. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*l*q**4*r - 4062*l*q**3*r - 3*l*q*r - 860*l*r + 347*q**4 - 18288*q**2 wrt q.\nAnswer: 192*l*q*r - 24372*l*r + 8328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 2*p + 3*p)*(-4746 - 121*p + 4746) to k + f*p + m*p**2 and give m.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1020 + -5?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*g + 688 = 345 + 329, -3*z - 19 = -2*g + 26*g + 44 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 51*b**2 - 47*b - 112. What is the least common multiple of l(52) and 36?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9*b**3 + 31*b**2 - 9*b - 9. Let q(l) = l**3 - l - 1. Let d(c) = c**3 + 8*c**2 + 7*c - 1. Let i be d(-7). Let k(h) = i*r(h) + 5*q(h). Factor k(p).\nAnswer: (p - 2)*(2*p - 1)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1960 and 14840.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(42)\/sqrt(3))\/sqrt(2))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13642 is divided by 427.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1 + 5 + 22*w**2 - 1. Suppose 0 = -2*m - 5*i + 11, 4*m + 3*i = 5*i - 14. Is j(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 2*j + 34, 0 = -3*j + 12. Solve 5*k + q = -3*h, k - h + 10 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -325969 to the nearest 1000.\nAnswer: -326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113008, 444072, 995850, 1768348, 2761572, 3975528, 5410222?\nAnswer: 7065660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + 19 + -4 - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 = -5*k. Let v(f) = 62*f**2 + f - 1. Let d be v(k). Suppose p - 3*p = -d. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + (-6)\/(-3))*162\/378. Solve -n + 3 = -6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -30.56, -0.032, -0.3, -70\/9?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j = -26*j - 12, -5*t - 3*j + 25 = 2*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*14\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1921 - -2206. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014127374481 to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwwwwwmrwwrwwwmwwmm. What is prob of picking 2 m and 1 r?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-24)\/9 - -3). What is the third derivative of -22*b**3 + 44*b**3 + d*b**2 - 20*b**3 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2046 - 2024. Calculate the remainder when 62 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12a (base 16) to base 9\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.7 and 9798518.\nAnswer: -46053034.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -101*f**2 + 3*f - 41. Let v(j) = 34*j**2 - j + 15. What is 4*u(q) + 11*v(q)?\nAnswer: -30*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19723280 by 1232705.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3.0043072+-2\nAnswer: -5.0043072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12372 and 17418745.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145112 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 57 = -13. Calculate the highest common factor of d and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + f**3 + 29 - 5*f**3 + 0*f**3 + 12*f**3.\nAnswer: 8*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00633556 to five decimal places.\nAnswer: -0.00634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m**3 + 9*m + 5*m - 11*m - 5*m**2 + 0*m + 5. Let g(v) = -v - 1 + 0*v**3 + 2*v**3 + v**2 - 3*v**3. What is -5*g(k) - l(k)?\nAnswer: -k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.63 to zero decimal places.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 528 = 4*k - 0*k, -4*k - 4*h = -488. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1705 + -1705. Let o be (-4)\/6*(-3)\/14. What is the nearest to -2\/7 in k, -2\/3, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-64)*4*(-2)\/1. Let m = 0.3 + -0.2. Let l = 0.041 - 5.041. Which is the closest to m? (a) j (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 351?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22286*h**2 + 5*h - 303 wrt h?\nAnswer: 44572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:56 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 8:30 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (508\/6)\/(12\/54) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180352?\nAnswer: 2, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2633 divide 1466013668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + -41. What is the second smallest value in -0.5, f, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 10:34 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-20)\/(-25))\/1)\/(2\/4570)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/21 and 47\/653880?\nAnswer: 4577160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 824 = 626 for q.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 2871.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 + 23 = 2*z, z + 5*t - 28 = 0. Let n be 9\/(351\/(-6)) - (-158)\/z. Suppose f - n = 3*x, 2*f - 4 = 4*f + x. Solve s + f = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 1, q: 1, t: 1, b: 2, g: 2}. Give prob of picking 1 t and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1bc7 (base 14) to base 3\nAnswer: -20221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 10*r = b - 17, -r - 14 = -0*b + 4*b - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**3 - 3*o**2\/2 - 3*o + 20. Let p(l) = 3*l + 22. Let x be p(-6). Let v(w) = -3*w**2 - 4*w - 4. Give x*y(u) - 3*v(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/(s\/s**(1\/2)*s))**(1\/42) assuming s is positive.\nAnswer: s**(-5\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = -y, 5*y - 3*u - 21 = 2*y. Let f = 8 + -4. Suppose 0*q = -2*q + f. Calculate the remainder when y is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293823 less than 0?\nAnswer: -1293823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**4 - 8*f**3\/3 + 38. Find the third derivative of o(a) wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54840 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p - 6. Let o(y) = -6*y + 3. Let d(w) = 4*k(w) + 7*o(w). What is the derivative of d(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001 + -110101011?\nAnswer: -101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 89. Let p(f) = -2. Give 6*p(x) + w(x).\nAnswer: x + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9386 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1661 = -3*y + b, 4*y - 2*b + 1673 = 7*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -472, -842, -1306, -1870, -2540, -3322?\nAnswer: -4222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -475, -950, -1425, -1900, -2375?\n\"Answer: -475*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51266662.\nAnswer: 2, 17, 167, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.221376 seconds in hours?\nAnswer: 0.01172816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -77, -2 in decreasing order.\nAnswer: 4, -2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 2*l + 1. Let x be y(1). Let n be 0 + 0 - (x + -2). Find k, given that -46\/7*k**4 - n*k**5 - 54\/7*k**3 - 4\/7*k + 0 - 26\/7*k**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.75065796 to 4 dps.\nAnswer: -1.7507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvxjjjgvwxvxj. What is prob of sequence wxj?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 789, 3156, 7101, 12624?\n\"Answer: 789*y**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-three quarters of a meter in centimeters?\nAnswer: 2325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40.5 - 40. Let z = -3 - -1. What is the nearest to z in 5, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:09 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -n - n. Suppose -6*h - 22 = -166. Factor -6 + 8*m**2 - 2*m**3 - 5*m - h*m - n*m**2 + 15*m.\nAnswer: -2*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50120 divided by -1790?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 4365?\nAnswer: 26190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -6b7?\nAnswer: 6b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-5 + 13 + -1)) + 2 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apiyiryrriy. Give prob of sequence ayi.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/41 in 2\/3, -1\/4, -17, -1, -4\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 28 = 3*k. Solve k*c = 4*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*1*-3 + -5 + -3 + (-6*(sqrt(98) + -2) + sqrt(98) + -5 + 1*sqrt(98) + 4)**2.\nAnswer: -637*sqrt(2) + 1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2132)\/(-260))\/(58\/(-290))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8*b**(-5))**(-8\/5))**(-9) assuming b is positive.\nAnswer: b**(216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11833 + -2.11833. Which is the second smallest value? (a) u (b) 1708 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5093423351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 6*x + 10. Let t be w(7). What is the derivative of -20 + 24 - 2*d**3 - t*d**3 wrt d?\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5047, -10080, -15109, -20134, -25155, -30172, -35185?\nAnswer: -40194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/14 + (-2198840)\/(-490)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 44 - 1 + 20*a - 43.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -72599 divided by 3965?\nAnswer: -72599\/3965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 147, 146, 145, 144, 143?\n\"Answer: -f + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13161, -26318, -39457, -52572, -65657?\nAnswer: -78706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (-1*sqrt(176)*3 - sqrt(176)) - (sqrt(176) + (sqrt(176) + -1 - sqrt(176)) + sqrt(176))*-6 - (sqrt(1584)*-1*3 + 2))*-5 + 4)**2.\nAnswer: -45760*sqrt(11) + 2976336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nftnenq. What is prob of sequence fftq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*5)\/((-180)\/24 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 14*o - 30. Let d(u) = 62*u + 2369. Let l be d(-38). What is r(l)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -75*x + 27556 - 723*x + 513*x**3 - 27552*x**2 + 151*x**3 + 134*x - 4*x**4 = 0.\nAnswer: -1, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 8 = 6*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-175114 + 175114 + 393*s)*(6 - 5 + 0 + (1 - 1 - 2)*(3 + 0 - 1)).\nAnswer: -1179*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482722, 482737, 482750, 482755, 482746?\nAnswer: 482717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - j**2 - 4*j + 3. Let v be f(0). Solve -s = -4*s + 5*r - 17, v*r = -s - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 * 58\nAnswer: 2436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120 - -115) + -21 + 37 + (1 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 291?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n**2 - 2*n**4 - 13*n**2 - 2 + 3*n - 3*n**2 + 4*n**2 + 39*n**3 in the form v + q*n**3 + d*n**4 + c*n + j*n**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 0 + 5 - 0. Let u = 5 - c. Suppose 0 = u*n + 3*n - 75. Solve p = 4*p + n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 3:02 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -8. Let y(r) = 4*r**2 + r - 6. Let u(d) = d**2 - 6*d - 1. Let b(n) = -n. Let w(j) = -6*b(j) + u(j). Calculate m*w(o) - y(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1402050281 to six dps.\nAnswer: 0.140205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5 - 2*c**4 + 12822*c**3 + 3547972*c**2 wrt c?\nAnswer: 120*c**2 - 48*c + 76932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 772918802 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.861034 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 9*b**2 - 9*b + 20. Calculate n(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3488917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 38759\/7640?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27812.439 and 0.05?\nAnswer: 27812.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d. Let v(i) be the third derivative of -i**5\/15 - 60*i**2. Determine h(v(f)).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60, -98, -122, -132, -128?\n\"Answer: 7*n**2 - 59*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1 + 1)\/(-1))\/2. Let g(z) = 0*z + w*z + 2*z**2. Let r(f) be the first derivative of -3*f**2\/2 - 5. Determine r(g(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2703, 2716, 2705, 2658, 2563, 2408, 2181?\nAnswer: 1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 6*h - 12 = 0, 2*n + 4*h = 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t**3 - t**3 - t**3 + (-2*t**3 - t**3 + 0*t**3)*(1 + 5 - 4) to the form i*t**3 + x*t + v*t**2 + j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, z: 16}. Give prob of sequence uzuz.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0400004035 rounded to five decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2666197*j**5 + 26868633*j?\nAnswer: 53323940*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4150361767?\nAnswer: 19, 29, 396443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71823 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21854*i**3 + 112*i**2*t - 7823*i*t - 287 wrt i?\nAnswer: 131124*i + 224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000697 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8 = 2*k, -2060*w - 53 = -2065*w - 3*k. Solve u + 2*o = 3*u - w, 6*u - 27 = 3*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-300)*8)\/(26\/(-65))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-8) - -4 - (-3)\/2. Suppose -4*w + 3011 + 705 = s*f, -w - 2*f + 925 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137 + -54 + 30 + -69\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11436 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 40, 86, 172, 310, 512, 790, 1156?\nAnswer: 1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*k + 948 = 100, 3*i = 5*k + 505. Calculate the highest common factor of i and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 1974 - (12 + 48\/8)?\nAnswer: 23472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -2 - (2 - 4). Let s be 8 + (-3 - (t + 1)). Let i be (-6)\/(1 - (s - 3)). Is i at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 3847*f**6\/3 - 3769*f**2\/2 + f + 6860. Find the second derivative of q(i) wrt i.\nAnswer: 153880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 + 11*l + 2. Let f(y) = -y**2 + 8*y + 5 + 7*y**2 + 13*y + 6*y**2 - 3*y**2. What is 2*f(s) - 5*n(s)?\nAnswer: -2*s**2 - 13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 0 + 3\/2*l**4 + 135*l**3 + 264*l**2 + 0*l = 0?\nAnswer: -88, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 19*y - 14. Does 18 divide x(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4\/p*p*p\/p**19*p assuming p is positive.\nAnswer: p**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moo when three letters picked without replacement from mmoom.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1362962*j**5 - 11*j**4 + 318*j + 39187 wrt j?\nAnswer: -27259240*j**3 - 132*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -6 (c) -2\/39 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31347163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16756 and 4956?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8377332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*f - 15, -2*h - 3*f - 2*f = 12. Sort -2, -4, h in increasing order.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 5\/6, -2, 6, -4\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-69))\/((8*(-2)\/48)\/(6\/36)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.665 - 3.82. Let c = g - -1.065. Is c > -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 5*q + 2*q)*(1 - 5 + 0) + 5 - 7*q - 5.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, -2, -76, -180, -314, -478?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9 - 265835.\nAnswer: -265836.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2268 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000026646 rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 201. Let w(j) = -j**2 + 5*j. Let a(k) = -6*k. Let r(d) = 3*a(d) + 2*w(d). Let p(i) = -3*i**2 - 10*i. Let x(n) = 4*p(n) - 5*r(n). Give x(y(m)).\nAnswer: -2*m**2 - 804*m - 80802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-901)\/4505)\/((-22)\/(-20)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1383112 and 7\/44.\nAnswer: 15214232","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 1. Let g(w) = 8*w**2 - 2*w - 10. Suppose f + 2*l + 10 = -3*l, -3*f - 2*l = -22. Suppose 0 = -9*c - 2 + 11. Give c*g(y) + f*r(y).\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 4, 2, -15914\/5, 4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, -2, -2, -4, -8, -14?\n\"Answer: -r**2 + 5*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/52 and -71\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12106972 to the nearest integer?\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06185631 to four dps.\nAnswer: 0.0619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, m: 4}. Give prob of picking 2 m.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27566, 27631, 27696, 27761, 27826, 27891?\nAnswer: 27956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 87e + 5?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (594*p + 402*p - 244*p)*(8*p + 2 - 2)*(0*p + 2*p - 3*p) to m*p**2 + s*p**3 + q*p + f and give s.\nAnswer: -6016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (649\/(-22))\/(1*(-1)\/3118). Suppose -3*i = -i + 4*q - 36810, 5*i - q - b = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2344*u**4 + 15300*u**3 + 19168*u**2 + 6372*u + 160 = 0.\nAnswer: -5, -1, -1\/2, -8\/293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 777 divided by -3941.\nAnswer: -111\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 9 = -10*g. Solve -5*m = -5*j - 5, 2*m - g*m - 5 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 183 - 31. Calculate the least common multiple of 6 and a.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1116\/20*(-6)\/(-6) - (-6)\/5. Solve 116 - 401 = -l*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 16 = q. Let z(y) = 3*y - 14. Let t be z(q). Suppose -36*p + t*p = 0. Which is the closest to -2? (a) 2\/15 (b) 0.07 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuyukkyykmyyky. What is prob of sequence uuum?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -108 + (96 - (12 - -34))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3 - 195612*l**2 - 4304553*l - 23677038 = 0. What is l?\nAnswer: -11, 65226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.8 and 0.4411.\nAnswer: 2.2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.3 + 19.3. Let z = -0.07 + 0.97. Let v = z - 5.9. Which is the smallest value? (a) v (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/288*-24)\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.086, -51, 0.3 in decreasing order.\nAnswer: 1, 0.3, 0.086, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3*k + 25, -48*h - 15534950 + 15534874 = 4*k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h + 77. Calculate the remainder when q(40) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 898 divide 20345444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 123, 434, 741, 1044, 1343, 1638, 1929?\n\"Answer: -2*i**2 + 317*i - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8840 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -240*h**3 - 2*h**2 - 271. Let p(f) = -961*f**3 - 9*f**2 - 1084. Let i(r) = -2*p(r) + 9*w(r). What is the derivative of i(l) wrt l?\nAnswer: -714*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369 + 685 + 748 = -76*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 47*w**2 + 4*w. Let f = 99 + -100. What is the tens digit of n(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**3 - 1. Let f be s(-1). Suppose -2*q = r - 14, -5*q - f*r + 36 = -0*r. Suppose 45 = 3*l + q. What is the highest common factor of l and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(68)*3)\/sqrt(4))**2 + -5.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + (-1749)\/(-33) - (-79)\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 26 = 5*l + 17, 5 = -l for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffexxefexfeeee. Give prob of picking 3 e.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10153*d - 18327*d - 3125*d + 4330*d to t + h*d and give h.\nAnswer: -27275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -550 + 501. Let n = v - -503. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 + 173 = 2*v. Calculate the highest common divisor of v and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 2*i**2 + i. Calculate v(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 8:42 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 28*m**2 + 83*m - 2310. Calculate i(28).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14580093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*((-490)\/98)\/(10\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 59*b - 309. Let p be r(-52). Solve -184 + p = 43*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4674849239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 271146696 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5268236 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/30)\/((-2)\/5). Let i = -4.4 + 2.4. Which is the closest to v? (a) 4 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 917\nAnswer: 2751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*w + 1465. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2917 and 262046.\nAnswer: 764388182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209 + -100. What are the prime factors of u?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.70778 tonnes in micrograms?\nAnswer: 67707780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**3 - 2*z**2 - 3*z + 2. Let q = -85 - -90. Let l be r(q). Suppose 0*n + l = 4*t + 3*n, -5*n = 2*t - 392. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29673 - -29662. Which is the nearest to -0.3? (a) 4 (b) 7 (c) z (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4260 (base 8) to base 9.\nAnswer: -3041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -2*d. Let o(n) be the second derivative of 1\/2*n**d + 0*n**3 + 0 - n + 0*n**4 - 1\/20*n**5. Find the first derivative of o(h) wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 - 964 = -2*j. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174686051?\nAnswer: 829, 210719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10744 + 10748. Solve 3*p + 23 = -5*f, -4 = 5*f - c*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*1 + -1.\nAnswer: -1 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**5\/20 + 5*j**4\/6 - 11*j**3\/6 - j**2 - 103*j. Give u(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2933 + 4070. What is the remainder when b is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04738 >= 835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -29. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.19 + -26.9. Let j = a - 0.29. Let t = j + 13.999957. Round t to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(208) + sqrt(208)*-2))**2*3 - (-2 + (sqrt(208) + -4*sqrt(208))*-5).\nAnswer: -60*sqrt(13) + 15602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -23793, 2\/7, 4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 942\/53 not equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {c: 5, l: 1, g: 7, y: 3, w: 3}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -11008383?\nAnswer: -2\/11008383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f - 2. Let o be s(2). Let w be 6*-3*(-3)\/o. Suppose -2*n - 3*t - 4 = -t, w*n + 2*t + 6 = 0. What is the closest to n in 1, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 4, i: 3, j: 5, b: 1, a: 4}. Give prob of picking 1 i and 1 a.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0 (c) 565\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7, -18, -3\/305, 8?\nAnswer: -3\/305","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10 = 0, 4*k - 9 = s + 12. Let i = 3 - s. Suppose 3*v = 4*v, 2*q - i*v = 62. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1151 = 5*j, 2*k - 302 = j + 291. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5662, -6366, -7508, -9088, -11106, -13562, -16456?\nAnswer: -19788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 153*l**3 + l**2 - 153*l.\nAnswer: -l*(l - 153)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -0.5 (b) -4 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + -1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -10693, -4, -5 in decreasing order.\nAnswer: -4, -5, -24, -10693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**4 - 68448*u + 366*u**3 - 7*u**4 + 253*u**3 + 117*u**3 - 33112*u**2 - 34596 + 6*u**4 = 0.\nAnswer: -1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 2*l**5 + 2*l**5 + (-1 - 2 + 2)*(0*l**5 + l**5 - 2*l**5) + 3*l**5 - l**5 + 0*l**5 - 3*l + 2*l**5 + 3*l + 2*l**5 + 2*l - 2*l.\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 180 = r. Suppose 5*w = 2*w - r. Let h = 54 + w. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13852777?\nAnswer: 1259, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5\/4 - 70*m**4 + 2672*m**3 - 59797*m**2\/2 + 429135*m\/4 - 159975\/2 = 0.\nAnswer: 1, 5, 10, 27, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -861, 252, 1317, 2310, 3207, 3984?\nAnswer: 4617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -15 - -11 - (-33 + 12).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(972) + 0 + sqrt(972) - (sqrt(108) + 0)))**2.\nAnswer: 240*sqrt(3) + 2716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 58, -8.9, -2\/11, 7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 4:34 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {h: 3, c: 1, z: 4, y: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4)\/(12\/(-16)). Let j = 4 - s. Let k be 2 - 7\/(21\/j). Solve -4*v + v = k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003 to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 6. Let i be q(3). Suppose 0*g - i*g + 14 = -2*c, c = 3*g - 10. Sort g, 0, 5 in descending order.\nAnswer: 5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) + -1 + 246\/18. Suppose 2*h = -2*i + 12, -5*i + 7 = -5*h - b. Let l = 3 - 1. Solve -o - 4*o + 5*z + i = 0, 4*o = -l*z + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139062 divided by 22?\nAnswer: 6321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*x - x = 1030 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2 + 1246*c + 8211.\nAnswer: -2*c + 1246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*c = -5 - 16, 15 = n - c. Calculate the greatest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 207?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**2 - 11865*p + 716410 = 0?\nAnswer: 62, 2311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2361\/16527*(-3 - 130).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i. Suppose i = -3*y - 2*u + 8, -3*y + 5*y = 5*u + 18. Suppose -3*g = y*c - 23, -2*g + 3*c + 6 = c. Solve -g = j - 0*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Let q = -7.19 + 6.6. Let z = 0.89 + q. Sort t, z, 5.\nAnswer: z, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2047035?\nAnswer: 3, 5, 239, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 14*p**3 - p - 1. Let g be (7290\/48)\/(-1) - 2\/16. Let a = 151 + g. Determine t(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -0.3 (c) -1\/3 (d) -0.18 (e) 1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735115.5 nanograms to micrograms.\nAnswer: 735.1155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 19*g - 38. Let b be i(2). Suppose 37*a - 39*a + 19178 = b. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 16*u - 160, -u = -18015*q + 36033*q - 18014*q - 10 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*b - f + 13, 4*b = -4*f - 36 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 5*c**3 + 0*c**3 + (0*c**2 - 3*c**2 + 18*c**2)*(4*c + c - 3*c).\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 3:34 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 + 2009*i - 1010*i + 5 - 1028*i. Let z be n(-6). What is the nearest to z in -0.3, -0.08, 0.5, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*y - 44, -3*i + 652*y = 655*y - 30. Sort 4, 5, -5, i, 0 in descending order.\nAnswer: 5, 4, i, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.52 * -2.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 = 3*m, 0 = -p - 5 + 3. Let k(x) = 2*x**2 + 2. Let f be k(m). Suppose 4*z = 2*z - h + f, -2*z = -5*h - 44. Solve -2*u + z = -6*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s = 30*s. Solve s = 7*i + 1 + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -22*h**3 - h - 1. Let y be k(-1). Let a = -14 + y. Solve 4*g + a = -4*m, -2*m - 2*g - 3*g + 5 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 7 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*i + 853*i - 288*i - 288*i + 11.\nAnswer: -4*i + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480199841.\nAnswer: 11, 79, 552589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, m: 1, l: 6}. What is prob of picking 3 h and 1 m?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -373 - 320 + 56*l + 670 in the form a + p*l and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1660*z + 568460. Determine v(342).\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 290 - 288. What is the second derivative of -29*m + h - 191*m**3 + 189*m**3 - 40*m wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/33)\/(v**17*v) assuming v is positive.\nAnswer: v**(-596\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p + 5*p + 3*p. Let q = 14 - 17. Suppose 4*r = -3*c - 5, -2*c + 3*r - 19 - 7 = 0. Let n(w) = -2*w. Determine c*n(t) + q*b(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + -597\/4. Let q = -70 - -421\/6. Which is the nearest to -0.1? (a) m (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*q - 14346, -5*q + 2*a - 14342 = -10*q. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 1071987?\nAnswer: 1071987","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 3\/5 (c) -15.99 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -200.4 times -0.01\nAnswer: 2.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -35. Solve -d - 1 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 64431432359.63.\nAnswer: 64431432359.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2221*q - 2503*q + 472400 = 0 for q.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 927 and 0.280622?\nAnswer: 260.136594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -400, -402, -404?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 7508 = -14*n. Suppose n + 444 = 11*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22800, -530, -4 in ascending order.\nAnswer: -22800, -530, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3, 0.5, -3.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8672*b**6 + 327*b**2 + 2*b wrt b.\nAnswer: -1040640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)\/(s*s**(-4)))\/((s\/(s**(-4)*s))\/s**(-3\/7)) assuming s is positive.\nAnswer: s**(-33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9093574361.\nAnswer: 59, 154128379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 13. Let l be c(-13). Suppose -2*y + y + 5*k - 21 = l, 0 = y + 3*k - 19. Let a = -1 + 3. Solve 3*z = a*g - 9, -5*z = 4*g - 3 - y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 80, 74, 68, 62, 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100852 or -100854?\nAnswer: -100854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 25. Let r = -268 + 472. Let n = -192 + r. Calculate f(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1794)\/184 + (18 - 9).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2184 and 12?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -245 + 557. Let s = -146 + v. Let a = 86 - s. What is a rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1520957*t + 1520957*t - 11*t**2.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 12*z - 447. Suppose z = 32*k - 22*k. Solve 0 = k*h + 14 - 39 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 - 81. Let b(w) = -w**2 + 3*w**3 - k*w - 6*w**2 - 11*w**3. Let f(p) = -15*p**3 - 13*p**2 - 13*p. Calculate -11*b(l) + 6*f(l).\nAnswer: -2*l**3 - l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*c - 5 = 381*c - 2*g, -3*g = -4*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 7*d**2 + 5 + 5 - 3 + 11*d**3. Let l(a) be the first derivative of 3*a**4\/2 - 4*a**3\/3 + 3*a**2\/2 + 4*a - 9. Give -4*g(x) + 7*l(x).\nAnswer: -2*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*r. Suppose 4*h - 2*f - 10 - 20 = r, 30 = 5*h + 5*f. Suppose -s - 1 = w, -2*w - 3 = 5*s - h. Sort -1, s, -5 in descending order.\nAnswer: s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4350, 8612, 12874, 17136, 21398, 25660?\nAnswer: 29922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*c + 78 = 0, m = 4*m + 3*c - 84. Let g = -29 + m. Suppose 0*b + g*b = -3*r + 146, 0 = -b - 4*r + 83. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 9*b**2 - 7*b - 4. Give x(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2252, 4516, 6816, 9170, 11596?\nAnswer: 14112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3425)\/50 + (-110)\/140*-7.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 5*l**2 - 16*l + 20. Calculate j(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.648 + 0.935. Let l = f + 0.013. Let k = -1.7 - l. What is the closest to 0 in k, 3\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 6*x + 2. Let d be h(-5). Let b be 862\/(-6) + 3\/(-9). Let o = 1439\/10 + b. Sort o, d, 0.3 in ascending order.\nAnswer: o, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 54355, 11, -1.\nAnswer: -4, -1, 11, 54355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -222222 (base 3) in base 9?\nAnswer: -888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61 and 4941.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/16 and 97\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5245461?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/7 - 764*w**2\/7 + 16970*w\/7 + 17732\/7 = 0.\nAnswer: -403, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 173.8 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25791089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 5 - ((16 - 2) + -10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14*(-42)\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f - 11. Let j(c) be the second derivative of c**3\/3 + 5*c**2\/2 - 311*c. Determine 13*j(g) + 6*x(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -42. Suppose 0 = -l*f - 13 + 82. Let z = f - 18. Solve 6 = -4*k - 2*i + 16, 0 = k + z*i - 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 - 226\/(-7). Suppose 23 = 5*s - v. Let i = -15 - -21. What is the least common multiple of i and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-16)\/20)\/((-8)\/(-20))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 296*i*n*y**2 - i*y**3 + 701*n*y**3 + n*y with respect to i.\nAnswer: 296*n*y**2 - y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17274 * 3\nAnswer: -51822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 8) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 19*o**3 - 6*o - 30*o**3 + 2 + 10*o. Let b(h) = 10*h**3 - 3*h - 2. Calculate -7*b(a) - 6*x(a).\nAnswer: -4*a**3 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 53. Suppose 0 = -3*o + 9, 4*o = x*h - 1 - 19. Suppose 0 = 3*l - 8*l - 15, -4*z + 19 = -l. Solve 4*t = -5*i - 14 - 3, -2*t = z*i + h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5284, 143, -2, -5 in ascending order.\nAnswer: -5284, -5, -2, -1, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = 1. Suppose m + r = -2. Is 2 a factor of m\/(6\/2)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2116 - -0.2123678. What is v rounded to five decimal places?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-8 - 1)) + -1 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 13*n - 2. Let c be l(-12). Suppose 4*f = c*f - 42. Sort -5, -3, f, 0 in increasing order.\nAnswer: -5, -3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 174 = 5*t, 11*y + t = 139 - 151 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-21)*m**3)\/((m**22\/m)\/m**14) assuming m is positive.\nAnswer: m**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Suppose 1 = -g - p. Let l = g - -4. Solve l = x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151 (base 9) to base 15\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:59 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:01 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2 + 2*f + 2*f**2 - 4 + f**2. Let l be z(-3). Which is greater: l or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0, 3, 20 in decreasing order.\nAnswer: 24, 20, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -1\/20*c**5 + 7\/2*c**2 - 4*c + 0 - 5\/12*c**4 - 1\/6*c**3. What is the tens digit of m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009873223 rounded to 6 decimal places?\nAnswer: -0.000987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (2 - 14) - 14) + (-7 - -1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/24 and -68\/81?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 10. Suppose 3*f - 5*a - 56 = 10, -5*f + 2*a = -91. What is the remainder when o is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {s: 1, q: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 195\/6)\/((-236)\/472).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22232 bigger than -133391\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*(-24)\/(-24).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 31, -5, 1, -2545.\nAnswer: -2545, -34, -5, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = 4*v. Suppose -t = v*x - 2*t, 4*x = -t + 7. Solve x - 5 = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -33225210?\nAnswer: 33225216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9942.242 + -9948. What is s rounded to one dp?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5 = 3*w, w - 11 = -2*g + 6*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 + 110. Suppose -25 = -0*w + w + 5*t, 0 = -4*w + 3*t + 15. Suppose -2*x + 5*g + 25 = w, 0 = 3*x - 4*g + g - 51. Solve -x = 2*y - d*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12574406 minus -320?\nAnswer: 319.87425594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -r - 9, -r = -2*x - 2*x - 36. Let l = x + 12. Let k(z) = -3*z + 4. Give k(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - -2) + 25 + 23 + -26.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -44369.7399 to the nearest 10.\nAnswer: -44370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b770 (base 16) in base 11?\nAnswer: -3a5475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-44)\/(-55))\/(34\/(-10) - -3). Let u(g) = -g**3 - g + 3. Let x be u(0). Put 0, x, j, 15 in ascending order.\nAnswer: j, 0, x, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -128, -62, 4, 12 in descending order.\nAnswer: 12, 4, 0, -62, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -54. Let q(s) be the second derivative of s**2 + 0 + 2*s - 1\/6*s**u. Calculate q(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + f - 32. Suppose 28*c = 24*c. Give x(c).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 u, and 1 v when four letters picked without replacement from {t: 1, u: 3, v: 4, x: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 35721?\nAnswer: -35721.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 929973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 10*s + 4. Suppose 5*w + s = 18. Suppose 4*p = w*p + 2. Solve 0 = -3*v - 5 - p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - b + 1)*(47*b - 25*b + 123*b) as u + l*b + j*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -23*m**2 + 6*m. Let o(d) = -d**2 - 2*d. Let y(v) = -3*o(v) - s(v). Let g(q) = -12*q**2. What is y(g(i))?\nAnswer: 3744*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q - 3 - q + 2 + 2. Let x be g(-4). Let t = -9 - x. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*s**2 + 57*s**2 - s**2)*(-1 + 1 + 2*s) + (118 - 118 + 17*s)*(0*s**2 + s**2 + 1 - 6*s**2) to t*s**3 + w*s + b + a*s**2 and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, -17, -23, -31, -41, -53?\n\"Answer: -p**2 - p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 - 144 = -4*x. Suppose 0 = 57*v - 63*v + 390. Let m = x - v. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 9953.68?\nAnswer: 9953.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 1515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(4*z - 4*z + z)*(-7389 + 3682 + 3709 + 4642*z) + (2*z + 5 - 5)*(-2*z + 7*z - 4*z) as k*z + w*z**2 + r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*v - 45 = 221*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**2. Let u(z) = -32*z**2 + 9*z + 3. Let q(j) = -33*j**2 + 12*j + 4. Let f(r) = 3*q(r) - 4*u(r). What is f(a(c))?\nAnswer: 464*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 6. Let q = m - -1. Calculate the least common multiple of q and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -1362?\nAnswer: -1365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 0.4, -11, -1\/5 in increasing order.\nAnswer: -11, -1\/5, 1\/10, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2101?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15731431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306089 is divided by 3860.\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4640*0.0404\nAnswer: 187.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4089\/10 - -405. What is the common denominator of g and 55\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391874491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2214877 to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 194 = -15*t, -14*t - 145 = -17*t - 2*i - 39 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4245 + 4245 - 1966355*b**2.\nAnswer: -1966355*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - v + 0*v**3 + 0*v**2 + 0 + 5*v**3 - 1. Let s be c(1). Calculate the least common multiple of (2\/s)\/(3\/48) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -27, 62, 173, 300, 437?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36241, -36190, -36137, -36082, -36025, -35966?\nAnswer: -35905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 702 and 7749.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5256\/(-292)*(-4)\/(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 9 = 5*t + s, -5*s = -5*t. Solve 5*q - 4*m - t = 6, 5*m + 23 = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -77 + 74 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 31*u + 20. Give p(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - 10*g**2 - 13*g + 9. Let j be a(6). Let t(f) = -j + 11*f - 22 - 12. What are the prime factors of t(16)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/80)\/(-3))\/(4\/(-80)*-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/11 + -38\/55. Let o = -60 - -422\/7. What is the nearest to o in 5, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 1:35 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 117*j**3 - 27*j**2 + 247*j - 27. What is the tens digit of v(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0*x*x*x**(-2\/15)*x**1*(x*x*x**(-2\/23)*x)\/x)**(36\/7) assuming x is positive.\nAnswer: x**(23928\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-26) + (124656\/13)\/6.\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -502765 or -502762?\nAnswer: -502765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 0*q - q + 4, -2*l + 12 = 3*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + sqrt(612) + -1*sqrt(612))*2)**2*3.\nAnswer: 7344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40828*t**3 + 61*t**2 + 5327*t + 353?\nAnswer: 244968*t + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120 + 138 + 39\/9)*-3 - 8?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, -1414, 0, -5, 0.2, 0.15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 392*j + 3*j**4 + 4*j**4 - 4*j**3 - 334*j wrt j.\nAnswer: 84*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18601 (base 10) to base 4\nAnswer: 10202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mymmmmmmmymmmymmmmmm. Give prob of sequence ymm.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*b - 28*b - 1380. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6713.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -22.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2756196 and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -10*v - 322 + 9\/2*v**2 + 1\/3*v**3. Let q(y) = 2*y + 2. Let o be q(-6). What is c(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(65191\/16358 + -4). Let x = -10\/241 + k. Calculate the common denominator of x and 36\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 4:57 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeweuuwwuwww. Give prob of sequence uu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 1606?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 5*l - 7. Let v be x(6). Let k be 0 + v + 2 + 0. Let g(y) = 4*y**2 + y - 3. Let w(s) = -s**2 - 1. Let a(m) = k*g(m) + 3*w(m). Calculate a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 43 + 112*u**2.\nAnswer: 112*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2\/5*v**4 - 96*v - 152\/5*v**2 + 0 + 8*v**3 = 0.\nAnswer: -2, 0, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*0*((-990)\/(-308))\/(-45)*(-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88188 and 293960?\nAnswer: 881880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + 2*d**3 + 3*d**3 + d**3 + 3 - 3 + d**3 + 2*d**3 - 2*d**3 + (-2*d**2 + 0*d**2 + 0*d**2)*(-5*d + 2*d + 2*d).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6)*20109\/(-1192). Let c = -1\/596 + m. Let p = -392166\/11 + 35652. Calculate the common denominator of p and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 5:40 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(171))**2 + (sqrt(19) + 0)**2*-2 + 4 + sqrt(19) + 5 + sqrt(304) + 0 + (1 + (sqrt(76) - (1 + sqrt(76))))**2.\nAnswer: -7*sqrt(19) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 greater than or equal to 1252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -4*(sqrt(68) - sqrt(68)*-1)))**2.\nAnswer: -800*sqrt(17) + 108825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-8) + 81\/108. Suppose 3*h - 4*v + 42 = l*h, 5*h + 3*v - 142 = 0. Suppose h*y + 20204 = 30*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/33405 and -53\/290820.\nAnswer: 4943940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, q: 8, r: 5, h: 2}. Give prob of sequence hnr.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9064995 is divided by 3210.\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73677330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 0*i + 6*i)*(34 + 33 + 3)*(2*i + i**2 - 2*i) to the form o*i + w + g*i**3 + q*i**2 and give g.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) 2\/7 (c) -0.3 (d) -46371 (e) -32 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (270*u - 1019*u - 1536*u + 704*u - 1143*u)*(0*u + 2*u - u).\nAnswer: -2724*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-20)\/17574*281 - (-38)\/551 and 11\/1212.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*p = -7 - 2, 2*p = q. Suppose w - l + 7 = -q*w, 2 = -l. Which is the closest to -1? (a) 0.5 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**1)**22\/((((((t*t**(-19))\/t)\/t)\/t)\/t)\/t**(18\/5)) assuming t is positive.\nAnswer: t**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 6*h + 6. Let q(c) = c**2 - 5*c + 5. Let v(y) = -6*q(y) + 5*z(y). Let f be v(1). Let u = -8 - -11. Sort u, f, 0 in increasing order.\nAnswer: f, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 34 + 8 = 0. Let x(g) = -k + 2*g**2 + 42. Let f(z) be the second derivative of -z**3\/6 + 2*z. Give x(f(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-5 + (16 - (-6 - -13))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 11:40 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110000110011 + -11111010?\nAnswer: -1110100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 44798952?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6070991 - 5?\nAnswer: -6070996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24263 and 11146933?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, 9, 8, -3\/4 in increasing order.\nAnswer: -3\/4, -0.3, 2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209 - -308. Let c = h - 61. What is the highest common divisor of c and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c**2*h + 3992*c**2*j*s**2 + 2*c**2*j*s + 20*c*h*j*s + 2*c*j*s**2 + 2*c*j - 3*c + 4*h*j*s**2 + 7*h*s - 2*h wrt s?\nAnswer: 7984*c**2*j + 4*c*j + 8*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*b + 6*b. Suppose -690000 = -n + j, 3*j = 4*n - 2*n - 1380000. Suppose b*r = 3*r - n. Round r to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 3, 4, -4, -38, 11 in decreasing order.\nAnswer: 88, 11, 4, 3, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/((-6)\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 608*c - 130. Calculate m(0).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3*j - 67 = -86, 5*j + 45 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 44 = 3*y. Suppose -2 = -3*x - 11. What is the lowest common multiple of y and (4\/3)\/((-2)\/x)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23116835939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**5\/11 + 10*o**4\/11 + 432*o**3\/11 + 488*o**2\/11 - 13696*o\/11 - 26112\/11 = 0.\nAnswer: -8, -2, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -7\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3162*k**2 - 238*k + 238. Let m(i) = 40*i**2 + 3*i - 3. Let n(u) = 3*j(u) + 238*m(u). Let t(q) = 2*q**2. Determine t(n(c)).\nAnswer: 2312*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 0.06 (c) -103 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 240.31.\nAnswer: 24.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -5, 16, -2.\nAnswer: -5, -2, 0, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 136 or 683\/5?\nAnswer: 683\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - a + a)*(489*a**2 - 821 + 821) + a**4 + 1 - 1 + (-2*a**3 + a**3 - a**3)*(-a + 0*a + 0*a).\nAnswer: -975*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 910, 2058, 3666, 5734, 8262?\nAnswer: 11250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y - 173. Let r(z) = -z**2 - 2*z - 2. What is -p(n) - 3*r(n)?\nAnswer: 3*n**2 + 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j. Let o(w) = 1509*w. Give i(o(m)).\nAnswer: 4527*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 + 277*y + 545. What is s(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*m - 231 = 0, -3*x = -12*m + 8*m - 204. Suppose 0 = -b + 362 + x. What are the prime factors of b?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 5, -15, 0, 3 in decreasing order.\nAnswer: 5, 3, 0, -15, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 20, -3, -4 in descending order.\nAnswer: 20, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and -4.37?\nAnswer: 6.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (22354\/16)\/(7 - (-715)\/(-104)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (152\/(-190))\/((-1)\/(-10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 3*n - 2*n)*(-n**2 + 5*n**2 - 2*n**2) + 0*n**2 + 0*n**2 - 2*n**3 + (n**2 - n**2 + 7*n**2)*(-n - 3*n + 0*n).\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*l**2 - 20500*l**3 - 70*l**2 + 20475*l**3 to x*l**3 + k*l + i + z*l**2 and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/295640 and 89\/12160.\nAnswer: 4730240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-1) - (4 + 0 - 4). Suppose 62 = -5*i + 177. Calculate the least common multiple of i and (x\/15)\/((-1)\/3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -34 + 32 + -17 + -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -1. Let p be (-153)\/j - (-3)\/(-2). Suppose -1 - 25 = -g - 4*i, -g + p = 3*i. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1573*z**5 + z**3 + 863*z**2 wrt z?\nAnswer: -94380*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, -3144, -15.8 in descending order.\nAnswer: 107, -15.8, -3144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -5413 and 2\/4195 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4291 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3126?\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.64 or -282?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 - 7 - 37)*(-4 + 0 + 5 + 2*d).\nAnswer: -194*d - 97","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.7 + 0.3. What is the nearest to -1\/4 in k, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 2*p, 150*p - 3*v = 147*p - 9 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 3*b - 2*o = 0, -2*b = -2*o. Suppose 0*z - z + 4*v + 101 = b, 4*z + v = 404. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3274754 (base 8) in base 4?\nAnswer: -3113213230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-5) + 5)*(-1 - -3). Factor 13 - 4 + 0*x**3 - 21*x + 12*x**2 - 3*x**3 + 3*x**z.\nAnswer: -3*(x - 3)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1 + 2*g + 0*g - 5*g - 3*g**2 + 0*g**2. Let u = 245 + -247. Let v be n(u). Which is the closest to -2\/3? (a) v (b) -2\/9 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 982 + -978. Solve m = 3*k + 2*q, 7*k = 10*k - 3*q - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.159 times -0.73?\nAnswer: 0.11607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(425)*1 + -1*(sqrt(425) + 1) + (sqrt(425) - 4*(sqrt(425) - (sqrt(425) - (sqrt(425)*2 - sqrt(425))))) + -5*(sqrt(425) + 0 + sqrt(425)))**2.\nAnswer: 650*sqrt(17) + 71850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/((-7)\/8))\/2. Does 14 divide q\/(-8) - (-186)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*l + 100. Let p = 46 + l. Let f be (p - (-2 + -2)) + 4. Which is the closest to 1? (a) 0 (b) f (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23\/6? (a) -4 (b) -3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwiij. What is prob of sequence iiwj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 191 + -1335\/7. Sort 0, 4, k in descending order.\nAnswer: 4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - i + 68 = 6*f - 4*f, -3528 = 122*i + 2*f for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485494 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*t = 2*z - 33, 3*t = -4*z + 41. Let o = z - 5. Solve -3 - 6 = -3*l - 2*x, -o*l = -x - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 30. Let f(c) = -2*c**2 - c - 1. Let o be f(v). Let l(s) = -s**3 + 3*s**2 + 2*s + 15. Is l(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-1)\/(4\/(-12)). Let r(m) = m - 10*m + 9*m + v*m. Let g(o) = 3*o**2. What is g(r(k))?\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-1) + 3\/3. Suppose -42 = -4*x + 26. Suppose 18*s = x*s + w. Solve 5 = -5*o - s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.543 plus -2924?\nAnswer: -3034.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -2 + -2 + 174. What is the greatest common factor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420 divided by 71?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3074411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -c35?\nAnswer: -c3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3, 0, -0.2, -5\/57, -338?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4520 or -1?\nAnswer: 4520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 8*o - 7. Let p be g(-9). Suppose -5*c + 4 + p = -v, 5*v = -2*c + 24. Suppose c*z - 10 = -3*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 8*t = 0. Calculate the least common multiple of 16\/1 - (-2 + t) and (8\/6)\/(8\/36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -275025837, -275025848, -275025863, -275025882, -275025905?\n\"Answer: -2*a**2 - 5*a - 275025830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -97519.82 rounded to the nearest 100?\nAnswer: -97500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00244102 to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/294 and 17\/567714?\nAnswer: 567714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877.7361mg to micrograms.\nAnswer: 877736.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**5\/60 - g**4\/24 - 13*g**3\/6 - 4*g**2 - 361. Calculate k(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k + 2. Let i(t) = -t**3 + 4*t**2 + 11*t + 8. Let h be i(6). Give f(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 3, c: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50827 and 15953?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - o. Let v(b) = 7*b**2 + 2*b + 25. Let l(x) = -v(x) + 4*w(x). Let y be l(9). Put y, 0, -1, 7 in ascending order.\nAnswer: -1, 0, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 674083046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002775935 to 7 dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 - 2 = 4*o. Let k = 89 - 62. Find the common denominator of (k\/12)\/((-9)\/o) and 49\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -9. Solve 0 = -d + t - 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 63*h + 8736. Calculate the lowest common multiple of t(-124) and 9.\nAnswer: 10548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 726 (base 8) to base 12\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1334756 - -395?\nAnswer: -1334361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22664841 is divided by 466?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 26, 4\/5, 744\/5, 1.1, 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**3 + 1920*o**2 - 15549*o + 1891. What is j(-648)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, u: 4, r: 3, e: 7, y: 3}. What is prob of sequence meeu?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 192, -3, 3\/11, -2\/29, 0?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-7 + 1) - -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 15 (b) -83\/10 (c) -6.1 (d) -2\/5 (e) 1 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**3 + 3992*s**2 - 114128*s + 804384 = 0.\nAnswer: -1026, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59.1 - 73.6. Let b = -8.57 - p. Round b to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*f - 7*u - 27, 0 = -3*u - 9. Let x = -16 + 1. Let o = f - x. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/1)\/6)\/((-6)\/(-4))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 671\/10 + -5939\/90. What is the third biggest value in 0.1, g, 0.647?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**6 + 12*l**4*x**2 - 8*l**3*s - 6*l**2*s*x**2 + 398*l**2 - 2*l*s*x**2 - s wrt l?\nAnswer: 120*l**3 + 288*l*x**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72*y + 240*y + 65*y + (0 + 0 - 3)*(-y - 3*y + 5*y))*(y**3 - y**2 + y**2) to the form v*y + r*y**2 + n + m*y**3 + t*y**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*h - 0*h - s + 12, 13*h + 4 = 4*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.6, 0, -1011\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1696 < -1703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109275.\nAnswer: 5, 44371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-2) - (-250)\/(-65). Which is the second biggest value? (a) -2\/13 (b) d (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 75. Factor 4*h - 2*h + 17*h**3 - u*h**3.\nAnswer: -2*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107036193 to the nearest integer?\nAnswer: 10346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -5*o + 19. Let y be 30\/(-24) - (o\/8 - -1). Sort -5, y, -7, 3.\nAnswer: -7, -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (330\/36 + 16\/(-24))\/(3\/6)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13206 - 0.131. What is i rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1912431\/54682 - (-5 - 1323\/(-266))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(13\/11 + -1). Let y = 15 + z. Suppose -2*q = 2*p - q - 23, y*q + 7 = p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 95 = 29*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 + 1 - 1) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 12194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -146*w + 137*w - 72 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-1 + sqrt(180))*4 + 0 + sqrt(180) + 2 - -5*(sqrt(180) - (sqrt(180) + -1)**2*5)) + 0).\nAnswer: -4527 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(a**4 + a**3 - a**3) - 2*a**4 - 5*a**4 + 5141*a**3 - 5154*a**3.\nAnswer: -9*a**4 - 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 0*m**5 + 0*m**2 + 11 - 1\/7*m**7 + 0*m**4 + 0*m**6 + 8\/3*m**3 + 0*m. Find the third derivative of y(t) wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77 - -71?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/((-60)\/75)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 290, -1.\nAnswer: -3, -1, 1, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 19, -54042 in ascending order.\nAnswer: -54042, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 7. Let o be w(-6). Let t = 377 - 725\/2. Let h = 14 - t. What is the nearest to o in -4, h, -1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1013525l?\nAnswer: 101.3525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -69*w - 1070. Let b be v(-16). Suppose s - 2*s + 7 = -i, 2*i = 3*s - 16. Let z be (-21)\/s*4\/(-3). Solve -b = 5*a - z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.2 + 4.5. Sort 0.5, -6, y.\nAnswer: -6, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4\/7)*m*m*m\/(m*m**8)*m*m**(1\/5)*m*m**(-2\/15))**(-44))**(-23) assuming m is positive.\nAnswer: m**(-372416\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -25. Suppose n*f + 5 = -3*j + 25, j = 3*f + 2. Calculate the remainder when 3 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*d - h, 2*h - 9 + 4 = -d. Which is the third smallest value? (a) d (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 417641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 49, 70, 91?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**5\/20 + l**4\/2 - 3*l**3\/2 + 2*l**2 + l + 2. Factor v(x).\nAnswer: -(x - 4)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r + 4. Let k be i(0). Suppose -4*s + 12 = 2*q, 4*q + q - 3*s - k = 0. Solve 2\/13*l**q - 4\/13 - 2\/13*l = 0 for l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -9 + 46 + -16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42841 * 0.01\nAnswer: 428.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43175831 - -19983831. Round u to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p - 3. Let k(q) = -q + 1. Let g be (2\/4*2)\/(2\/(-2)). Determine g*t(b) - 4*k(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a5 + -43d?\nAnswer: -4e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9 - (-1242)\/126) + (-99)\/42)*(-220)\/6?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696 divided by 17?\nAnswer: 1696\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 16*s**2 + s + 1. Let r be 4\/6 + 10\/(-6). Let c be (3 + 2\/(-1))\/r. Does 7 divide x(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 14*a - 69. Let y be m(-18). Suppose -4001 = -s + y*x, -s + 1022 = 5*x - 2939. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -12 + 52. Let i be (-42)\/3*z\/35. Suppose 1 = -i*o - 3, 5*s = 2*o + 227. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2\/11 - 20*l\/11 - 42\/11 = 0?\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - p + 0)*(1 + 5 - 5)*(-95*p - 4*p + 14*p).\nAnswer: 85*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -57. Let q(o) = 3*o - 9. Let z = 24 + -20. Let y be q(z). What is the greatest common divisor of y and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70160*y**3 + 3*y**2 + 519755*y?\nAnswer: 420960*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47571234 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + (sqrt(405) + 1 - sqrt(405)))**2 - sqrt(405)) + sqrt(5)*-1 + sqrt(5) + 3.\nAnswer: 9*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 15, 4.\nAnswer: 4, 15, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.485 + 3.495. Let o = x + 20. Let y = 0.46 - 0.46. Which is greater: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2. Let c(j) = -j - 1. Let r be c(-5). Let p(a) = -r*a - 2*a - a. Determine b(p(t)).\nAnswer: -98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 8*d + 2. Let s be x(8). Let f(b) = 0*b**2 - 3*b + 1 + 7*b - 3*b + b**s. Suppose 51*z = 21*z + 90. Calculate f(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*q*x**2 + 15201*q*x + 34*q + 96608*x**2 - 100 wrt q.\nAnswer: -10*x**2 + 15201*x + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**2 - 6*u**2 - 35*u**2)*(-1 - 287 + 87) to the form z*u**2 + v + p*u and give z.\nAnswer: 7839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t = -14*t - 1938 + 636 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Is (-93)\/q*13\/39 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-553)\/(-12) - 128\/1536. Solve v = -23*w - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40539 - 40538.9999935193. Round j to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2 - 2*k + 4. Suppose 0*q = p + 4*q - 7, 0 = 5*q - 15. Let c = p + -7. Let d = 7 + c. Let t(j) = -4*j**2 + j - 2. What is d*t(i) - 3*n(i)?\nAnswer: -i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0*q - 1. Let v(p) = -4 - 2*p + 3*p - 3*p**2 + q - 5*p + p**3. List the prime factors of v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -15*c**2 - 90*c + 8. Let w be n(-6). Suppose -y - w = -5. Let q(o) = 5*o**2 + 4*o. Let z(x) = -x. What is y*z(t) - q(t)?\nAnswer: -5*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 369, 5.\nAnswer: -11, 5, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10149 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/(-20) + 77\/28.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -959\/2563, 1 in increasing order.\nAnswer: -0.6, -959\/2563, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5 - 1883*d**4 + 887358*d**3 - 876074*d**2 - 4421759*d - 2656443 = 0 for d.\nAnswer: -1, 3, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2. Let v = 2 + 2. Let d(x) = v*x - 3*x - x + x. Determine d(k(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1069 and -115046.\nAnswer: -115046.1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3327 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -344609100 rounded to the nearest 1000000?\nAnswer: -345000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 300958208 a multiple of 1948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - 8*q**2 + 11. Let r(p) = -p**3 - 3*p**2 + 4. Suppose k - 2 = 1. Suppose -44 = 5*t - 0*t + n, 4 = t - 3*n. Determine k*h(z) + t*r(z).\nAnswer: 2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2. Let c(j) = -6*j**2 + 29*j + 14. Let y(a) = c(a) - 4*w(a). Does 14 divide y(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-723)\/(-482)*((-95)\/(-60) + -1 - (-5)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y + 441 = 19*y - 186 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from kkkqqth?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 71, 2562.1, 2\/29, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = 21. Sort 1\/6, 0.4, x.\nAnswer: 1\/6, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*o - 160, o - 46 = -0*o - 4*a. Let g = -24 + o. Does 4 divide 66\/g + 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.9554 centuries in decades?\nAnswer: 1069.554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*sqrt(119) + sqrt(119) + sqrt(119) + sqrt(119))*6)\/(sqrt(21)\/((2*sqrt(108) - sqrt(3)) + sqrt(3))).\nAnswer: -432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 10*m**6\/3 - 15*m**2\/2 + 14. What is the second derivative of v(c) wrt c?\nAnswer: 400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8254350 and 48555.\nAnswer: 8254350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -10*w**2\/17 - 74*w\/17 + 260\/17 = 0.\nAnswer: -10, 13\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 9*u - 25. What is the lowest common multiple of u\/4 + 376\/16 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.08 minus 0.5355?\nAnswer: -1.6155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8155 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42400500 (base 6) to base 11.\nAnswer: -77a989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h\/(h**(-17)*h)*h)*h*h)\/((h*h**(-19)\/h)\/h*h) assuming h is positive.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*q + 2, 0 = -5*y + q + 3*q - 41. Let w(j) = -j**3 - 9*j**2 - 7*j + 10. Let t be w(-8). Let x be (t + -5 - y) + 10. Solve 3*d = -d - x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -473 and -473 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 - 74. Suppose 3*w = -0*y + 5*y - 15, -5*y - 5*w = i. Let k = 6\/5 - 17\/10. Which is the nearest to y? (a) k (b) 1\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 3 (c) 6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**2 - 7*a - 1. What are the prime factors of t(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 488664001 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1520 + -1522. Which is the nearest to -1? (a) x (b) -1.2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 41*m**4\/24 + 7*m**3\/2 + 17*m**2\/2 + 76*m. Let b(c) be the first derivative of x(c). What is the derivative of b(i) wrt i?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7175 and 3157.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/11)\/(12\/(-8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.4. Let j = 1 + h. Suppose -7*x + 10*x - 26 = 5*v, 0 = x - v - 6. Which is the nearest to -0.1? (a) 4\/3 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1769.395nm to centimeters.\nAnswer: 0.0001769395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*l - 2 + 2)*(0*l**3 - 3*l**3 + l**3).\nAnswer: 56*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50, 1840, 8758, 23788, 50014, 90520, 148390, 226708?\n\"Answer: 514*n**3 - 570*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t**2 + 13*t**2 - 29*t**2 - 40*t**2.\nAnswer: -93*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24, -55, -88, -123, -160, -199, -240?\n\"Answer: -i**2 - 28*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + 8 + 1 + 46\/((-230)\/(-25))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 914, 1727, 2436, 3041, 3542?\n\"Answer: -52*r**2 + 969*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/4)*n)\/n**(-9)*(n**(-1)\/n*n)**(-1\/59))**(-31) assuming n is positive.\nAnswer: n**(-82429\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -211639361 - 32.9.\nAnswer: -211639393.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/(-2))\/(3\/750)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 49*b. Let f(a) = -282*a**2. Determine c(f(y)).\nAnswer: -13818*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-4)\/10)\/((-55)\/(-50)))\/(-2). Let z = -2\/61 - -65\/122. Which is the fourth biggest value? (a) -3 (b) -1\/4 (c) z (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -867 and -730 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 12 - ((-3 - 4 - 10) + 22)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 331a97?\nAnswer: -331a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y**2 - 4499 + 4499)*(4 + 0 - 5).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 1159625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-390)\/45*(-2)\/13*6\/(-46)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261 and 435.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 163394 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 21428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12163425 divided by 162179.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32 + -2 + (-9 - -5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6\/21 + (-9)\/((-2016)\/1856)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1070*f**4 - 2*f**3 - 4*f**2 + 290*f - 4. Let k(v) = -v**3 - 2*v**2 - 2. Let r(m) = -i(m) + 2*k(m). Find the second derivative of r(s) wrt s.\nAnswer: -12840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 18 + 6*r**3 - 3*r**3 - 2*r**3 to the form v*r**2 + g*r + c*r**3 + t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 7\/64207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, l: 4}. What is prob of sequence hhlh?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 162\/(-45)*(-4 - (-1 - -2)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -2*u - 0*u. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4212.207 decades to centuries.\nAnswer: 421.2207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14633 or 2\/3?\nAnswer: 14633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 297984, 297982, 297980?\n\"Answer: -2*o + 297986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1)\/(4\/(-12)). Let i(y) = -11*y**2 - 5*y + 7*y - 4*y + 3 + 10*y**2. Give i(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 4*y**3\/3 + 52*y. Let z(t) = t**2. Give k(z(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, n: 2, g: 4, h: 1, d: 2, k: 2}. What is prob of sequence nh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -428, 5\/2, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -924700 divided by -10.\nAnswer: 92470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) -3 (c) -1 (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 0, 1, 2\/13, 47 in ascending order.\nAnswer: 0, 0.02, 2\/13, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 40\/(-30) + 20\/84.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96068.3957 rounded to the nearest one hundred?\nAnswer: -96100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -102803 divided by 175\nAnswer: -102803\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-70) + 13944\/735\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 1, a: 4}. Give prob of sequence ma.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.17453 centuries in decades?\nAnswer: 271.7453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, -10, -71, -130?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/19)\/(l**(-15)*l) assuming l is positive.\nAnswer: l**(263\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/((-81)\/42))\/((-276)\/621)*382 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11631180 or -162836521\/14?\nAnswer: -11631180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 1\/16*h**4 + 3 + 1\/12*h**3 - 1\/8*h**2 - 1\/4*h. Factor j(i).\nAnswer: (i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 247*q**2 - 10193*q + 1108. Give z(283).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60352 (base 11) in base 3?\nAnswer: 11111002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (576\/(-10368))\/((-3)\/(-24)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**6\/240 - k**4\/4 - 3*k. Let o(z) be the third derivative of g(z). Let l(q) = -2*q**2. Calculate l(o(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -14*g**2 + 37. Let f(t) = -9*t**2 + 25. Give -8*f(w) + 5*o(w).\nAnswer: 2*w**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 4*w - 12. Let i be m(2). Suppose -i*c + 30 = -98. What is the remainder when 316 is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163.45 + -163.53503. Round z to 3 decimal places.\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8183.56 rounded to the nearest 100?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by 45\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117925698 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*n - a, -167*a + 172*a = -n. Solve -n*k = 3*x + 8 - 17, 4*k - x + 3 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.074 + 117574.\nAnswer: 117574.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.84289 + -0.3.\nAnswer: 0.54289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 120\/45 + (-4)\/(-12). Find w, given that -108*w + 77 - 136*w**2 - 20*w - 2*w**4 + 55 + 128*w**m - 6*w**4 + 12*w**4 = 0.\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from mwfcfwmcffcdff.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7*60.4\nAnswer: -422.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16789?\nAnswer: 103, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, w: 5}. Give prob of sequence wss.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(170)*-1)\/(sqrt(200)\/sqrt(5)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20520018.\nAnswer: 2, 3, 89, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4138493 is divided by 1620?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72132, -72141, -72160, -72195, -72252?\nAnswer: -72337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 314 + -312. Solve 24 = w*m + 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*o = -4*o + 46, 5*b = o + 65. Let s be ((-5)\/1)\/(464\/(-96) - -4). Suppose -6*y + b = s. Which is greater: -0.054 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 331*k + 533*k + 165*k.\nAnswer: 1029*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 601\/348 - 172\/87. What is the biggest value in b, -3, 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/239 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 6*s**2 + 5*s - 14. Let u be x(-4). Let l be ((-1599)\/260 - -6)\/(3\/u). What is the second smallest value in l, 0.14, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - 4 - 0\/(-2). Let o = 17 + l. Let c = o - 17. Solve k + c*i = -10, -k + 6*k + 24 = i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -5*o + 3*f, -26*o - 2*f - 29 = -13*o - 12*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is (170 + -171 - (0 - 4) - 19) + 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3039, 6124, 9243, 12396, 15583, 18804?\n\"Answer: 17*z**2 + 3034*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 9*r + 8. Let u be w(8). Suppose 5*h + 4 + 1 = u. Let i be (2 - h) + 2 + 0. Solve 0*l = -i*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25030042 (base 6) to base 12\nAnswer: -325322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 5*r**2 + 4*r + 1. Let a be g(4). Solve 0 = 2*c + 3*p + a - 0, -5*c = -p - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40*7\/378)\/(-5*(-15)\/180).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + 0*i**4 - i**4)*(-3*i - 4*i + 5*i) - 147*i**5 - 6085*i**2 + 6085*i**2 + i - i + i**5.\nAnswer: -144*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22586 and 48599.\nAnswer: 47724218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmxnnx. Give prob of picking 1 m and 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 49.50989nm?\nAnswer: 0.04950989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 440184*t**2 + 12022495236*t - 4830184404144.\nAnswer: 4*(t - 396)*(t + 55221)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v - 6. Let r(g) = g + 1. Let a = 0 + -1. Let f be 1 + 2*a\/1. Determine f*z(s) - 6*r(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (2\/4 - 15\/10). What is the least common multiple of 18 and 177\/21 + n\/(-7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5667, -11369, -17129, -22947, -28823?\nAnswer: -34757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:32 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2130725?\nAnswer: 5, 85229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14256597 to three dps.\nAnswer: -0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**5\/20 + k**4\/3 + k**3\/6 - k. Let g be b(-3). Suppose g = 5*d - 4. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155*a**2 + 26 + 353*a + a - 53 + 25 wrt a?\nAnswer: -310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + 2*n + 4. Determine m(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1218477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/60 and -41\/870?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m. Let f(l) = 7*l**2 - 8. Let w(v) = -22*v**2 + 27. Let z(h) = 7*f(h) + 2*w(h). What is g(z(u))?\nAnswer: -15*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.31114 days to microseconds.\nAnswer: 977282496000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*r - 8, -4*z - 18 = z + 2*r. Let q = -3 - z. Suppose -f + 5*m + q = -8, 3*f - 2*m - 14 = 0. Solve f*k + 5 = 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.73 + 1.9. Let r = 12.83 + j. Let h = -12.5 + r. What is the closest to h in 3, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 1008946 - 1008958 = 0, q - m + 1 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 759, 4, 21, 11 in decreasing order.\nAnswer: 759, 21, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/189 and 91\/135?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*j**2 + 0)*(1 - 1 + 1) - 2*j + 4*j + 3*j**2 + 0*j**2 - 2*j**2 + 0*j**2 + 4*j**2.\nAnswer: 3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -355 divided by -355?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 22, -38\/3, -3\/5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2380, -2387, -2394, -2401?\nAnswer: -2408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1219125037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1686 + -1686. Solve g = 12*d - 21 - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 4:04 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 9646.\nAnswer: -48230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 d, and 1 z when three letters picked without replacement from ddcccccczdccdccze.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((528\/(-22))\/(-72))\/(1\/(-33))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 594 + 594 - 4*n + 16*n - 8*n**3 to the form w*n + s*n**3 + f*n**2 + h and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 28. Let b(y) = -y**2 + 8*y - 3. Let c be b(d). Let p = 11 - 5. Is c greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -2*j**3\/9 + 2*j\/3 + 13. Solve m(c) = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -5\/6, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from uuuuprurprurueuppr?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -2 - 6 - (-12 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 6 = 176. Solve -5*x + 20 = -3*o, -5*o = -2*o + 2*x + s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 186*w**2 + 169*w + 1398. Determine h(92).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 7*y**3\/3 + 3. Let k(n) = 2*n - 3*n + 2*n. Calculate k(g(z)).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 29*w**2 + 70*w**2 - 35*w**2.\nAnswer: 6*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 445 and 120.\nAnswer: 10680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.70471435 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 52*o = -49*o + 17, f = -o - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 - -3*(-30)\/(-9) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**5\/20 + v**4\/12 + v**3\/3 + v**2\/2 - 2*v. Let h be s(-1). Let d be 0 + (1 + h)\/4. Are 2 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*a + 3*y - 12, -5*a = -4*y + 16. Suppose -o + 2*o - 14 = a. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1505)\/(-915) - 1\/3. Let y = j + 931\/732. Calculate the common denominator of ((-2)\/(-12))\/(30\/999) and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29993799*g**3 + 12437381*g**2 wrt g.\nAnswer: -179962794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 - -0.117?\nAnswer: 464.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29404 is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15736 + -15737. Put -1785, k, -5, 5 in decreasing order.\nAnswer: 5, k, -5, -1785","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = -66*u - 26 - 49 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2 (c) 2\/7 (d) -3.5 (e) 5\/3 (f) 0.35 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.898 - 0.002. Let t = m - 3.1. Which is the closest to -3? (a) -2\/7 (b) 2\/11 (c) 0.3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46550.4 weeks in nanoseconds?\nAnswer: 28153681920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1311*r - 1300*r - 550 = 0. Is 460\/9 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-34)\/((q**7\/q)\/q**(-2)) assuming q is positive.\nAnswer: q**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r + 7. Let d(b) = -b - 1. Let j(k) = -2*k - 3. Let f be j(-2). Let n(v) = f*q(v) + 5*d(v). Let t(h) = -h - 1. What is 3*n(a) + 4*t(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one fifths of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 118 + 236*c**2 + 49*c**3 - 297*c - 644*c**2 - 42*c**3.\nAnswer: (c - 59)*(c + 1)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2)\/(((-408)\/(-68))\/((-80)\/(-4))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3 - 7 + 9*f + f**2 - 4*f. Suppose -l - 3*y + 26 = 2*y, 3*y = 4*l + 11. Calculate the remainder when b(-6) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m*r**3*w - 3*m*r**3 - 4*m*w + 31*m wrt w?\nAnswer: 3*m*r**3 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 7:31 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3. Let d(x) = -5*x**3 - 4*x**2. Determine -d(b) - 2*w(b).\nAnswer: 3*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 15260 = -2*h, 54*h - 38150 = 49*h + 4*v. Calculate the greatest common divisor of 70 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/(-1740))\/(6\/54*(-12)\/6)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqiwwiiq. Give prob of picking 1 w, 1 i, and 2 q.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.208, -1, 2\/5 in descending order.\nAnswer: 2\/5, -0.2, -0.208, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 174.0838l?\nAnswer: 174083.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(1377) - sqrt(1377)) + sqrt(1377) - sqrt(153)\/(sqrt(9) - (sqrt(324) + 1*sqrt(324))).\nAnswer: 2 + 100*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -5) + (8 - -2). Let h(n) = 9 - l*n - 2 - 7. What is h(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/(-22)*39688\/(-9020)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 18 - 2. Suppose 1 = -3*h - 3*k - 5, y*h - k = 7. What is the greatest common divisor of h and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21132 + 1742.\nAnswer: 22874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 3*x**2 + 4. Let o be q(-3). Find the third derivative of -w**2 + 0*w**4 - 2*w**2 + w**o + 0*w**4 wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 7. Let i(m) = -17*m. Determine k(i(z)).\nAnswer: -34*z + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l - 3*l)*(-4*l - 9*l - 2*l - 27*l).\nAnswer: 210*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8865179 tonnes to nanograms.\nAnswer: 886517900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q + 28 = 4*x, 5*q + 10 = 0. Let r(m) = 0 - 4 + m + x. What is r(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -15 - -52 - 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1718289*j**4 + 2667*j**2 - 7*j - 16.\nAnswer: -41238936*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 i, 1 l, and 1 b when four letters picked without replacement from imlmlbmmlmil.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 1467*a**2 - 9942*a + 86760.\nAnswer: -3*(a - 5)*(a + 12)*(a + 482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -234548\/5 (b) 4 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - 68.6. Let l = 72.227 - 5.497. Let b = l + x. Is b < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)*s*s**(-6)\/s)**(19\/4)*(((s**6\/s*s)\/s)\/s*s**(-2\/15))\/(s**(-6)\/s*s**(-2\/3)\/s) assuming s is positive.\nAnswer: s**(-901\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 18*w**2 - 24*w - 18. Let c be q(-9). Let i = c - -1171. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3404215 is divided by 1134670?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**4 - 48220*j**3 - 3733225*j**2 - 23771510*j = 0. Calculate j.\nAnswer: -9566, -71, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 29. Give l(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f = -52*f + 12*f + 7021875. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 7) + 19 + 19?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 481194 or 481199?\nAnswer: 481199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 570 + -557. Solve -z*n + 10*n = -9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.99 - -0.01. Let g = h + 49. Let c = 78.066 - g. What is c rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-18)*2*(-18)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 1, g: 2}. What is prob of sequence kj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 - 9*m**2 + 3*m**2 + 6*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 2*c - 15, 30*d = 8*d + 3*c - 37 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -40*n + 241. Let i be a(6). Let k(m) = -4*m**2 + 2*m - 1. Let l(d) = -d - 1. Determine i*l(b) - k(b).\nAnswer: 4*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.16 + 6.16. Let a be (-1)\/(-5) - (-5 + (-1139)\/(-170)). Put -6, a, j, 3\/2 in descending order.\nAnswer: j, 3\/2, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 y, and 1 z when three letters picked without replacement from ceecbzckbyeeekkbk?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1032 - -5a?\nAnswer: -fd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/280*-5 + (-5)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 17*c + 26. Let n be o(-18). Let y = n + -40. Suppose y*j - 154 = 14. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-1)\/(-3) - (-3)\/6. What is the closest to -0.3 in 76\/3, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313 divided by 4\nAnswer: -313\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53bcb2 + -26?\nAnswer: 53bc8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8416 and 1332621?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -1000002111?\nAnswer: 1000002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 954630?\nAnswer: 3818520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 41*h + 41*h - 9*h**2 - 5*h**2 - 5.\nAnswer: -14*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.9 + -4. Let t = h + 0. Let w = 0.1 - -3.9. Which is the third smallest value? (a) 2 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*q + 61 - 1175 = 155 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/9)\/((-1)\/2). Let d = 107.5 + -108.5. Which is the closest to o? (a) 0.3 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79553.96 or -0.1?\nAnswer: -79553.96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4546470 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2 + 2 + 9*v**2 - 1 wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 - 3*j**2 - 3*j - 1. Let h be 1\/(-2*(-4)\/8)*0. Suppose h = -3*b - b - v + 7, -2*b + 5 = v. Suppose -19 + b = -6*p. Calculate k(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 535745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1692.8585 to the nearest ten.\nAnswer: -1690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - u - 2 = 0, -5*r + 6*u - 3*u = -22. Let a = 24 - 21. Determine j so that -4\/7 + 8\/7*j**r + 4\/7*j**a - 2\/7*j**5 - 2\/7*j - 4\/7*j**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0*h - 134336*h**2 + 134338*h**2 + 0*h. Let m(w) = 8*w + 1 + 5*w - 1. Calculate k(m(p)).\nAnswer: 338*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907019086.\nAnswer: 2, 453509543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.15, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -13. Suppose 5 + 21 = l*x. Solve v - 11 = -x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 567199?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:36 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036188 to 7 dps.\nAnswer: 0.0000362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 1.2. Let v = 380 - 380.3. Which is the smallest value? (a) v (b) -2\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 54 (c) -4 (d) -3 (e) -243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.0009, -3, -221, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(63\/(-14)))\/((-4)\/(-42)) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2848517803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10 + 11 + 7 + 1 - 28. Let q(p) = -2*p - 11. Determine -q(z) - 6*y(z).\nAnswer: 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-62888*s - 224*s**2 + 62888*s)*((-1 - 5 + 4)*(-3*s - 2*s**2 + 3*s) - s**2 + 2*s**2 + s**2) to the form z*s + l*s**2 + d*s**3 + k + m*s**4 and give m.\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(1980))\/(4*sqrt(132)\/sqrt(3)))**2.\nAnswer: 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -19. Suppose 157 = -j*y + 487. List the prime factors of y.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 139*c**2 - c + 139.\nAnswer: (c - 139)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73 and 9.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -501771 - -17.2.\nAnswer: -501753.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 6:55 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5 = 6 - 17 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3024)*-1 - sqrt(3024)) + sqrt(3024))\/(-2*sqrt(343) - sqrt(7)*-2*4).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3876055 and 25865.\nAnswer: 3695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7140.\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -6 + (-2 - (-8 + 34)) + 2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26500 + -26497.2. What is the biggest value in w, -0.4, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-180)\/8)\/3*-4. Let z be 8*2*(-15)\/w. Let v(q) = -2*q - 1. Let a be v(z). Calculate the highest common factor of 45 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -2, 9, 22, 37, 54, 73?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**2 + 6*u + 35. What is z(3)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 193870176 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d**3 - 9*d**2 + d + 6. Determine r(5).\nAnswer: 911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/13 - 112690*f**2\/13 + 1587097750*f\/13 + 7938306250\/13 = 0?\nAnswer: -5, 28175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o\/(((o*o**2)\/o)\/o)*o**(2\/3)\/o**5)\/((o**4\/o**(2\/5))\/((o\/o**(-4\/9))\/o**(-2))) assuming o is positive.\nAnswer: o**(-427\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4, 3*s - 323 + 122 = -2*d. Calculate the least common multiple of d and 352.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, -0.1, 20, 46, -0.5, 0.199?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 632 divide 21911863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 15945?\nAnswer: 15945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.37 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1315 + 5 - 1239)*(-w + w - 2*w**2) + 2*w**2 - 2*w + 2*w.\nAnswer: 5100*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/6, 9, 2.7, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d**2 - d. Let n(s) = 8*s**3 + 2*s**2 - 4*s. Let h(w) = 2*k(w) + n(w). What is the second derivative of h(t) wrt t?\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -492183.6659 to the nearest 1000.\nAnswer: -492000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 415 (base 6) to base 12\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, x: 5, l: 5, s: 2}. Give prob of sequence ls.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 79+-215276\nAnswer: -215197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1572721*y - 1572721*y + 89*y**2 + 36*y**2.\nAnswer: 125*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(912)\/sqrt(3))**2 - sqrt(57)\/(sqrt(75)*-1).\nAnswer: sqrt(19)\/5 + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*m + 220, 4*q - 440 = 3*m - m. Suppose -33*r + 2208 = -1455. Let k = r - q. Which is smaller: k or -3\/76?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1318 - -1316. What is the third biggest value in d, -509, 3?\nAnswer: -509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41485 is divided by 741?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23618 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201 + 230042?\nAnswer: 225441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = -2*m + 3*y, -y = -5*m + 6. What is the first derivative of b + m*b + b + 5 wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + 3*q**2 - 2*q**4 + (q**3 + 3*q**3 - 2*q**3)*(5 - 5 - 2*q) - q**4 - 4 + 3*q**4 + 55*q - 66*q - q**4 - q**4 + q**4.\nAnswer: -5*q**4 - 11*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 40\/15 - 3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2196 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 711 and 495725.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(162) - sqrt(162))**2*-4*-2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*t - 46. Solve 5*c + a - t = 0, 0 = 2*a - 6*a + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/2 + 2772627*u\/4 + 693157\/2 = 0.\nAnswer: -1\/2, 1386314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2. Let g(i) = 406*i - 350. Let s(k) = -34*k + 30. Let t(o) = -3*g(o) - 35*s(o). Calculate t(n(q)).\nAnswer: -140*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95 or 674?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/20*(-225)\/3300*-220.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002389 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6102053609 + -56.\nAnswer: 6102053553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 13*q**2 + 3*q - 3. Is h(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.6 - 71. Let s = -63 - i. What is the closest to 1 in s, -4.3, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-26)*h)\/(h\/(h*h**(-1\/6)*h)*h*h))\/(h**(-3\/5)*h**(1\/26)) assuming h is positive.\nAnswer: h**(-4798\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 a when three letters picked without replacement from hhhaqhvhllhlavvlh?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -db6a6 - d?\nAnswer: -db6b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 4*y - 3. Let r be m(-2). Let n(v) = -13*v + 11. Let g(p) = -16*p + 13. Let c(l) = 4*g(l) - 5*n(l). Calculate c(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 10. Let o be ((12\/4 + -3)\/(-1))\/1. Suppose o = v*l + 196 - 611. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*i - 30, -4*r - i + 10 = i. What is the third derivative of -9*v**5 - 3*v**2 - 3*v**6 + 9*v**r wrt v?\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95683\/22 + 4351. Find the common denominator of (-353)\/(-36) - 6\/27 and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.67 + 2.9. Let p = r + -0.229838. Round p to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 18. Suppose -p*c - 3*g = -1523, 0*g + 606 = 2*c + 2*g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11104608\/(-5298))\/(64\/(20\/(-5)))?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 3*t - 16. Let w(b) = b**2 + 16*b + 23. Let m be w(-14). Let l be a(m). What is the derivative of 3*y - 3*y + 0*y**4 + l*y**4 + 18 wrt y?\nAnswer: 96*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (1 - (-82)\/(-2)). Suppose 49*m = 63460 - 65518. Which is smaller: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 - -184. Let t = -21 - x. What are the prime factors of (t - -3)*(-3)\/6?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 1278 - 1302 = 0. Suppose i + 29 + 11 = -x, 0 = -5*x + 3*i - 168. Let q = x + 68. Solve -1 = r - 5*f + 23, q = -j*r + 5*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nymmmmmynmmm. What is prob of sequence ynym?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 78. Suppose v + 0 = 17*z. Factor 0 + 2\/13*x**3 + 2\/13*x**2 + 0*x - 2\/13*x**5 - 2\/13*x**z.\nAnswer: -2*x**2*(x - 1)*(x + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09869, -8, 2\/9 in increasing order.\nAnswer: -8, -0.09869, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 176*c - 15336.\nAnswer: 2*(c - 54)*(c + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 7:54 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 303479 a multiple of 587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -201.61 - -198. Let l = -0.61 - b. What is the biggest value in -9, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073 take away 11106406?\nAnswer: -11106406.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 divided by 746?\nAnswer: 211\/746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 4*f + 4 + 17 + 57 to the form v + w*f and give v.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20638295, 20638303, 20638311, 20638319, 20638327?\n\"Answer: 8*r + 20638287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 2*d**2 - 4*d - 5. Let h = 139 - 140. Let g be j(h). Let p(i) = 12*i - 3. Determine p(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 106\/9. Let q = 0.123 + 11.877. Let i = -109 - -114. Which is the third biggest value? (a) i (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55443 + 13.\nAnswer: -55430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3739*g**2 + 2*g**3 - 2*g**3 - 5*g**3 + 7*g**3 + 1 - g**3.\nAnswer: g**3 + 3739*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*p - 4)*(p + p + 0*p) + (3 - 3 + 3*p)*(0*p + p + 0*p) - 5*p**2 + 4*p**2 + 5*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -17 + (1 - 5) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26843?\nAnswer: 17, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 26, -2, -4, 4, 2.\nAnswer: -6, -4, -2, 2, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 10, 5, 4, -138, -6 in increasing order.\nAnswer: -138, -6, -3, 0, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**3 - 3 - 3*v**3 + 1)*(311*v + 313*v - 938*v - 1518 + 303*v) to j*v + m + s*v**4 + c*v**3 + d*v**2 and give m.\nAnswer: 3036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1615 divide 199434735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by (-5992)\/(-196) - 8\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) -1 (c) -41 (d) -6\/11 (e) 1\/7 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25562801 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370084392 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5907*x + 23653. Give w(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (0\/2 - (-1)\/1). Suppose 6*b + 2*m - 10 = u*b, 2*m - 22 = -5*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 8*u**2 + 2*u - 6. Let d be b(8). Let o(w) = -4*w**2 + d*w**2 + 11*w**2. Let v(a) = -2*a**2. Calculate v(o(t)).\nAnswer: -578*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 6 - 5)*(371*j**3 - 371*j**3 - 51*j**4) to the form i + p*j + g*j**3 + d*j**2 + c*j**4 and give c.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 31 = -5*w. Suppose 0 = 2*l - 2*y - 2 - 24, 2*y = l - w. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2. Let y(v) = 46*v**2 - v. What is y(g(l))?\nAnswer: 184*l**4 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1660)\/(-5312)*272\/(-2210)\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32990, -32966, -32942, -32918, -32894, -32870?\nAnswer: -32846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8415 (base 10) in base 16?\nAnswer: 20df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/(-7) - ((-4)\/(-14))\/1. Let j be ((-5)\/(-15))\/((-11)\/s). What is the nearest to 2 in -2\/5, j, 1\/10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 823.93 + -829. Let f = l + 0.07. Let n = -37\/13 + 729\/247. Put f, -0.03, n in decreasing order.\nAnswer: n, -0.03, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/5 (b) 2\/3237 (c) 567 (d) -1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(3))\/sqrt(4) + (sqrt(8) + sqrt(968) + sqrt(8) - sqrt(8) - sqrt(8))*-6)\/(((sqrt(44)\/(sqrt(11)*-1) - sqrt(4)) + -3*sqrt(4)*2)*2).\nAnswer: 65*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11529*u - 760890. Calculate w(66).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2488 take away -1.9?\nAnswer: -2486.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u - 6 = 0. Suppose -4*g = -3*g - 2. Suppose 3*o - 28000002 = -2*s + 2*o, g*o + 41999996 = u*s. What is s rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -391403, -391400, -391395, -391388, -391379, -391368?\n\"Answer: u**2 - 391404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 2, l: 1, j: 1, r: 1, g: 2}. Give prob of sequence xg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2033*z**5 - 6726*z**3 - 117681*z**2 - 12*z wrt z?\nAnswer: 121980*z**2 - 40356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*i + 82*i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4635*q**2 + 5487 with respect to q.\nAnswer: -9270*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10) - (-154)\/35. Suppose -t + 3*t = -d. Is (-1 - (83 - t))\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25 - -28) + 0\/1. Solve -3*t - 4 = z*u + 8, -4*u = t + 19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 32 - 10. What is the remainder when 43 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15879527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -1998, -6710, -15886, -31014, -53582, -85078?\nAnswer: -126990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -47\/3, 0, -4\/11.\nAnswer: -47\/3, -1, -4\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/5 - 147*i\/5 - 4896\/5 = 0 for i.\nAnswer: -96, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j + 31. Let r be v(5). Suppose -8*o = -6*o + r. Is o at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51 - 2732?\nAnswer: -2783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(200)*-1 + sqrt(200)) + sqrt(128)*2 + sqrt(392)*-2)\/((sqrt(4) + sqrt(4)*-2*-6 + sqrt(4) + sqrt(4) + -1*sqrt(4)*5)*1).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585.0476us to nanoseconds.\nAnswer: 585047.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10775 + -10772. Solve 0*v - 5*v = 2*c - 16, -r*v + 20 = -4*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-60)\/(-24))\/((-30)\/(-12)). Let b = -7.5 - -7. What is the third biggest value in b, 7, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from {p: 9, v: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - 4*r - 3*r**2)*(1 - 1 - r**2) + r**4 + 0*r**4 - 3*r**4 + (2*r**3 + 1 - 1)*(-r + 0 + 0) to h*r + a*r**3 + j*r**4 + u*r**2 + w and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 16*l**5\/45 + 3*l**4 + 8*l**3 + 6*l**2 + 17. Factor s(k).\nAnswer: 4*k*(k + 3)**2*(4*k + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -298, 1537, 7598, 19997, 40846, 72257, 116342?\n\"Answer: 352*z**3 + z**2 - 632*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/28*(-7)\/(-2). What is the third derivative of -4*s**n - 4*s**3 - 7*s + 7*s wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11966, 12085, 12204, 12323?\n\"Answer: 119*a + 11847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - l - 8. Let h(n) = -n**2 - 4*n + 18. Let y be h(-8). Let d be (-20)\/70 + -2 + (-32)\/y. Calculate t(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(((-6)\/(-10))\/1). Solve n*i = i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 290*i - 273*i - 5134. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((2\/6)\/((-8)\/6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r + 25 = 0, 3*d - 2*r = 25. Solve -d*k = -7 - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.0128l in millilitres?\nAnswer: 77012.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 0 + 0)*(-88 + 27 - 21) - 2 + l + 2 - 11*l + 11*l - 19*l + 0*l - l + 0*l - 5 + 2*l + 3 + 0 to the form r*l + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341703439?\nAnswer: 7, 11, 577, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -378858*x**2 + 143306?\nAnswer: -757716*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10967194 - 732806. Round l to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 1\/20*m**5 + 4*m**2 - 8*m - 1\/6*m**4 - 2\/3*m**3 + 0. Factor s(u).\nAnswer: (u - 2)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 5*r**2 + 0*r - 17*r + 8*r + 9*r.\nAnswer: -5*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/56 and 36\/1085?\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3386529535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 divided by -3?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*c + 2. Suppose 638 = c*i - 2202. Let a = 941 - i. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w. Let c = -17264 + 17280. Suppose b - 2*j = j + c, -5*b + 4*j + 25 = w. Is -3\/80 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/1753, -13, -0.3, 2\/9 in decreasing order.\nAnswer: 2\/9, 6\/1753, -0.3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-13)\/h**(-17))**(1\/3))**(-7\/10))**25 assuming h is positive.\nAnswer: h**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13603.\nAnswer: 61, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-3))\/(2\/(-4)))\/((-7)\/21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3036267 divided by 1\nAnswer: 3036267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -5) + (-4 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 4, -5\/172?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**4*y - l**4 - 358156*l**3*y + l**3 + l**2*y - 3138088*l*y wrt l.\nAnswer: -72*l*y - 24*l - 2148936*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*p**2 - 3*p + 57*p**2 + 37*p**2.\nAnswer: -56*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22860157 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: Suppose -3*u - 6 = 0, h + u + 3 = -3*u. Suppose h*l + x = -0*l + 1014, 5*x = l - 208. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -30, -97, -232, -459, -802, -1285?\n\"Answer: -4*l**3 + 2*l**2 - l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64.32 + -56.5. Let r = -7.9 + b. Let z = r + 3.08. What is the second smallest value in -0.5, 2, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 13, -9 in increasing order.\nAnswer: -9, -4, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/9))**(2\/125)*r*(r**8*r)\/r*r**(-1) assuming r is positive.\nAnswer: r**(9022\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 408024063 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 35 - (-48 + 42).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1412808.63 to the nearest 10000.\nAnswer: -1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 50 = -17. Suppose -o*h + 191 = -348. Sort -5, h, -4 in decreasing order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -44.3?\nAnswer: 13.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -43. Let y = -127\/5 + p. Let f = -16.4 + 16.9. Which is the nearest to -0.1? (a) y (b) f (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/24)\/((-1)\/(-4)). Factor -1\/4*x - 1\/4*x**5 + 1\/4 + t*x**3 + 1\/4*x**4 - 1\/2*x**2.\nAnswer: -(x - 1)**3*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 60 = 22*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -41*j**2 + 543*j + 10. Give p(13).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251920483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -8*d**4 - d**3 + 3*d**2\/2 + 5*d + 825. Let l(x) = 64*x**3 + 5*x**2 - 5*x - 9. Determine 5*a(v) + 3*l(v).\nAnswer: 32*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80955 by 129.\nAnswer: 26985\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-2016)\/161 - -15*(-20)\/50.\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3129, 3128, 3127, 3126, 3125?\n\"Answer: -c + 3130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -1 (b) 7 (c) -1\/5 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141102\/5 - -28112. Let q = -108 - h. Put -3, -0.3, q in descending order.\nAnswer: q, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9*c - 2\/3 - 2\/9*c**2.\nAnswer: -2*(c + 1)*(c + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 73437200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 22431037 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.97 >= -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 118 - 182 + 11*h**3 + 2*h**2 + 65 to the form d*h + g*h**2 + i + s*h**3 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9 rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -13) + 41\/1. Suppose -n*r + 1050 = -26*r. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, v: 5, q: 2}. Give prob of sequence wqvw.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2806*n - 34196 - 111014 - 31735 = -6921*n for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 632 - (2*-1 - (65 + -74)). Calculate the greatest common factor of d and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 14*i**3 - 2*i**3 + 5 + i - 38*i**3 + (i + 0*i + i)*(-2*i**2 - 2*i**2 + 3*i**2) - 2*i**3 + 2 - 2.\nAnswer: -30*i**3 + 2*i**2 + i + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 5*k**2 + 3*k + 6. Let w(l) be the first derivative of -9*l**2 - 4*l - 7\/3*l**3 - 7 + 1\/4*l**4. Let p be w(9). Calculate t(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 30\/12 - 3) + (-24)\/(-32)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -1291.2.\nAnswer: 129.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8434, -16926, -25474, -34078, -42738, -51454?\nAnswer: -60226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v**2 + 8*v + 7. Let k be b(-8). Let i = 92\/7 - 941\/70. Calculate the common denominator of k\/(-30) - (2 + -4) and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9994 and 73903.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 0 + 0*h**4 - 7\/6*h**3 + 0*h**2 + 7\/20*h**5 + 8*h. Find the second derivative of n(y) wrt y.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -213, -508, -945, -1572, -2437, -3588?\nAnswer: -5073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -3*p**7\/7 + 8*p**3\/3 + 6. What is the third derivative of l(c) wrt c?\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 849*w**5 - 7*w**3 - 1074*w + 6.\nAnswer: 16980*w**3 - 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 7) to base 14.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19143, -20583, -22023, -23463, -24903, -26343?\nAnswer: -27783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**2 - 3*b + 2. Let t be o(1). What is the highest common divisor of t and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.52 - -40372383841.\nAnswer: 40372383840.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 368.8638 months?\nAnswer: 30.73865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p - 1 = 0. Let c = p - -1\/2. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 9 + 27 = 0. Suppose -r + i = 2*r. Solve 0 = -m - r + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 9. Let h be i\/2 + (3 - 4). Suppose -3*y + 16 = 4. Solve -4 = -4*x + h*n - 14, y*n = 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-1170)*13*(-4)\/(-170)*(-60)\/6?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, 5674, 15176, 28456, 45520, 66374, 91024, 119476?\nAnswer: 151736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176\/28)\/(57\/(-133))*7\/(21\/9).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/6)\/((-7)\/(-21)). Let 5*j**2 - 12*j + 5 + j**v - 3 + 20*j**3 = 0. What is j?\nAnswer: -1, 1\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-2 - (-1 - -3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:07 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + a57?\nAnswer: a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**2 - 601*b + 2854. What is r(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 826.547 tonnes?\nAnswer: 826547000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6979*t**3 + t**2 - 38607*t wrt t?\nAnswer: 41874*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-7)\/42*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 4 + -2)*-452. Let a = f + 233. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q - q**2 + 7\/6*q**3 + 0 + 1\/24*q**4. Suppose 6 - 14 = 2*i. Calculate p(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 8 - -9 - (-1 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1134604\/582231*3*-13.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 618?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -422\/5 - -85. Which is the second biggest value? (a) 1\/3 (b) 2 (c) o (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/2*2\/3. Suppose 0 = 3*y - v - 1, y + 3 = -4*v + v. What is the units digit of (j - (-1 + y)) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2183607 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -7*k - 12*z + 13347, -3*k + 5739 = 5*z. Calculate the lowest common multiple of k and 180.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:40 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**6\/120 + z**5\/6 + 5*z**4\/8 - 3*z**3\/2 + 32*z**2. Calculate the remainder when n(10) is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c + 83b?\nAnswer: 7de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/77)\/((-5)\/((-105)\/(-18))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61430057 divided by 12.\nAnswer: 61430057\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 37 + 277. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6*s + 3*d + 187 = 0, -3*s = 5*d - 309. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3596 - 11473*z - 3022*z**4 + 5728*z + 5745*z - 1569*z**4 wrt z?\nAnswer: -18364*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 16*p**2 + 55*p - 22. Let g(h) = -3*h**2 - 10*h + 4. Let s(k) = -11*g(k) - 2*o(k). Let t(f) = 1275*f. What is s(t(u))?\nAnswer: 1625625*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -709545*v**3 - 709604*v**3 + 1419150*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -186 - -186. Solve -4*v - 5*i - 1 + 2 = 0, w = 2*v + 3*i + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -72*a - 59. Let v(t) = -t - 1. Let p(h) = m(h) - 2*v(h). What is the first derivative of p(f) wrt f?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 46. Let r = 24 - d. Does r = 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -294 + 30. Let f be k\/32 - 3\/4. Let v = -2 + 2. Which is bigger: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9*s**2 + 2*s + 37. Let r(h) = 2*h**2 + 1. Let u(z) = -a(z) - 3*r(z). Let n be u(7). What is the highest common factor of 62 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*(-3*(1 + sqrt(448)) + 4 + -4 + (-2*sqrt(448) - sqrt(448)) + sqrt(448) + 3))**2.\nAnswer: 2016000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -221 or -219?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 128048419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*t - 5 + 4)*(-2 - 2 + 1).\nAnswer: 9*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 7\/20*f**6 + 0*f**4 - 125*f**2 + 0 + 0*f**3 - 5\/4*f**5 + 0*f. Find the third derivative of m(x) wrt x.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -651 + 656. Solve a*t = -2*r - 22, 3*t - 4*r - 5 = -13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4\/5 + 50972*o**3\/5 + 324717122*o**2\/5 - 649587168*o\/5 + 324819072\/5 = 0.\nAnswer: -12744, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 3*y)*(90*y**3 - 37*y**3 + 64*y**3 + (-y**2 + y**2 - y**2)*(0*y + 2*y - y) - 2*y - y**3 + 2*y).\nAnswer: 115*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -14. Let v = -3 - d. What is the remainder when 6 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1 - 2*d - 1 + d. Let p(c) = -3*c. Give a(p(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 10:12 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**4 - v**4 + 0*v**4 + ((0*v + 0*v + 3*v**3)*(-4 + 4 - 2*v) + 0*v**4 - 3*v**4 + v**4)*(-9 - 9 + 6) as d + w*v**4 + o*v**2 + u*v + k*v**3 and give w.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-12\/13)*f**20*f*f**(-13)\/f*(f**(5\/2)\/f)\/f assuming f is positive.\nAnswer: f**(171\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194\/5 - -1343\/35. Let z = -513 - -556.9. Let q = z + -40.9. Sort i, -0.3, q in increasing order.\nAnswer: i, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 10. Let c(x) = -3*x**2. Give c(a(j)).\nAnswer: -12*j**2 - 120*j - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000451722 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 minus -132?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + c**2 + 2*c. Let u = -485 + 393. Let a = u + 90. Give s(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 148564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 + 2\/(-21). Suppose -2*s = -3*s + 1. What is the nearest to s in p, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 155*s**2 + 2*s**3 + 27 - s + 157*s**2 to the form k*s**3 + h*s + d + m*s**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 92*z**2 + 12*z - 48. What is the units digit of y(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 216 = 4*l. Let b(q) = q - 3. Let z be b(3). Let c = z + 15. Calculate the remainder when l is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-303143\nAnswer: -12125.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 84 = q. Solve -2 = -q*j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(2 - 1)*2. Suppose 5*j - 8 - a = 0. Solve -4*g - 18 = 2*y, 2*g + 3 = -j*y - 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1338 + 1363 + 2*z**2 + 2*z**2 + 2*z**4 to the form n + a*z**2 + i*z + x*z**4 + w*z**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1)*(-12)\/18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = 5*v - 65 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**2 - b - 1. Let h(v) = -360*v**2 + 5*v + 4. What is -h(g) - 3*j(g)?\nAnswer: 372*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, o: 2, b: 2, l: 4}. What is prob of picking 1 o and 2 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135140 (base 6) in base 8?\nAnswer: 164104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23833657 a multiple of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-56)\/49.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + 2*r**2)*(5546 - 5546 - 89*r).\nAnswer: -178*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2187\/11 - 199. Is -1 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 7. Let c = t + 7. Suppose -c*o + 4*o = 38. What is the remainder when 74 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 515.2 - 516.2. Let f = 6 + -3. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 483?\nAnswer: 483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*t**2 + 274*t**2 - 138*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 22*w**2 + 7*w + 7. Let n(k) = 11*k**2 + 3*k + 3. Give -7*n(b) + 3*q(b).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1220*c**3 + 2*c**2 + 5*c + 5. Let a be l(-1). Calculate the highest common divisor of 26 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(50\/35))\/(1\/2). Let d(h) = -1 + 2*h + 5*h - f*h - 31*h**2. Let j(z) = z. Determine j(d(a)).\nAnswer: -31*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**2 - 5*k - 1. Let n(y) = -7*y**2 + 6*y + 1. Determine 4*a(q) + 3*n(q).\nAnswer: 7*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, w: 12, x: 4}. Give prob of sequence wxx.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45468889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - h + 4*h + 7 = 0, -11 = -4*x + 3*h. Suppose -7*v = w - 3*v - 41, -2*w - x*v + 52 = 0. Suppose w*g = 19*g + 166. List the prime factors of g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1202 - -11310002?\nAnswer: 11302200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2\/7 (c) -8\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.86 - -3.2. Let t = -0.99 - o. Let w = 0.03 + t. Which is the third smallest value? (a) w (b) -4\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2405)\/26 - 8\/(64\/(-12)). Let z be 436\/(-3) + 2\/6. Let g = w - z. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5797 bigger than 5951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**3 + 10*c**2 + 10*c. Let d(v) be the third derivative of v**6\/120 + v**5\/60 + v**4\/24 - 72*v**2. Determine 10*d(p) - g(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 53 - 28 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -517.723 rounded to the nearest 10?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003802 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 305 = -5*c + 105, -v - 4*c = -82. Suppose v = 3*t + 16. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 5*m + 1. Let k be i(-3). Sort k, 1.1, -3\/4.\nAnswer: k, -3\/4, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 5\/2*v**3 + 7\/4*v**4 + 1\/120*v**6 - 11\/30*v**5 + 0*v + 0 - 21*v**2. Is 4 a factor of p(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154779705 divided by -3\nAnswer: -51593235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g + 2 + g**2 - 1 - 2*g. Let f be l(-3). Let w = -1 - -1. Which is bigger: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-10))\/(-4*(-7)\/(-14)). Let v be 264\/20 - 2\/5. Let y = v + -443\/35. What is the nearest to 0.1 in y, 2, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 5 - 15 - y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*g + 253 - 23*g + 43*g.\nAnswer: 66*g + 253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 230*f + 3. Let v(m) = -919*m - 13. Let o(x) = -9*p(x) - 2*v(x). Let z be o(-1). Is 4\/(-10) - z\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**3 - 2695*a**2 + 2680*a + 5380 = 0 for a.\nAnswer: -1, 2, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2429.5 - -2429.35169. What is s rounded to 3 decimal places?\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 3:35 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25077 + 17141 = 248*o for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11817.2478 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201001002 (base 3) to base 12.\nAnswer: 1750b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84205 is divided by 1386.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r - 17. What is o(11)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -64. Suppose 4 = o + 2. What is the remainder when 63 is divided by o*(-3 + c\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-282)\/(-329) + 752\/70 - 12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2 = -28. Calculate the common denominator of (27\/360)\/(w\/35) and 139\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**2 - 1051155*l - 9460800 = 0. What is l?\nAnswer: -9, 210240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millisecond in microseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1203*o**2 + 3*o + 10*o + 1199*o**2.\nAnswer: -4*o**2 + 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 258717842 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -47 + 20 + o**2 + 2*o + 26. Let f be 2*(2 + 6\/(-4)). Let g(i) = -i**2 - 1. Give f*g(s) - q(s).\nAnswer: -2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110333 (base 4) in base 7?\nAnswer: -512456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -8265 (c) 3 (d) 2 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j = -384. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112 + 431?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 13101 = h, -197*h - 13021 = -198*h + 5*c. What is the greatest common divisor of h and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**4\/4 - 2*q**3\/3 - q**2\/2 - 2*q + 203. What is c(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**9\/15120 + j**6\/60 - 7*j**5\/20 - 18*j**2. Let v(i) be the third derivative of s(i). What is the derivative of v(p) wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17652, -18340, -18966, -19530, -20032, -20472, -20850?\nAnswer: -21166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 5, h: 3, e: 8}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 99 - 28*o**2 + 99.\nAnswer: -28*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -214, -27, -24, 1, -5, 0 in increasing order.\nAnswer: -214, -27, -24, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 29. Calculate b(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 525, 786, 1047, 1308, 1569?\nAnswer: 1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/3 + 2830*f**2\/3 = 0. Calculate f.\nAnswer: 0, 1415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -86309028725136\nAnswer: -86309028725135.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 23. Let d be g(-5). Let r be (-20)\/90 + 40\/d. Solve -4*o + 0 = l + 3, -r*l + 3*o = -16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6 + 2 - 19 + 8 + 4. Let v(a) = -51*a + 2. Give -2*t(o) + v(o).\nAnswer: -51*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20592 divided by -115\nAnswer: -20592\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 3. Suppose 0 = -6*l + 8*l - 12. Let t(i) be the second derivative of 0 - 2*i - 1\/3*i**3 + 7\/2*i**2. Calculate l*t(h) + 14*m(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 329*q**2 + 11*q - 11. Let a(h) = 330*h**2 + 12*h - 10. Let j(s) = 4*a(s) - 3*r(s). Is j(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -7. Let h(s) = -s**2 - 2*s - 12. Let u be h(c). What is u rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 20\/(-5) - 1. Sort -4, -2, -1, h in ascending order.\nAnswer: h, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 = 2*p. Suppose p*z - 10 = 10. Suppose -z*r - 3*q = -q - 26, -2*r = 3*q - 15. Solve -r*o = -o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50488631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 967114157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**1)**(2\/11)\/((o*(o\/o**(-9))\/o)\/o*o\/o**3) assuming o is positive.\nAnswer: o**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -4\/7 (b) -3073 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q + 27*q - 612. Suppose 3*u - q = -18. Solve u = 4*o - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 164 = -4*g, g + 2*s - 170 = -3*g. Let z = -41 + g. What is the remainder when 9 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 257.5167 centuries?\nAnswer: 25751.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 645 = -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(1800)) + -2.\nAnswer: -60*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2656476464.\nAnswer: 2, 166029779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaqqa. Give prob of picking 3 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = -3*r + 2, 2*s + 4*r - 2 = 0. Suppose -14 = -t - s*l, -30 = -t - 2*t - 5*l. What is the smallest common multiple of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17527882 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375) + 6*-1*sqrt(375) - sqrt(375))\/(sqrt(30)\/(sqrt(20)\/sqrt(2))*-6).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 0 - 6*s - 2 + 3*s + 0. Let z be g(2). Which is smaller: -7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 86*w + 3892. Let z be u(-45). Solve x - 4 = -3*p, 0 = 23*p - 27*p + 2*x + z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63472668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173326*b**6 - 1773*b**2 - 21.\nAnswer: -20799120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from ngpxljxgjxnjggnxj.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -5*q**2\/2 - 3*q + 67. Let v(r) = 1. Give f(c) + 2*v(c).\nAnswer: -5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25931184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 2*m**5 + m + (59*m - 59*m + 121*m**4 + (2*m - 2 + 2)*(m**3 + 3*m**3 - 3*m**3))*(-m + 4*m - m).\nAnswer: 244*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.44 + 8.5. Let d = p - 90.06. Let q = 87.999892 + d. What is q rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 2\/7 (c) -2\/37 (d) -5\/3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**0*s**1\/s)\/((s\/(s\/s**3))\/s**0)*s**(-2\/25)\/(s\/s**(-7)*s)*s**(2\/17)*s**(3\/7) assuming s is positive.\nAnswer: s**(-31338\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 7*k - 4. Let c = 6 + 1. Let v = c - 2. Determine r(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * 20.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m\/m**1*m)\/m)\/m**(-11\/4) assuming m is positive.\nAnswer: m**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/13 (b) -2\/9 (c) 1\/2513238\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -93977700 divided by -1566295?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpvxvvvxvvxp. Give prob of picking 1 v and 2 x.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2 - 10*s**2 + 5132 - 5132 + 2*s**4 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -653147 by 1.\nAnswer: -653147","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*o - 16*o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 9*r**2 - 4*r**3 + 4*r - 7*r**3 + 9. Let t(m) = -3*m**3 + 2*m**2 + m + 2. Determine 4*p(i) - 18*t(i).\nAnswer: 2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 520447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -13*w + 11. Let a = 9 + -10. Sort w, a, -1\/2 in decreasing order.\nAnswer: w, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -139, -215, -291?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00991 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y + 10 = 0. Let f = 7 + y. What is the second derivative of -z + 0*z + 4*z**2 + 2*z**2 - 3*z**f wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 216\/(-9)*(11\/(-3) - -4). Let j(v) = v. Let l(o) = 8*o + 3. Let a(y) = -7*y - 3. Let s(m) = 4*a(m) + 3*l(m). Let t(x) = 5*j(x) + s(x). What is t(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*n + 298*n = 136*n - 408 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 + 5*r**2 + 4*r. Let f be p(-3). Let u = f - -46. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -22, -0.05, -2\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 14. Let n be i(-14). Suppose 29*l - 35*l - 4518 = n. Let w be (-1)\/33*l + (-4)\/(-22). Solve 5*u = a + w, -a + 0 = -2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 5.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 223697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.63 + -28.53. Suppose 30 = -b - 4*b. Let r = -10 - b. Sort -6, r, s in decreasing order.\nAnswer: s, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23134, 43898, 62288, 78304, 91946?\nAnswer: 103214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 8 - 8)*(-104*v**2 + 52*v**2 - 125*v**2).\nAnswer: -354*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 8 = 4*p + 4*u, -3*p - 5*u = -29. Let x = 5 - p. Suppose -8 = -4*s, -4*d = x*s - 107 - 9. Calculate the greatest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -168224.004 to the nearest ten.\nAnswer: -168220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.43000034 + -0.43. What is r rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 390 + -388. Let z(a) be the second derivative of 0*a**4 + 0 - 6*a - 1\/6*a**3 + 0*a**5 + 1\/15*a**6 + 0*a**p. What is the second derivative of z(q) wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/130 and 31\/260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2. Let o(x) be the second derivative of -3*x**3 - 9*x. Give m(o(w)).\nAnswer: -648*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-979)\/385 - (-54)\/(-63)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6839.551 micrograms in kilograms?\nAnswer: 0.000006839551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12988 - -12989. Let k = -5 + 9. What is the closest to -2 in k, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 divided by -19?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 16?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 5289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 522281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 181*o. Let v(m) be the second derivative of 0*m**3 - 1 - 1\/6*m**4 - m + 0*m**2. Determine v(i(b)).\nAnswer: -65522*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/(-20) - 3\/5. What are the prime factors of (14\/w)\/((-2)\/(-123))?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/9))**(2\/5)\/(f**(-2\/17)\/f)**(-28))**(-32\/3) assuming f is positive.\nAnswer: f**(763904\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-135*n**4 - 38*n**4 + 80*n**4)*(-1 + 0 - 1) in the form i*n**3 + l*n + k*n**2 + p*n**4 + f and give p.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/5*360\/(-32) + (-310)\/(-248).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5 = -y. Let q = 10 + y. Find the second derivative of -q*l - 2*l**5 + 2*l + 0*l wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 175 = -952. Let v = i - 141. Is 30 a factor of (-5)\/v - (-4710)\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26988397, 53976816, 80965235, 107953654, 134942073?\nAnswer: 161930492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 + 2*p**2 - p. Let f be h(1). Differentiate -2*y**3 - 2*y - 2 + f + 2*y with respect to y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 54*i**2 - 9*i - 6. Calculate the remainder when h(-5) is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -12, -46, -116, -234?\n\"Answer: -2*g**3 + 4*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 4 (b) 1\/11 (c) -85 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 0*l**3 + l**3)*(-1329*l - 331*l + 849*l - 1490*l).\nAnswer: 6903*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 310 in 0, -0.3, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**5 - 273*f**3*k - 33*f - 2*k - 2 wrt f.\nAnswer: 80*f**3 - 1638*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:03 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a = -o - 45*a + 3217, 5*a - 12895 = -4*o. Is o a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - (106 - 159) - -144?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 3)*(-4*s + 3*s + 3*s) + s + 4*s - 3*s - 77 + 77 - 5*s to the form k*s + a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 5, -0.004, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 7920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5055674 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 1325857?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7227086 decades to centuries.\nAnswer: 0.07227086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 times 22?\nAnswer: 6600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -36, -91, -198, -375, -640, -1011, -1506?\n\"Answer: -3*k**3 + k**2 - 3*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/13)*w)**(-9)\/(w\/((w**(-29)*w*w)\/w)*(w\/((w**(-1\/18)\/w)\/w)*w*w)\/w) assuming w is positive.\nAnswer: w**(-10327\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19778 - 593287\/30. Let t = w - 11\/10. Which is the closest to -2? (a) 0 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 2, i: 1}. What is prob of sequence sd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -244 + 271. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4441 - 4926. Is -3394\/7 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 124*g - 7175. What is k(43)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4 - 1 - 6 + 3*z. Let p be k(2). Which is the closest to 5? (a) 0.4 (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 128, 3, 0, 7 in ascending order.\nAnswer: -1, 0, 3, 7, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15700083 and 1724661.\nAnswer: 8097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -0.35. Let j = -4266.16 + 4266. What is the closest to j in 1\/5, 0.5, y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 6*v - 4. Put v, -5, 1 in increasing order.\nAnswer: -5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11743 - -5?\nAnswer: -11738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 9*r - 40 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14989 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 37292 to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96*x**2 + 694 wrt x.\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 13*h + 17. Let m be y(-12). Solve -5*c - 2*p + 15 = -15, -m*c - 3*p = -35 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/51 and -7\/57.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28211 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 + 1274\/21)\/((-1)\/(-39)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -803 - -814. Suppose -5*c + 17 = v, c = -4*c + 4*v + 7. Let h(f) = f**3 - 2*f**2 - f + 4. Let o be h(c). Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = -4*i + 15*u + 20, 2*i - 2*u = -2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2357276 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 17*q**2 + 18*q + 34. Let u be g(-16). Suppose 2*d + 7*v - 2*v = 47, 5*v = d + 14. Calculate the highest common factor of u and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 23460. Let a(s) = -5*s**2. What is y(a(d))?\nAnswer: -25*d**4 + 23460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*y + 9*y + 48*y + (-3*y - 2*y + 6*y)*(-2 + 3 - 3) as r*y + q and give r.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*f + 59*f = 90 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/70)\/(21\/49). Let x be -2 - (4 + -7 + -16). What is the closest to -2\/9 in 0, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 701 - 695. What is the smallest common multiple of 79 and l?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = k - 3*k, -q = 4*k - 24. Suppose 41 = 2*p + k. Calculate the highest common factor of p and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 6. Let v be h(4). Let b be 0\/v*1\/(-2). Suppose -z - 1 = -u - 3, z + 2*u = -7. Put z, b, 1 in descending order.\nAnswer: 1, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((6\/24)\/1)\/((-31)\/(-3348)). Calculate the highest common divisor of 711 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1013 (b) -4\/19 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 404\/12 - 2\/(-6). Suppose 2*q = d - 0. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -44.2\nAnswer: -1.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -5 - (255 - 240)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 16*t**2 + 5*t + 210. Give q(-15).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 1 - g + 4*g + g**2. Let f be q(2). Solve 3*n - 6 = 3*z, -3*n + z = f*z - 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5758*u + 11724. What is h(-2)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5224*s + 350004. Calculate k(-67).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 53 - 28 + 71 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + 8*q**2 + q**2 in the form j + a*q + x*q**2 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/3)\/v)**(-1\/7)*(v*v**(1\/6))\/(v*((v*v**(-2\/9)*v)\/v*v)\/v))**(-13))**39 assuming v is positive.\nAnswer: v**(11999\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from njntjjttjtnjjnt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, -2, 2\/13, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.227 - 0.03?\nAnswer: 0.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 258*s + 20059. Calculate t(-69).\nAnswer: 2257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 174394 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: What is the next term in 613, 1218, 1823, 2428, 3033, 3638?\nAnswer: 4243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2867065 take away 19905977.6?\nAnswer: -22773042.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -855 + 1586. Let l = -769.9 + j. Let d = l - -39. What is the closest to d in 0.04, 0.3, -3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1071 - 4279\/4. Let m = 1.1 - 2. Let i = -51 - -54. Which is the third biggest value? (a) i (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34390169 to the power of 1\/2, to the nearest integer?\nAnswer: 5864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 2*u\/7.\nAnswer: -2*u*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/27)\/(2 + -3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6739776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.32 + 1.82. Which is the second biggest value? (a) 4 (b) -1\/4 (c) 0.06 (d) x (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910179041.\nAnswer: 601, 1514441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8553 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 + 58 + 4*n + 56.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6)\/((-3)\/147*(-42)\/(-60)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -4*x - 30, w + 8 = 66*x - 67*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1323 - 3?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -90, 22, -2, -3, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16.9 in -102, -2, 4, -3, -2\/25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 748*b - 20256.\nAnswer: 4*(b - 24)*(b + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -568185 and -0.4.\nAnswer: 227274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4466, 4333, 4116, 3809, 3406, 2901, 2288?\n\"Answer: -k**3 - 36*k**2 - 18*k + 4521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 213100001103 (base 4) to base 9\nAnswer: 21322153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1271*h**2 - 1. Let v be s(-2). Let l = v + 162737\/32. Find the common denominator of 47\/80 and l.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -144716838*i**2. Let a(n) = -n**2. Calculate z(a(x)).\nAnswer: -144716838*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/5, -1\/33071, 1\/3, 3\/7, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7943696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/8)*m\/(m**(-4)\/m*m*m))\/(m**(-3)\/(m\/m**(-2\/7)))*m*m*m**1*m**(-3)*(m**1)**(2\/49) assuming m is positive.\nAnswer: m**(3607\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19728?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1799261 and -0.48.\nAnswer: -863645.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, e: 4}. What is prob of picking 2 e?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 5:09 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/19 or 2\/137?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/27 (b) -1 (c) 2.1 (d) 1.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7699999 - (-1*4 - -3). What is b rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36800 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1647.\nAnswer: -164.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*i**2 - 63*i**2 - 35*i**2 - 57*i**2 - 54*i + 156*i**2 - 8.\nAnswer: -2*(i + 1)*(23*i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8425390 less than 8425380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/2*2\/6. Suppose -10*r + 8*r = -50. Solve -k*f = 3*v + v + r, 4*v - 5*f = -15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (410\/6)\/((-8)\/(-96)). Suppose 5*l - 4370 + j = 0. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/8)\/(62\/713 + -10 + (-93910)\/(-1840))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*l = 3*c - 6, 0 = 5*c - 3*l - 10. Suppose -c*n = -7 + 1. Solve 0 = -h - 3*i + 13, -n*h + 7*h + 5*i - 17 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**4\/m))**30\/((m\/(((m\/(m**(-1)\/m))\/m)\/m))\/m**(4\/7)) assuming m is positive.\nAnswer: m**(-416\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 + 4*n**2 - 3*n**2)*(3*n + 2*n + 0*n) - 415*n + 415*n + 61*n**3 as u*n + o*n**3 + a*n**2 + w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 32. Find the common denominator of (-1 - (-47)\/(-10))*-2 and (118\/r)\/(1 + 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12) - ((-29704)\/(-1974))\/(-13 - 6945\/(-525)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -4. Let x be 5\/(-1 + 2)*(-1)\/b. Solve 0 = -4*h - 3*n + 6, 9 = -4*h + 5*n - x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87523378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.20306 + 21.2. Round h to 4 dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5121 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 0*j**2 - 7*j + 4*j + j**2. What is the units digit of f(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 63*l**2 + 134*l - 693. Let h be r(61). Let v = 6 + 85. What is the highest common divisor of h and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:05 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l - 1835 = -7190. Let f be (-9)\/(l\/(-28))*(-7)\/(-4). Factor u**2 + 16\/5*u - f*u**3 + 4\/5.\nAnswer: -(u - 2)*(u + 1)*(7*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/190 and 75\/48412.\nAnswer: 242060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 8. Let r be y(-8). What is b in 4\/9*b**3 - 2\/9*b - 2\/9*b**5 + r*b**2 + 0*b**4 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7839\/61 - 800323\/366. Let a = b + 2052. Calculate the common denominator of -49\/3 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-495))\/(2\/55)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104609.2799 - 104630. Let j = d + 55.7245. Let l = 35 - j. What is l rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + r = 67836, 69*q - 5*r + 13572 = 70*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/101888805 and 26\/19195?\nAnswer: 1120776855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 - 118.5. Let w be ((-3)\/21)\/(2\/8). Which is the third smallest value? (a) w (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 23*d. Let o(c) be the first derivative of 71*c**2\/2 + 8390. What is z(o(m))?\nAnswer: 1633*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + o - 6 = 0, 6*p + 4*o = 2*p + 8. Let h be 1\/(p - (-3)\/(-2)). Calculate the highest common factor of 4 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.640759 - 8.645. What is m rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-10))\/((-4564)\/(-19560)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 1\/50*u**5 + 0*u - 1\/200*u**6 + 0*u**3 - 1\/40*u**4 - u**2 + 0. Factor k(b).\nAnswer: -3*b*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b = -198. Let z = 36 + b. Suppose -4898 = -840*o + 2733 + 4969. Calculate the remainder when z is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**5 + 30681*d**3*v**3 + 65590*d*v**3 + v wrt d?\nAnswer: -40*d**3 + 184086*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2\/8 - 303*l\/8 + 38 = 0.\nAnswer: -304, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**5\/3 + 762*j**4 - 15940*j**3\/3 + 40936*j**2\/3 - 15152*j + 18176\/3 = 0?\nAnswer: 1, 2, 1136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -15, -10, -3, 6, 17, 30?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - 4*h - 7*h - 24.\nAnswer: -h - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*c**2 + 832980*c + 46531183 with respect to c.\nAnswer: 52*c + 832980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -q - 0. Let k = q + -8. Are k and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*((-10)\/(-6) - -1). Calculate the remainder when 2*2\/(f\/106) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (0 - 11) + 119 + -112\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-62)\/124 + 29\/42. Is c at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/6*m**4 - 14\/3*m - 1\/2*m**3 - 4*m**2.\nAnswer: m*(m - 7)*(m + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-55)\/(-132)*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffoufzoffooffzfff. Give prob of picking 2 z and 1 f.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10025 (base 6) in base 11?\nAnswer: a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*i - 819 = 0, -2*i = -2*v + 122 + 420. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, a: 2, g: 5}. Give prob of sequence acg.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 - 13*z - 24. Give r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.58333006 to 3 decimal places.\nAnswer: 2.583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*52\/(-195)*5\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1919*t**2. Let r(g) be the first derivative of -4*g**3\/3 - 1358. What is r(q(i))?\nAnswer: -14730244*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/3 - k**2 + 4\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1263, 5014, 11261, 19998, 31219, 44918?\n\"Answer: -j**3 + 1254*j**2 - 4*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 5928?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdq when three letters picked without replacement from qddbqwqqhbqbbqhbww?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00302238 rounded to 5 decimal places?\nAnswer: -0.00302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37418 - -38804. Calculate the greatest common divisor of 6314 and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*w - 2*f, -2*f + 1 = -9. Suppose -8*r = -w*r + 95. Let x = -5 + 7. Solve y - 2*u + 0*u + x = 0, -u + r = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -14. Suppose -7*l = -0*l + u. What is the closest to -2\/5 in l, 2\/11, 1\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -86, -84, -82?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from lxoollxjljlllllllxll.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 225*u**5 + 4486206495*u**4 + 22362275304085296*u**3 - 10435729930764612*u**2 - 2385309349818144*u + 1192654794541248 = 0. What is u?\nAnswer: -9969348, -1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/11000 - -109991\/99000. What is the second smallest value in 5, 14, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -976dc0 (base 15) in base 6?\nAnswer: -414325213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 4)*(-951*p + 83933 - 83933)*((-2*p + p + 0*p)*(2 - 2 - 2*p) + (-3*p - 3*p + 3*p)*(2 + 2*p - 2)).\nAnswer: 7608*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 448 - 454. Let p(y) = y**3 + 19*y**2 + 6*y - 3. Let t(k) = -2*k**2 + 1. Let g(f) = c*t(f) - p(f). Calculate g(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x**4 + 70368*x**3 - 187444*x**2 + 101512*x - 15616 = 0 for x.\nAnswer: 1\/3, 2, 1952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(9)*-1)\/sqrt(3) + (sqrt(3) - sqrt(192)\/sqrt(4)))*2)**2*-1.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 18*i**2 + 5*i - 29. Let q(b) = b + 0*b + 1 - 3*b - b**2 + b. Let w(y) = 5*q(y) + r(y). What is the derivative of w(u) wrt u?\nAnswer: 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 101365713?\nAnswer: 1115022843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 42*v**2 - 2*v - 1. Let a = -536 + 559. What is the remainder when g(-1) is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + 0 + 10)*2\/6. Solve -13 = a*r - 31 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**4\/4 + 2*r**3 + 2*r**2 + r - 2. Determine m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (60\/(-7))\/(2\/(-147)). Suppose -i - 8*i = -r. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5537 and 452?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 (base 9) in base 14?\nAnswer: 3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1074 and 8331376.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.8, -1.9, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1293666067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*o**3 - 4 + 28*o**3 + 2*o - 3*o**2 - 77*o**3 to the form z*o**3 + s*o**2 + u + y*o and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3452763024.\nAnswer: 2, 3, 2664169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 914*j + 12051.\nAnswer: -(j - 13)*(j + 927)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 10:41 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*d - 7, -4*z - 12 = -0*z - 4*d. Let n be (-3)\/(1 + 2\/(-3)). Let h(q) = -q**3 - 10*q**2 - 9*q - 1. Let f be h(n). Is z <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**2 + 142*z - 924. Calculate q(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-5 + (0 - 0) - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(18 - 17)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-9.08.\nAnswer: -45.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -18681, 219, 8\/15?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82572379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177963?\nAnswer: 101, 107, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6*r + 2*r = 4, -5*i + 12 = -2*r. Suppose -i*w + 6 = -2*w. Let k(o) = 2*o**2 + 4*o - o + 7 - w*o**2. Calculate k(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32532 by 6.\nAnswer: 5422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 2 - -4 - 6 - -2. Suppose 87*b - 85*b + 19 = w, -5*b + 56 = p*w. Is w < 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -837*d + 4880. Calculate o(4).\nAnswer: 1532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 6:40 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3606.\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.118990765 * 1\nAnswer: 0.118990765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 20*x**2 + x - 40. Give y(20).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 678671122282+-0.5\nAnswer: 678671122281.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3292178890 to the nearest integer?\nAnswer: 57378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -1. Let w be (-22)\/(-18) + g\/(-18). Let p(n) = -2*n**2 + 4*n + 5. Let a(m) = m + 1. Suppose -6*c - 25 = -c. Calculate c*a(j) + w*p(j).\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, x: 1, b: 2, z: 2, j: 2, e: 5}. Give prob of picking 1 j, 1 z, and 1 b.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*z - 179*z + 0 - 8 + 216*z**2 + 10.\nAnswer: 216*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 34*o**2 + 9*o - 106. Determine b(34).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 3*t**3 + 2*t**3 + (1 + 2 - 1)*(0 - 2*t**3 + 0) - t**2 + t**2 - 2*t**3 - 2*t**3 + 4 - 4 + 3*t**3 - 4*t**3 + 2*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*s, 25*s + 12434 = 2*a + 28*s. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4144144*o**3 + 17483455*o wrt o.\nAnswer: -24864864*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 15234730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(2\/7)\/t*t))\/(t\/(t**(2\/17)*t*t)))**27 assuming t is positive.\nAnswer: t**(5886\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6106647 and 10177745?\nAnswer: 30533235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000298559 to six dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 26*m = -48 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*w - 5*q, -4*w + 15 = -4*q - 29. Let a = 11 + -8. Suppose a*y + 6 = 2*m + 14, -5*y - 5*m + 5 = 0. Solve 3*k - h + 15 = 2*h, 4*h = y*k + w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, b: 1, j: 3, g: 2}. Give prob of picking 2 j, 1 b, and 1 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5466436*a**4 + 2*a**3*k + a**2*k - 3*a**2 + 2*a*k - 2668*k - 18 wrt a.\nAnswer: 131194464*a + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7399520 and 180.\nAnswer: 66595680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 155136096 divided by -19392012\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/4)*n**14*n**(3\/10)*n\/(n**21*n) assuming n is positive.\nAnswer: n**(-119\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -624 - -623. Is t at least 3\/860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*q - 3, 3*s + 2 = 2*q + s. Let c = q + 8. Suppose c = 3*g - 44. Calculate the least common multiple of 2 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - 171.92. Let p = -172.254 - f. Round p to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2235 and 11182599.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(4) - sqrt(144))*-3)\/((-1*sqrt(144)\/sqrt(3))\/(sqrt(4) + -3*(sqrt(64) + sqrt(4)))).\nAnswer: 42*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(-1 + sqrt(288) + (sqrt(2) + sqrt(2)*1 - sqrt(2)) + 4 + sqrt(2) + -2))**2.\nAnswer: 2016*sqrt(2) + 28296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.099354 + -21.12. What is l rounded to 4 dps?\nAnswer: -0.0206","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.07 - -0.48. Let p = u - -0.45. Which is the third biggest value? (a) 4 (b) p (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-4 - 7 - 18).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*g - 12, -4*u = 509*g - 507*g + 18 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -22*k. Let y(p) = 257*p. Give i(y(f)).\nAnswer: -5654*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -5, -3, 4, 3.\nAnswer: -66, -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 + (-10)\/((-15)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 6. Let h be x(9). Solve -4*l + 2*p - 5 = h, -5*p - 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1393315, -1393319, -1393323, -1393327, -1393331, -1393335?\n\"Answer: -4*k - 1393311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4776.04 (b) 3\/2 (c) 2\/5 (d) 6\/11 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c = -15*c + 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from cchhmchhmhcchh?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 + 3*s - 3. Determine n(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 6*i + 18. Let n be k(-8). Find the third derivative of 2930 - 38*j**6 - 21*j**n - 2930 wrt j.\nAnswer: -4560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 10 = -10. Let w = -7 + a. Let p be (-90)\/(-70) + 2\/(-7). Is p bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 + 6. Let k be d(0). Suppose 4*r - k = r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**4 - 8*f**3 + 1 - 197*f - 8 + 392*f - 196*f - 1 to the form u*f + t + m*f**3 + r*f**4 + i*f**2 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 5:59 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 475367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 - -67. Let f be 1\/j*-1 - (-15)\/12. Which is bigger: 47 or f?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(-9*q + 6*q + q**4 + q**4).\nAnswer: 6*q**4 - 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 83, 113, 135, 149?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-4)\/((-16)\/(-6)). Suppose 5*r - 4 = m*r. Find the third derivative of 0*x**2 - 5*x**r - 12*x**6 + 3*x**6 wrt x.\nAnswer: -1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 130921*r**2 + 2094928*r - 8379968.\nAnswer: -(r - 8)**2*(r + 130937)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -146\/3745 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40252*v**2 - 112775*v**2 + 15089*v**2 - 38373*v**2.\nAnswer: -176311*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4\/3, 196.7, -3, -0.3 in descending order.\nAnswer: 196.7, 4\/3, 0.2, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -950, -662, -176, 514, 1414, 2530, 3868, 5434?\nAnswer: 7234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01 and 65.8743?\nAnswer: 65.8643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = r. Suppose 0 = v + r*v - 117. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 7. Suppose -5*y + 2*y + 9 = 0. Let t be b(y). Put 1, -5, t in ascending order.\nAnswer: -5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, 1, 2\/169, -2\/1291, -2?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 5*x**2 + 3*x**2 + 0*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (990\/75 - 13)\/(1\/5) + 4451?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 4101049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 70*g**2 - 231*g - 1536. Calculate f(65).\nAnswer: 4574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 263213233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + 1*(sqrt(3564)*-2)**2) + 2.\nAnswer: 42785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s*w**3*z**4 - 2*s*w**3*z - 5*s*w**3 - 2*s*w*z**2 - 2*s*z**3 + 3*w**3*z**3 - w**3*z**2 wrt z?\nAnswer: 24*s*w**3*z - 12*s + 18*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2678)\/(-10) - (-7)\/35. Is 9\/(-15) + r\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 117 - 56 + j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 776, 1553, 2330, 3107?\n\"Answer: 777*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109*v**2 - 112*v**2 - 54*v**2 + 81*v**2 + 4*v**3 + 49*v**3 wrt v?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 bigger than 706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * 11\nAnswer: -14.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/657 - -5242\/4599. Factor -y*p - 8\/7 - 2\/7*p**2.\nAnswer: -2*(p + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 4*m**2 - 13*m - 2. Let z = -5 + -1. Let p be j(z). Let n(o) = 3*o + 1. Let a be n(-1). Sort a, -5, p.\nAnswer: -5, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3340 - 3339.5. Which is the closest to 4? (a) y (b) 4 (c) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + -6. Let f = x - -4. Let a = 3 - 1. What is the biggest value in a, -0.3, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -3)*6\/(-2). Let m(s) = -s**2 + 12*s + 15. Let n be m(11). Suppose -2*i = -z*h + n, 4*h - i = -3*i + 16. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/(-84))\/(-8)*60\/(-50).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bybbybybyyyyybbbyb. What is prob of picking 1 y and 2 b?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**6\/5 + i**5\/5 - i**4\/6 - 4*i + 6. Let m(o) be the first derivative of t(o). Factor m(x).\nAnswer: 2*x**2*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -241 + 464. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 19*z = 2*l + 16, -l = 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -442 divided by -26\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 862*h + 6768.\nAnswer: 2*(h + 8)*(h + 423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 c, and 1 d when four letters picked without replacement from vdddddvbbvdcbob.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(4\/18))\/(3\/3). Suppose 0 = -r*w + 1 + 17. Find the second derivative of -13*i + 21*i**w - 184 + 184 wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 155*i - 5. Let y(x) = -3*x**2 + 234*x - 8. What is 11*l(q) - 7*y(q)?\nAnswer: -q**2 + 67*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 18*v**2 - 128\/5*v + 81\/5*v**3 + 32\/5 = 0?\nAnswer: -2, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 4000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -1\/12*y**4 + 2\/3*y**3 + 4*y - 1\/2*y**2 + 0. What are the prime factors of p(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*m = 59 - 299 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + p + 2*p)*(-3 + 3 + 2*p) - 2 - 2*p**2 + 2 - 3*p**2 + 2*p - 2*p + 0*p**2 + 2*p**2 - 3*p**2 + 9*p**2 + 3*p - 3*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 8*r - 3. Let i be n(7). Let l be (-2)\/1 + -2 - (-5 - -10). Do l and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/15)\/(4\/6). Let j(s) = s**2 - 6*s + 4. Let w be j(4). Let o = 3 + w. Are l and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 504\/(-16)*30\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2 - ((-1372)\/(-154) - 11)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -406804 and 0.081.\nAnswer: -32951.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -32.7. Suppose 6 = -3*s + 2*n - 7*n, -3*n = 0. Which is the nearest to 0.1? (a) 2 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766309966 to the power of 1\/2, to the nearest integer?\nAnswer: 27682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 13*o + 16*o + 322 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3937, 2777, 1617, 457, -703?\n\"Answer: -1160*u + 5097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 2\/7 (c) 1 (d) 12949\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8249*c. Let q(o) = -7*o**2. Calculate q(s(v)).\nAnswer: -476322007*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b - 158 = -46*b. Solve c = -l - 0*c - b, 0 = -c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/4 + 613185*z\/4 + 459882.\nAnswer: 3*(z + 3)*(z + 204392)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.53 + 2.530000187. What is v rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a9 + 5?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 1 + 23 + 67*f to the form n*f + m and give n.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8154902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 1. Let g(p) be the second derivative of -17*p**3\/6 + 5*p**2\/2 + p. Suppose 1 - 21 = 41*m - 31*m. Give m*g(y) - 9*r(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/19213 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2)*o)**(-9\/11)*o**(-4\/5)\/(o**(-1)\/o) assuming o is positive.\nAnswer: o**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8881412 milligrams to grams.\nAnswer: 0.0008881412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198961, 397921, 596881, 795841, 994801, 1193761?\nAnswer: 1392721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**3 - 179*t**2 - 17*t - 2039 wrt t.\nAnswer: 6*t**2 - 358*t - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 264697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 295447, 2, 5 in descending order.\nAnswer: 295447, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 69*g + 3321. Does 89 divide c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -139 - -4189?\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 6122359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 22 - 2\/3*v**3 - 12*v + 11\/2*v**2. Let y be k(6). Is -18 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -2\/3 (c) 4865 (d) 8 (e) -10 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488 and 239519550?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13955 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 - 164. Solve 3*j = 5*g - 2 - 20, p = 3*j - 3*g + 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/2)\/(243\/324)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u + 55. Let c be y(19). Let a(j) = -j**3 - 2*j**2 - 3*j - 1. Let i be a(c). Let o be 102\/30 - (i + -1). Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-4)\/40)\/(42\/(-15)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 12, n: 1, b: 1}. Give prob of picking 1 b and 2 k.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30, 39, 48, 57, 66?\n\"Answer: 9*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2 - 4. Let h be 3 + -2 - 3\/j*-7. Suppose 2*r = h, 2*o - 48 - 156 = 5*r. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662476000?\nAnswer: 2, 5, 29, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 156808 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: Let v = 0.496 - 0.496. What is the nearest to v in -18, -2\/23, -0.5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 5 = 4*t. Sort -2\/7, 4, t, 7 in decreasing order.\nAnswer: 7, 4, -2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 180 - 53. Let q be ((-20)\/2)\/((-11)\/(770\/10)). Let s = k - q. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*40\/(-36)*-21*32\/448.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62592 divided by -7824.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113949, 227787, 341623, 455457, 569289, 683119?\nAnswer: 796947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 + 4 - (-9 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -636 - -1077. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 748 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(200) - sqrt(200)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-12)\/9)\/((-2)\/(-4713)))\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 15 - 14)*(-2*y - 1 + 1)*(303*y + 178*y + 297*y - 79*y).\nAnswer: 29358*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 17.\nAnswer: -88\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 5483?\nAnswer: 1\/5483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 8*l**2 - 4*l + 6. Let x(p) = -p**3 + p**2 - p - 1. Let j(g) = n(g) + 2*x(g). Let d be j(4). Suppose 3*z = 196 - d. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -2. Let x = 8 - 6. Let f = -3\/668 - -126\/167. Which is the second biggest value? (a) o (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-6))\/(6\/(-18)). Let t(n) = n**2 - 6*n + 3. Determine t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + b**3 - b**2)*(5 - 12 + b - 1).\nAnswer: b**4 - 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.01, 6, 2\/11, -4, 542, -5?\nAnswer: 542","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k\/(k*k*k**(1\/8)\/k*k))\/k))\/k)\/k*k*k**(-3\/7))**(12\/7) assuming k is positive.\nAnswer: k**(285\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + s - 1131 = 0, -27*t - 2*s = -30*t + 1686. Calculate the highest common divisor of t and 1020.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1070*p + 1070*p - 6*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q + 3*p - 20 = 0, -5*q = p - 10. What are the prime factors of q\/4 + 1317\/12?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 + 29*f.\nAnswer: f*(f + 87)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5103, -10204, -15311, -20424, -25543?\nAnswer: -30668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1017277*b**3*h**3 + 2*b**3*h**2 + 339024790*b**3*h + 181*b**2*h**3 wrt h?\nAnswer: -6103662*b**3 + 1086*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 - -3) - 522\/(-162)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 412.603 - 413. Let t = i - -0.39. Round t to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3533257451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**2. Suppose 0 = -25*n + 17*n - 48. Let z(s) = -s + 6. Let w(d) = 2*d - 11. Let l(u) = n*w(u) - 11*z(u). Calculate l(m(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 12*j**3 - 3*j - 44*j**3.\nAnswer: -32*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.547127134 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/9 - 2*o + 40\/9 = 0.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**10*((v*v\/v**(2\/5))\/v)\/v assuming v is positive.\nAnswer: v**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2281077149 and 1.24.\nAnswer: -2281077147.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44066 and 528?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2834 = 5*f + i, 0 = -2*f - f + i + 1694. Let x be (1 - 0)\/(6\/f). Let l = -809\/6 + x. What is the common denominator of -85\/6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9458359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 16*l + 119. Let g be k(-8). Sort g, 272, 2 in decreasing order.\nAnswer: 272, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(99) - 1*(sqrt(99) + 0))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o - 27. Suppose 289 + 56 = 3*q. Suppose o*d - q = 4*d. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282 divided by 141.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**6\/120 - f**5\/12 - f**4\/24 + 7*f**3\/6 - 4*f**2. Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 86980*u**2 - 21968025*u.\nAnswer: 5*u*(u - 249)*(u + 17645)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -201, -403, -615, -843, -1093, -1371?\n\"Answer: -p**3 + p**2 - 198*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35997 minus 24?\nAnswer: -23.64003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -66\/11375 and -83\/652470.\nAnswer: 16311750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901718179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31758 and 603?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 58*t - 9. Determine d(-28).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {n: 2, h: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -52. Let s = 4\/11 + -67\/33. Is s != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y - 2*y)*(3*y**2 - 44*y**2 + y**2) + (-49*y + 49*y + 21*y**2)*(3 - 2*y - 3).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*((sqrt(180) - (-2*sqrt(180) + sqrt(180)))**2 + -2 - (sqrt(60)\/(sqrt(12) + 1*sqrt(12)*-5 + sqrt(12) + sqrt(12)))**2).\nAnswer: -14327\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 + 11783*z**2\/2 + 17678*z + 11786.\nAnswer: -(z - 11786)*(z + 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a12 - e2?\nAnswer: 4920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 28*w**2 + 0 + 32*w**2 + (0 + 0 - w)*(-w + 3 - 3) - w**2 - 2*w**2 + 4*w**2)*(-5 + 2 + 8) + 4*w**2 + w**2 - 4*w**2 as b*w + f + k*w**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**10))**36*(p\/p**7)**(-22) assuming p is positive.\nAnswer: p**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. Let x(b) = 65*b**2 + b. Let s be x(1). Suppose 21 - s = -5*y. Let d(c) = -3*c - 4. Let a(q) = 7*q + 9. Give f*a(o) + y*d(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 + -10 + (-2)\/2. Suppose -2*s - 5*u + 203 = -51, -4*s + u + 508 = q. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 74*a - 1348. What is s(14)?\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6157 - -12309. What are the prime factors of o?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 2)*(-1468262*f - 2*f**4 + 1468262*f + 919) to the form j + y*f**2 + i*f + l*f**3 + w*f**4 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687003142 to the power of 1\/3, to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11408134.000001 - 11408125. Let g = r + -9. What is g rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4091 + 4123. Calculate the remainder when (2\/(-5))\/(1\/(-390)) is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/42410 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -0.8 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4010*a + 23979. Calculate o(6).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 - 2. Let x = 33.33 + 0.67. Let d = x + -38. Sort 0.06, d, r in increasing order.\nAnswer: d, r, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 969286.3us?\nAnswer: 969286300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1160575 = q, 3*q = -5*m + 1789718 + 1111716. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -4, -1, 0 in increasing order.\nAnswer: -4, -1, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14718156*p**2 - 44191*p + 31?\nAnswer: 29436312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (2 - -4) - 3) + -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/6 + 5 + 9. Suppose u*k = 9*k + 12. Solve 2*w - q - 12 = 0, w + 3*q = 3 - k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001411337 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-112 + 4)*(-862)\/6 - (-439 - -436)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67005 and 492?\nAnswer: 10988820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 838*t**4*y**2 + 4*t**4 - 81*y**2 - 2*y with respect to t.\nAnswer: 3352*t**3*y**2 + 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 + 17*v + 52. Is 49 a factor of q(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b + 9. Let s be x(-6). Calculate the remainder when ((-174)\/4)\/(s\/24*2) is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in 0.65, 0.5, 1, 3, 117?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1395, 1257, 1119, 981?\n\"Answer: -138*y + 1533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**3 - 9*n**2 - 2*n - 4. Let u be c(-4). What is the highest common factor of 208 and u?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -0.3 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 203\/1650 and 127\/1506.\nAnswer: 414150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19925331 by -19925331.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 + -2. Let w = -1.2 - 0.92. Let x = 0.12 + w. Is f < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -13 - (-679 - -715)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1592\/28 + -50\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4 - 812272*b**3 + 82599031308*b**2 - 25547184992080*b + 1978395591590450 = 0. Calculate b.\nAnswer: 155, 202913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + -820?\nAnswer: -7b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-2\/55)*((b\/b**2)\/b)\/b**(-9) assuming b is positive.\nAnswer: b**(387\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.107.\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4844*c - 11898. Is 15 a factor of p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/196 or -10\/9?\nAnswer: -3\/196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 433149 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*m**2 - 202 + 91 + 111 - 613*m**2.\nAnswer: -1042*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -4*l + 2, -4*y + 6261*l + 12 = 6259*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(24) - ((sqrt(72)*-2)\/sqrt(3) + sqrt(24))))\/(3*(sqrt(12) + sqrt(192))*-5).\nAnswer: -2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c - u = 4, -8 = 4*u. Let g be 8*(c + (-9)\/6). List the prime factors of (11 + 2)*3\/12*g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 646, 1292, 1938?\nAnswer: 2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a millennium in years?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*o + 5*o - 3, 5*o = -4*v + 15. Put v, -1, 13 in decreasing order.\nAnswer: 13, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -9) + -7 - -10 - 26 - -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32 - -77?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*g**2*l - 9*g*l*s + 1073*g*s - g + l*s - 11*l - 4443*s - 10 wrt g?\nAnswer: -44*g*l - 9*l*s + 1073*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1407, 2809, 4209, 5607, 7003, 8397, 9789?\n\"Answer: -v**2 + 1405*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (4 - -11) - -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n**2 + 19*n. Let j be m(-4). Solve -26*d - 31*d**3 + 5*d**4 - 14*d**2 - 3*d**4 + j*d**3 - 35*d**3 - 12 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-289))\/(287\/(-112217))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143284 or -142999?\nAnswer: -143284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 48*g - 16. Let l be p(2). What is the second derivative of 80*f**2 - 159*f**4 + 45*f + 97*f - l*f**2 wrt f?\nAnswer: -1908*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 16. Sort t, -1, 2 in decreasing order.\nAnswer: 2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amampaafafflampf. What is prob of sequence af?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 17\/5 (c) -5 (d) -158 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 2510*r + 32 = -2505*r, 2*u + r = 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -9. Let d(u) = -3*u + 7. Let m be d(i). Let p = -19 + m. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + 9 - (5 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.5, -4, 4, -10\/93?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116949 and 1302.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 186*c**3 - 8*c**2 + 675*c + 3. Let k(z) = 371*z**3 - 19*z**2 + 1351*z + 7. Let i(f) = 7*j(f) - 3*k(f). What is the third derivative of i(h) wrt h?\nAnswer: 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2944205 + -1602705. Round u to the nearest 10000.\nAnswer: 1340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 5:36 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55828262?\nAnswer: 2, 7, 3987733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118384\/9 + 13080. Let g = x - -74. What is the third smallest value in g, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 3028918.\nAnswer: 1211567.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1526 - 1506. Solve p*i = -65 - 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*u**2 + 775 - 775 + (3 - 3 + u)*(-u + 15*u + 2*u).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*n + 2*n + 13*n - 21*n as w + x*n and give x.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (0 + -1)) + 33 + (-36 + 6 - -50)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 k when four letters picked without replacement from szslrrkukzskssksl.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(36\/(-103)) - (-5)\/4. Solve 37*h + 10 + d = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2986481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*m**2 + 4580*m + 2288.\nAnswer: 4*(m + 572)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 3 + x + 0*x - x**2 - 3*x. Let h be k(4). Suppose 5*t + l = 398, -4*l + 249 + 143 = h*t. Calculate the greatest common factor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011350474 rounded to 7 dps?\nAnswer: 0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2100 - -9.\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2. Let n = -5 + 1. Let o = 1 + n. Determine t(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**3 - 5*f**2 + 5*f + 3. Let j be 1 - (1 + 0)*-1. Suppose 4*k = -5*n, -2*n = j*k - 4*k - 18. Is s(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 8) to base 10.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 2*v + 2. Let w be c(-3). Suppose 8 = -w*m + 28. Suppose 0*d = -5*b + 2*d + 22, 4*b + m*d - 12 = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.433823 decades?\nAnswer: 44.33823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 767 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -20*1 - (-7 + 7). Let y be 3 - (h + (-2 - -3)). Suppose 2*b = -g + 4*g - y, -36 = -5*g + 3*b. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -639 + 672. Calculate the remainder when 554 is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 115*j - 571. What are the prime factors of x(22)?\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*i**3*y - 3*i**3 - 547823*i**2*y**2 - 2*i*y**2 - 73*i*y + 2364*i - 6*y**2 - 2 wrt i.\nAnswer: 66*i*y - 18*i - 1095646*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in -2, 389, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 881126 and 189484.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -22*o + 378. Let q be f(17). Which is the nearest to -0.7? (a) q (b) 1\/11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-26) - (-17400)\/130. Suppose 4*u + 204 = -0*u. Let r = u + n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 139 = r, -5*o = r - 5*r + 182. Let y = 72 + o. Let s(z) = 3*z - 16. What is the remainder when y is divided by s(12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 45 = 18*s. Let t be (s\/4)\/(-2 + -4). Which is the nearest to 0? (a) -1 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 12 + 12. Suppose 3*x - 52 = -4*y, f*x + 39 = 3*y + x. Suppose -y*w + 15*w = 68. What is the smallest common multiple of w and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgxxhbxgux. Give prob of picking 1 u and 1 b.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -57338880 greater than -57338878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.4, -1\/224, -11, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -1, 4, 499 in descending order.\nAnswer: 499, 4, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 19*d + 20. Calculate the smallest common multiple of k(-18) and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 1751?\nAnswer: 19261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9523, -26653, -55203, -95173?\n\"Answer: -5710*a**2 - 3813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 53331, 107040, 160749, 214458, 268167, 321876?\n\"Answer: 53709*i - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41990189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5291248471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90761, -363043, -816847, -1452173, -2269021?\nAnswer: -3267391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (1 - -5) + -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 192479773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*o - 1832, -4*o + 3*o - 2769 = -6*b. Which is smaller: 466 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 209\/(-22)*(368\/23 - 18).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-3 - 3) + -3 + 14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i - 16*i - i**2 + 14*i - 8*i.\nAnswer: -i**2 - 33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 13*n - 11*n. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from kkkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 61 = -5*g, 5*a + 2*g - 144 = -2*g. Suppose a = -5*w - 3*r, -5*w + r - 16 = 8. Let m(t) = 4*t**2 + t - 13. What is the units digit of m(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2210122212 (base 3) in base 6?\nAnswer: -1103205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29533 is divided by 165?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 > -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*y - 9594 = -1072*y - 194*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -53. Which is smaller: -1\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3 + 0*s**6 + 0*s + 0*s**4 - 3\/7*s**7 + 2 + 0*s**2 + 0*s**5. What is the third derivative of k(g) wrt g?\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 10*j - 7. Let p be u(-11). Solve -39 = -7*f - p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-5) + 5 + 1. Solve 5*s = 3*f - 26, 0 = -n*f + s - 2*s + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*l**4 - 13*l - 593?\nAnswer: 40*l**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -1255 + 2512 - 1250 + 7*r. Let n(g) = -20*g - 20. What is 4*n(w) + 11*p(w)?\nAnswer: -3*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 117 (c) -170\/7 (d) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + (-2 + sqrt(125))**2 - -1*(sqrt(125) + 2 + sqrt(125))**2 - (0 + sqrt(125)*1)*4).\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o**2 + 10*o + 72. Let u(d) = 14*d**2 - 15*d - 107. Let h(j) = -8*i(j) - 5*u(j). What are the prime factors of h(-14)?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 24. Suppose -55*r = -d*r. What is the smallest value in 2\/9, 8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 1 + sqrt(539) + -3 + 1 + sqrt(539) + 4 + (0 + sqrt(539))*-6*-5)**2 + 2.\nAnswer: 1386*sqrt(11) + 586982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4839 - 4847 + 109*n + 19418 - 4892 - 4840.\nAnswer: 109*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(152) + 2*sqrt(152)*-4)*6)\/(-2*sqrt(288)*3 - ((3*sqrt(288)*2 - sqrt(288)) + sqrt(288))).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 6*m + 6. Let h be g(-7). Let r = h + -10. Suppose -99 = -r*v - 3*y, -4*y + 10 = y. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (sqrt(19) + -1)**2 + sqrt(190)\/(sqrt(10) - sqrt(40)).\nAnswer: -3*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113.1 + -136.1. Sort -5, -2, p in decreasing order.\nAnswer: -2, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 237437813 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/15 and 187\/3900?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4*1*sqrt(17)*-1)**2 - sqrt(102)\/(sqrt(6) + (sqrt(6) - sqrt(18)\/sqrt(3))*-6)).\nAnswer: -544 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1610 + -1610. Let s(p) be the third derivative of 1\/30*p**5 + 0 + 7*p**2 + h*p**4 + 0*p**3 + 0*p. Let c(z) = 2*z. What is s(c(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/9 - (-12)\/(-6). Suppose -2 - 2 = 4*x. Does x = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -2\/9, -1, -3\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68) - (sqrt(68) + -1 + sqrt(68) + -1))*-5*-1)**2.\nAnswer: -800*sqrt(17) + 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:44 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 16 = 4*z - 33, 0 = z - 1. Let b = s + 54. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 + 230 = 2*z + i, 0 = -5*z + i - 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*n + 2965 = 47765. Calculate the greatest common divisor of 525 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2. Let w(l) be the third derivative of -l**4\/24 - 10*l**2. Calculate h(w(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.162 + -0.132. Let v = 15 - 23. Let p = 8.5 + v. Which is the third biggest value? (a) -4 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5, -2*r - 12*a + 143 = -15*a. Calculate the highest common divisor of 8 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(52) + -5*sqrt(78)\/sqrt(6))**2 + (2*(sqrt(91) + sqrt(91) + (sqrt(91) - sqrt(91)*-2)))\/sqrt(7)*-3.\nAnswer: -36*sqrt(13) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 18 = -3. Suppose -27 = -u*b + 3*q + 138, -5*b + 281 = -3*q. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 70*d**4 - 136*d**3 + 54*d**2 + 20*d - 8. Let z(b) = 23*b**4 - 45*b**3 + 18*b**2 + 7*b - 3. Let h(w) = -3*l(w) + 8*z(w). Determine s so that h(s) = 0.\nAnswer: -2\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 4*n - 3, -5*n = k + 35. Let m = k + 14. Find the common denominator of 113\/20 and (-10)\/(-3)*60\/m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 48 = -2*i. Suppose -152 = -62*b + 24*b. Suppose b*c = -i, 4*y - 2*c = y + 228. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49259?\nAnswer: 7, 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53553325 (base 7) to base 6.\nAnswer: 241523401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - 2*q**3 - q**3)*(0 + 0 + 1)*(0*q - 3*q + q)*(-2 - 3 + 3).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2123 is divided by 681.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(396))**2 + 3.\nAnswer: 9903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 342630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 + -10)\/(1*-1). Suppose -j + 3*j = -5*d + f, 2*j - 10 = -2*d. Suppose -4*c + 11 = -5. What is the smallest common multiple of j and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 1497082982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 9 = p, p - 3*p + c - 2 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-5 + 8) + 1085\/93.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4795*z**3 + 4845*z**3 + 0*z**2 + 2*z**2.\nAnswer: 50*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**5\/5 + 3*v**4\/4 + v**2\/2 - 6*v. Let d(n) = -n**3 + 2*n**2. Calculate -9*d(c) + 2*o(c).\nAnswer: c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 7:34 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l + 116 = 0. Let g = l + 70. Let w = -25 - -46. Calculate the remainder when g is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*f - 648*f = -197*f - 198*f + 646 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3898 + 5*f - 2*f**4 + 3870 - f + (-5*f**3 - 2*f**3 + 5*f**3)*(f + f - 4*f) to d*f**2 + y*f + b + z*f**4 + p*f**3 and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((24 - (37 + -18 + -41)) + 15).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*j - 37*j = 4*r - 12, 5*j - 25 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 67 = -4. Let p be 22\/6 - (-28)\/c. Suppose 5*y = -3*l + 220, -4*l + 6 = -p*y - 334. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/(2\/30). Suppose -2*d = 5*v - 0 - 3, 5*d - z*v - 60 = 0. Suppose 0 = -3*w + d - 6. Sort -2, w, -5 in descending order.\nAnswer: w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436638110 rounded to the nearest one million?\nAnswer: -437000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 3*v - 3. Let d be w(2). Let a(q) = q**3 - 6*q**2 + 6*q + 4. Let g be a(7). What is the greatest common divisor of g and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 4. Suppose 4*d + 146 - 154 = 0. Suppose 0 = 31*h - f*h - d. Solve -5*b + q = -2*b - 18, -4*b = h*q - 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from ugvu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 10*u - 4. Let t be z(9). Let y(r) = r**3 - 5*r**2 + r - 3. Let s be y(t). Let q(l) = -s*l - l + 6*l. Let f(k) = -k. Calculate f(q(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.116281*1.\nAnswer: 3.116281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 9*m + 4. Let z(f) = -3*f - 7. Let r be z(m). Solve r*u + 1 = -4*v + 9, v + 15 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 + 6*i**2 - 13*i - 5. Let h(c) = 3*c**2 + 6*c + 4. What is the remainder when x(3) is divided by h(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*n + 4 - 3, 3*t + 7 = -2*n. Let l be -5 - -4 - t\/(2\/8). Solve 0 = s - l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 211 and 1477?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/17 + 2820*w**2\/17 - 5742*w + 49096.\nAnswer: 2*(w - 17)**2*(w + 1444)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 2) to base 5\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 14. Suppose -4*l + 12 = -l. Calculate the smallest common multiple of r(0) and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1056, 0 in decreasing order.\nAnswer: 1056, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27401271 is divided by 683?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1568*f + 1073*f + 87153 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 8:02 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**5\/4 - j**4\/6 + j**3\/6 + 15*j. Is g(-2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 30 = -2*y, -5*c - 3*y + 4*y - 50 = 0. Let a(z) = -z**2 - 14*z - 23. Give a(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*(r\/(r*r*r*r**(-1)))\/r*r*r)**35)**(-49))**34 assuming r is positive.\nAnswer: r**(-116620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -47, -29, 7, 67?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23, -1\/4, 0, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((17 + 21 - 45) + -10)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3*o - 13431836*g**3 - 6449*g**2*o - 7*o**3 with respect to o.\nAnswer: -g**3 - 6449*g**2 - 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 41. What is the tens digit of (q\/(-4))\/((2 + -1)\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)*n*n**(2\/19))**(2\/39)\/(n**(1\/6)\/n**(-2\/13))**(-5\/8) assuming n is positive.\nAnswer: n**(14627\/59280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -37072126 divided by 54041?\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/106 at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 223160283 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*n**4 + 6*n**3 + 3183*n**2 wrt n?\nAnswer: 168*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + (0 - 115))*1. Let s = k - -122. Sort 3, s, 7, 4 in descending order.\nAnswer: 7, s, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33860880*w**2 - 45554*w - 78 wrt w?\nAnswer: 67721760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 3*z**2 - z**2 - 11*z**4 + 12*z**4 + 1 to u + h*z + g*z**3 + w*z**4 + q*z**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-10))\/((-1638)\/624)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10\/21*o**4 - 4\/21*o**3 + 2\/21*o**5 + 2\/21*o + 20\/21*o**2 - 10\/21 = 0. Calculate o.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -258 + 431. Is 25 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1570*g = -1625*g + 605 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 + 3*l - 3. Let i(k) = -3*k**2 + 2*k - 2. Let d(h) = -3*i(h) + 2*j(h). Let b = 3858 - 942. Let r(s) = 2916 - s - b. Calculate r(d(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 21*a**2 - 2*a. Let d(p) = -41*p**2 + 5*p + 1. Give 2*d(l) + 5*u(l).\nAnswer: 23*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((44\/72)\/11)\/((-4)\/(-48)*4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/13? (a) 2\/7 (b) 3 (c) 1\/6 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -344223323?\nAnswer: -344223332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -32*p - 1212. Let t be v(-38). Solve t*b - 5 = h, -h = -2*h + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2308 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 215*r**4\/6 + 5843*r**3\/6 - 8*r**2 + 398*r. What is the derivative of g(u) wrt u?\nAnswer: 860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -728 (base 12) to base 10\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 21.9. Which is the closest to d? (a) 1\/6 (b) -2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 152556\/(-96) + (-1)\/(-8). Let k be (96\/(-56))\/((-2)\/t). Does 14 divide (-8)\/(-6)*k\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/16*-2*(-2)\/(-10)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + y + 15, 3*t + 2*y = -y. Suppose -t*v - 4*u - 2 = 0, -4*u = 2*v - 4*v + 16. Suppose -3*x + 35 = v*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 11. Suppose -b*l = z - 16, 6*l - 36 = 2*l - 5*z. Factor j**5 + 2*j**3 + 2*j**2 - 5*j**3 + l*j**4 + 8*j**3.\nAnswer: j**2*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -270, 1 in ascending order.\nAnswer: -270, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3578 divided by 101666.\nAnswer: 1789\/50833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 209*r**2 + 311*r + 208. Let s be d(-103). Solve 8*q + 7 = 6*q + 3*j, 27 = -5*q - s*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4402 (base 7) to base 10.\nAnswer: -1570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -480, -1037, -1796, -2745, -3872?\nAnswer: -5165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -16, -34, -52, -70, -88?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 585399047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/80 - (-63)\/195)*-1\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 318169 = -4*i - 318249, 3*i + 51 + 39 = -5*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16216678, -32433426, -48650174?\n\"Answer: -16216748*q + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332 (base 5) to base 8.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f - 591 - 67 = -0*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 10 = 0, 0 = -15*a - o + 42 + 218 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 10 = 2*w, -18*m + 14*m + 4 = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18783\/1955 + -3\/391. Let h = 10 - x. Let f = 0.4 + -5.4. Which is the smallest value? (a) 1\/4 (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -92. Let q = 650\/9 - v. Suppose -2*x = 2*x - 4. What is the closest to 1 in x, -4, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2\/4 - 1153917*r\/4 - 32319084 = 0. Calculate r.\nAnswer: -112, 384751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31799, -31762, -31725, -31688?\n\"Answer: 37*c - 31836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 1010*u**4 - 36364*u**3\/9 + 45466*u**2\/9 - 18200*u\/9 + 8\/9 = 0.\nAnswer: 2\/4545, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1160 divided by -63\nAnswer: 1160\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 64*q - 12. Calculate o(-24).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521 - 529 = -4*o. Solve o*a = 5*u - 16, 0 = -2*u - 2*a + 3 + 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -305.33?\nAnswer: -305.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**2 - 335 + 7*g**2 + 690 - 356. Let m(a) = -3*a**2 + a - 12. What is -2*c(j) + m(j)?\nAnswer: -j**2 + j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -151*c*f - 2*c + 97*f wrt c.\nAnswer: -151*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507014421.\nAnswer: 3, 169004807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1400515 is divided by 350127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(275) + -2) + -5 + sqrt(704) + 1 + sqrt(44)\/sqrt(4)*-3 + (sqrt(110)\/(sqrt(10)*-2) - (sqrt(33)\/sqrt(3) + sqrt(11) + 2))**2.\nAnswer: 259\/4 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889 = -54*w - 24*w - 31 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4\/15)*q)\/q)\/(q\/q**41)*(q\/((q*q**(-27)*q)\/q))**(-18) assuming q is positive.\nAnswer: q**(-6679\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 5*l + 5. Give x(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 15261?\nAnswer: 15257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3) + -4 + 14. Let z be (264\/110)\/(4\/l). Let j(n) = -4*n - z*n + 11*n + 0*n. Let q(w) = -11*w. Determine q(j(u)).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1016615 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a + -1?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*t**3*y**2 - 5*t**3*y - 26743*t**3 - 1570589*t*y**2 + 2*t*y + 56*y + 2 wrt y?\nAnswer: 108*t**3 - 3141178*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2204174 and 123830?\nAnswer: 11020870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**4\/12 - z**3\/6 - 3*z**2\/2 - 4*z. Let d(r) be the first derivative of j(r). Determine d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1880 + -1874. Solve -22*x - f = -21*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8471, -8578, -8765, -9038, -9403?\n\"Answer: -g**3 - 34*g**2 + 2*g - 8438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -553973*x + 554173*x + 23800 for x.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/12)\/(10\/15). Suppose -3*r + 12 = 0, t = s*r - 5 + 2. Suppose 3*v - m = -t*m + 6849, 3*m + 11444 = 5*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 8:09 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*l - 264 = 0. Let y = l + 90. Let o be y\/(492\/165 - 3). What is o rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 933\/78 - (29 - 939\/33)*22\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 270?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-2)\/3 - -1*(-404)\/68.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 45*w + 151. Let d(g) = -3959*g - 13283. Calculate 8*d(z) + 703*u(z).\nAnswer: -37*z - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48696 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*k + 9199984, -3*k + 6*k - 4599988 = g. What is g rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 21*f - 8. Let x(g) = -5*g - 2. Let w(r) = -2*s(r) + 9*x(r). Let y(v) = -v**2 - v. Let m(h) = w(h) - 3*y(h). Give m(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -917088465 less than 2823?\nAnswer: 917091288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294\/33 bigger than 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2916 divided by 6\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2939*k**2 + 4*k - 250. Let z(r) = -r. What is y(z(h))?\nAnswer: -2939*h**2 - 4*h - 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 360081948 to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/9 - 40*s**3\/9 - 200*s**2\/9.\nAnswer: -2*s**2*(s + 10)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*l - 35 - 27*l + 34 + 5*l in the form k*l + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*g - 16666 - 4142 = -21*g for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**4\/60 - w**3\/2 + 8*w**2\/5 - 4*w + 12. Solve t(b) = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*z**3 - 11*z**3 + 5*z**3 - 14*z**3.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/25)\/c)\/c)\/c)**13\/(c\/c**(-8)*c**(-32)) assuming c is positive.\nAnswer: c**(-426\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*q + 25 - 54 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**4\/24 + 7*k**3\/6 + 4*k**2. Let y(t) = t**2 - 11*t. Let s be y(11). What is h(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 10. Let z be j(-6). Suppose -4*a + 3*a - z = 0. What are the prime factors of (-62)\/(-22) + a\/(-121)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 plus 41722032?\nAnswer: 41721980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {q: 2, r: 4, x: 1, k: 10}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(66) + (sqrt(66) + (sqrt(66)*-1 - sqrt(66)) - sqrt(66)) - sqrt(66)))\/(sqrt(275)*-2))\/((-5*sqrt(36))\/sqrt(12) + sqrt(3) - sqrt(600)\/sqrt(2)).\nAnswer: sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-96)\/(-28)*(6 - -743)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 20625?\nAnswer: 20625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -7. Let b(s) = s**2 - 2*s - 16. Let r be b(v). Which is smaller: -7\/4 or r?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400211 - 4340?\nAnswer: -410101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5168798.2+-892082\nAnswer: -6060880.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 873 by 3.\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2 = -4*b, 2*v - 3 = -3*b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 - -139. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4464846647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000029144599 to seven decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2334570 divided by -6\nAnswer: -389095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 2*b)*(2 + 0 - 7) - 2*b + b + 0*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-3) + 15\/4. Put -4, 1\/2, -1, i in decreasing order.\nAnswer: i, 1\/2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/120 - 4*n**5\/15 + 3*n**4\/4 + 11*n**3\/2 - 36*n**2 + n. Let o be f(14). Is o not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -302*((-271)\/(-2) + 3). Let q be c\/28*(-12)\/394. Let t = q - -4\/1379. What is the common denominator of t and 41\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let m(q) = -139*q**2. What is z(m(v))?\nAnswer: -139*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.42995 and 0.08.\nAnswer: -3.34995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -31\/4. Let x(n) be the second derivative of 0*n**2 + 0 + f*n**4 + n + 1\/3*n**3. Find the second derivative of x(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -3.84089.\nAnswer: -3.74089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s = -37*s + 8370. Calculate the remainder when s is divided by 37.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 1 (b) 4\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 168577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 - 160. Let w = 67 + x. Let q(s) = -105*s - 31. Is q(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -4*p + 2088 - 2128, -5*p - 5*d - 50 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 9*d - 2. Let v(k) = k**2 + 5*k + 1. Suppose -594*s - 1386 - 688 = 302. Let t = -1 - 6. What is s*f(w) + t*v(w)?\nAnswer: w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 9)*(50*z**2 - 183*z**2 - 92*z**2).\nAnswer: -1575*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 4, -4, 8, 32 in descending order.\nAnswer: 32, 8, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 4*u - 8, 0*s = -2*s + u + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41506*o**5 + o**4 + 2*o**3 + 1020378*o wrt o.\nAnswer: 830120*o**3 + 12*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6250 at least as big as 6254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -33?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 29*d - 2 + 33*d as k + h*d and give h.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15068536981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - 623*h**2 - 84*h + 70624. Determine k(-311).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*u + 134. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -748*w**3 - 56*w**2 + 955440*w?\nAnswer: -4488*w - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 290867477 to the nearest integer?\nAnswer: 17055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6877 and 11086.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273889?\nAnswer: 7, 11, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x + 50628 = 13668. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 14) to base 8\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30110*l**2 - 219706*l**2 - 368668*l**2 + 118657*l**2.\nAnswer: -439607*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3280 = -o. Suppose 0 = m + m - o. Round m to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65611591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/((-495)\/90). What is the second smallest value in n, -0.11, 5, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, -4, -2.\nAnswer: -201, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139.7 + -6.7. Let o = 133.04 - l. Which is the fourth smallest value? (a) 0.4 (b) 2 (c) o (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -2*i - 15, -2*i + 206*b - 35 = 201*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - -3.6. Let v = 100117 - 100121. Let r = 5 + -5.4. Which is the third smallest value? (a) v (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 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 c(j) be the second derivative of 17*j**4\/12 + 13*j**3\/6 + 15*j**2\/2 + j. Let f(s) = -8*s**2 - 6*s - 7. Suppose 13 = 5*z - 17. Determine z*c(m) + 13*f(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 15) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i + 9. Let j be g(0). Let m(k) = -1 - 2*k - 2*k + j*k. Suppose -4*b - 9 = -b. Let h(z) = 9*z - 2. Determine b*h(s) + 5*m(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1018 or -1?\nAnswer: 1\/1018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -28 + (-1 + 1 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 92?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/2)\/(-60)*6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38.2 (b) -1328 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 + 3*p - 14*p**2 + 6*p**2 - 4*p**3. Let g(q) = -5*q**3 - 6*q**2 + 4*q. What is -5*g(x) + 6*k(x)?\nAnswer: x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 56526, 113526, 170526?\n\"Answer: 57000*q - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 2*x - 15. Let q be a(4). Suppose -2 + q = o. Solve 0 = c + 5*u + o - 0, -5*c + u = -17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-19)\/((-19)\/(-16)))\/(-2). Is ((-2)\/c)\/((-1)\/12952) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01905 and -32?\nAnswer: -0.6096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*r = -44*r - 8091. What is the greatest common factor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:44 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvqq when four letters picked without replacement from {v: 5, q: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -236.06 + 236. Let p = -0.02 + 0.02. Is t equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1387*c - 3897*c - 7210*c in the form a*c + i and give a.\nAnswer: -9720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 + f**2 - 2*f**2 + f**3 - f**2 to the form u*f + y*f**3 + x + s*f**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/7 (b) 1 (c) 0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 66*y - 26. Let h(a) be the second derivative of 0 - 5*a + 1\/6*a**y + a**2. What is h(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 27. Suppose 7*q - 633 + 59 = s. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1180 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0*c + 27. Calculate the remainder when c is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -90*(-84)\/(-175)*10\/(-4). Let j = i - 112. Is j greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -100.318?\nAnswer: 300.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.24 - -0.299. Let s = 0.83 + k. Let m = -0.174 - s. What is m rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140801076 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 475434 and 16836?\nAnswer: 21869964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.92 - 15. Let l = -5.92 + k. Let y = l + 3. Which is the closest to -1? (a) 3\/5 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s - 5. Let h be p(2). Let q(i) = i**2 + 6*i - 4. Let v = -15 - -8. Let t be q(v). Solve 0 = -t*a + h - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47652 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -4*r**6\/15 - 4*r**3\/3 + 29*r**2. What is the derivative of v(g) wrt g?\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277798 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61480662?\nAnswer: 2, 3, 10246777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 28 + 24. Put 2, -12, b in descending order.\nAnswer: b, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -720, -1717, -3004, -4587, -6472, -8665?\n\"Answer: -i**3 - 139*i**2 - 573*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**3 + 146*h**2 + 68*h - 117. Give l(-36).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3 + 1 + (sqrt(75) - (sqrt(75) + (sqrt(75) - 2*(sqrt(75) + -1 - sqrt(75)) - sqrt(75)))) + sqrt(75)*-1*-5)*6)**2 + 3.\nAnswer: -7200*sqrt(3) + 68080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/245 and 11\/245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 13. Suppose -4*q + 2*i - 24 = -i, i + 5 = -3*q. Let u be (q - -2)\/((0 + -3)\/(-3)). Put u, -5, r in increasing order.\nAnswer: -5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1044 + 1230 - 630 - 267 + 627)*(2 - 2 + 6*r).\nAnswer: 12024*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z = -13*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n - 6 = 0. What is the fourth smallest value in -24, n, 2\/9, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*b - 32 = 40, 144 = -4*n - 4*b. Let i = n + 43. Suppose -3 - 25 = -i*m. Solve 8 = -4*y - m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-145)\/(-2262)*26)*(-2)\/((-12)\/(-70)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2716294?\nAnswer: 2, 7, 17, 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 27*q**2 + q - 1. Let r(b) = -28*b**2 - 2*b + 1. Give -6*n(o) - 5*r(o).\nAnswer: -22*o**2 + 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 43 = 4*w, -w = -8*u + 13*u + 49 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*2*-4 - (sqrt(63)*-1 + -4))**2 - ((0 + -1 + sqrt(1008))*3 + 4).\nAnswer: -204*sqrt(7) + 3102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.885 - -1.636. Let u = -0.726 + p. Which is the nearest to -1\/4? (a) -2\/13 (b) 0.2 (c) u (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118.5 - -119. Which is the nearest to 6? (a) -3 (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n - 25*n**3 + 8 + 24*n**3 - 107.\nAnswer: -n**3 - 10*n - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.005 + 9.495. What is the third smallest value in a, 0.5, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3513627*n**3 + 16*n**2 - 42*n + 21 wrt n?\nAnswer: 21081762","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let y = -109 - -109. Let o be -5 - (y - -1)\/(11\/(-55)). Solve o = -28*x + 30*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, -1 in descending order.\nAnswer: 5, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357 + 8*h + 21*h - 7*h + 359.\nAnswer: 22*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*w**2 + 1 - 1 + 203*w - 205*w.\nAnswer: -30*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 10:32 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 34*p - 245. Let r be y(35). Let d = r - 944. Let n(t) = t + 2. Let f be n(-4). Put f, d, 32 in decreasing order.\nAnswer: 32, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 38*z - 30. Give w(35).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let g = 45 - 32. Suppose 0 = 4*d + 4*b + 16, 0 = -6*d - 2*b - 52 + 64. Solve -d*y - g - 12 = l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2503972.5 and 2.1987147.\nAnswer: 2503974.6987147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13089 = -106*x - 676*x - 8*x - 9821 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -247 - -242. Put -4, i, 1, -0.1 in ascending order.\nAnswer: i, -4, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61 and -2981234.\nAnswer: 181855274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3 - 38671*x**2 - 373880895*x - 373842225 = 0. Calculate x.\nAnswer: -19335, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + o + 4. Let c be q(0). Suppose 7*d = 5*d + c. Suppose 0 = -m + 3*m + d. Is m at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 2*u**5\/15 + 17*u**4\/36 + u**3\/9 - 167*u. Factor i(c).\nAnswer: c*(c + 2)*(8*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*w - 10, -6 = 3*j - 5*w + 4*w. Let y be j\/(-3) - (1 + (-14)\/12). Factor 2*n + y*n**3 - 2*n**2 + 0.\nAnswer: n*(n - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -0*j + z - 8153, -2*z + 8156 = 5*j. Let t be j\/45 - 4\/18. Suppose -t = -2*q + 18. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*h + 1152 = -72. Solve 5*a = -5*d + 35, -a + 17 = -6*d + h*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + b + 151 = 0, -5*g + 0*b + 2*b = -376. Let j = -147\/2 + g. Sort -5, -1, -1\/4, j in decreasing order.\nAnswer: j, -1\/4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*v**2 + 70*v**3 - 2 + 2*v**2 - v**4 - 7*v**2 + v**3 wrt v.\nAnswer: -24*v + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 255*v**5 + 674*v**2 wrt v?\nAnswer: 15300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 times -1?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**3 + 6*d**2 + 4*d + 1. Let b(p) = 5*p**3 - 7*p**2 - 5*p - 1. Determine 6*b(s) + 7*y(s).\nAnswer: 2*s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 135*j*l**2 + 112433*j + 5308*l**3 - 2*l**2 - 16 wrt l?\nAnswer: 270*j*l + 15924*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**6\/3 - 24*o**5\/5 + 77*o**2\/2 - 167. Find the second derivative of h(u) wrt u.\nAnswer: -40*u**3 - 288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -2\/5, -0.6, 0, 145 in descending order.\nAnswer: 145, 0.01, 0, -2\/5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 78 in ascending order.\nAnswer: -3, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 88 + -413163?\nAnswer: -413064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 448*l + 29 = 899*l - 452*l, 4*x + x - 7*x = 16*l + 278 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 9*d + 61, 279*c + d = 276*c - 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379376?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**6\/1440 + v**4\/96 + v**3 + 5. Let j(w) be the third derivative of u(w). Find m, given that j(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c (base 14) in base 13?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14.7, 2\/11, 0.14, -2\/5, -174?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 139 = -48*v - 1752 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*d - 195, -2*d = -6*s + 5*s - 93. Let p(v) = -26 + 10*v + 19 + 56 + 54 - 1. Let y be p(-9). What is the highest common divisor of d and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10201022212021 (base 3) to base 13\nAnswer: -541ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -0.3, -105, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 99. Let i be d*(-2 + 5\/30 + 2). Which is the smallest value? (a) -2 (b) i (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 13. Let x be ((-2)\/j)\/((-8)\/(-16)). What is the nearest to 0 in 0.3, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c**2 + c - 1. Calculate a(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 11*v + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, 13, 21, 31, 43, 57, 73?\n\"Answer: u**2 + 3*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/3031740 and 119\/20520.\nAnswer: 345618360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 79709 (base 10) to base 6\nAnswer: 1413005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 6 - 14)*3\/(-27)*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 858 = 3*p, -4*p + p - 858 = -3*k. What is the tens digit of 6\/15 - 3*p\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*sqrt(539) + sqrt(110)\/(2*sqrt(10) - sqrt(10)) + -2 + sqrt(33)\/sqrt(3).\nAnswer: -82*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03921 + -0.041. Round x to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15195\/112 - -4347\/32. Calculate the common denominator of z and 107\/168.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358.13 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.007 times -10082?\nAnswer: -70644.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0 - 43 = -3*b, -2*b + 10 = 0. Suppose -2*t - 50 = -o*t - 4*r, -r = -3*t + 47. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213877?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.13565, -1\/2, -0.46, -4\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11\/3)\/(-6 + (-4700)\/(-780)). Calculate the greatest common divisor of 39 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 15. Let w be b(12). Suppose 5*u = -w*p + 11955, u + 2*u - p - 7173 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47283 + 15462 = -2685*s - 1498*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -15. Let m be (14\/(-21))\/((-40)\/(-18) - 2). Calculate the remainder when (27\/(-6))\/(m\/42) is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - m**2 + 7*m + 4. Suppose i = 12*v + 2*v - 59, 3*i = 3*v - 21. Determine w(v).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 1. Suppose t = 4 + 5. Suppose 0 = 3*r - t - 3. Give c(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5 - 29. Let n = k + 28. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(-4)*((x**1*x)\/x)**17*x*x\/x**(-1\/8)*x*x\/((x\/x**(-4\/7))\/x)*x*x**3\/(x*x**(3\/10)) assuming x is positive.\nAnswer: x**(6511\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2 + 2)*(-5 - 1 + 4) + 1 - v - 1 + (4 - 3 + 0)*(1 - 2*v - 1) - 4*v + 6*v - 3*v - 2*v - 1 + 1 + 2 + 5*v - 2.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 113, 244, 419, 644, 925, 1268?\n\"Answer: a**3 + 16*a**2 + 76*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*t + 60187, -19*r = -3*t - 20*r - 36115. Let i = t - -421307\/35. Calculate the common denominator of i and -119\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*h + 87*h + 1683 = -34*h - 22*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1\/6, 4, 4\/7, 21, 2\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -2, 1068?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/460)\/(4\/5)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10762 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 0.6412?\nAnswer: 0.6412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -16. Suppose 2*v - 17 = -0*v - 5*p, 0 = -t*v + 2*p + 86. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p = 0. Suppose -c + 2 = 0, 6 + p = u + 2*c. Let y = 8 - -1. What is the least common multiple of u and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*u**3\/3 + 7135*u**2\/3 - 350*u = 0 for u.\nAnswer: 0, 30\/203, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*x = -9, -2*l + 7*x + 5 = 4*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5731143680*h**2 - 35379520*h - 218405\/4 = 0. Calculate h.\nAnswer: -209\/67712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/8 - -1) + (-76)\/64 and 95\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 + -120. Suppose w*r = -92 + 812. Calculate the remainder when r is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 837?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 85*(-2 - 1*(4 - 15)). Let u = -516 + r. What is the remainder when u is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00837136135 + 105860.\nAnswer: 105860.00837136135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88089257, -88089262, -88089267, -88089272, -88089277?\nAnswer: -88089282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -27. Suppose 21 = -l + 90. Let m be -3 - (-5 + l\/36). Is m not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**5\/20 + n**4\/6 - 5*n**3\/6 - 2*n**2 + 2*n. Let k be b(-3). Solve 0 = k*x + x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1012 = 4*d + 4*y, -5*d + 8*d - 763 = -2*y. Let v = d + -114. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2753141.\nAnswer: 31, 88811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**5 - 141*p**4 - p**2 - 3788*p?\nAnswer: -60*p**3 - 1692*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*3*0. Suppose s = -4*z + x + 4*x + 218, 0 = 3*x - 6. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -1201?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2870 (base 10) to base 7.\nAnswer: -11240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1477361, -2954771, -4432183, -5909597, -7387013, -8864431, -10341851?\nAnswer: -11819273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 500263321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*v*y**2 - 3*v - 2*y**2 - y + 577 wrt y?\nAnswer: 34*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/((j*j\/j**(4\/5))\/j)*j*j)\/j*j)\/j**(-9\/2) assuming j is positive.\nAnswer: j**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 99293?\nAnswer: 99292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 19 + (24\/132 - 46\/11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 7*o + 7. Suppose 5*x + 214 - 274 = 0. Let v(y) = -y + 6. Let t be v(3). Suppose -2*d + 4*d - 17 = -p, -t*d + 3*p = -x. What is n(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 1, 0.02, 11?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 = -8*g, 4*n + 4*g + 10400012 = 0. Round n to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56862 and 584982.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*s = -357*s + 130404687. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1317384\/1647)\/(-57) + (-4)\/(-122)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, -5, -1\/13 in decreasing order.\nAnswer: -1\/13, -0.5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-7) + 1\/1. Suppose q*o - 8 = 4*l, 2*o - 5*o - 17 = l. Is 10 a factor of ((-48)\/28)\/(o\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510 and 923358570.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 903 + -1409. Let u = m + 514. Solve 40 + u = 12*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5*(-2)\/50)\/1)\/(8\/(-10))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52238376 by -666.\nAnswer: -78436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45519 + -44851.58. Let q = c - 667. Which is smaller: 9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h - 22. Let w(q) = 5*q + 21. Let v(n) = -7*w(n) - 6*z(n). Let j be v(7). Calculate the remainder when 26 is divided by j\/(-28) - (-96)\/7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 66?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and (-40)\/(-5) - 1*(3 - 5).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/5 - -1\/15. Let s = -16091 + 16093. What is the nearest to 1 in 0.3, x, -5, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72728726 by -7.\nAnswer: -10389818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -530 - -16432\/31. Let f = -70 - -70. Which is greater: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2869546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2582 divided by 111845\nAnswer: 2582\/111845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffffff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -897519 divided by -1\nAnswer: 897519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgagqqh. Give prob of sequence qa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*j + 2*l, -5*j - 6*l = -9*l + 29 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - z**3 + 2*z - 5 - 4*z + 3. Determine x(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, b: 6, l: 8, u: 1, d: 2, a: 2}. Give prob of picking 1 b, 1 d, 1 a, and 1 l.\nAnswer: 64\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55923384359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 11 = -2*t + 5, -t = -n - 5. Let v be t\/5*(-25)\/(-20). Let f be (0 - -1 - 20)\/(-1). Is f less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33515 (base 6) in base 15?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4149040.69 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*o + 15, 0*o = -2*k + 2*o + 54. Let p = 23 - -5. Suppose 3*d + p = 3*m + 5*d, -2*m = -2*d - 22. What is the lowest common multiple of k and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4525, -18104, -40765, -72502, -113309, -163180, -222109?\n\"Answer: c**3 - 4547*c**2 + 55*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19349 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1125890192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*b - 0 - 10, -2*b - 8 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 5*m = -5*n + 21, -2*n = m - 8. What is the closest to 1 in -0.5, 0.4, m, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 308 + -305. What is the closest to l in 6, 3, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g. Let u be n(-1). Let t(c) = -6*c - 97. Let f be t(-30). Differentiate 0*l**u - 93 + 2*l**4 + f with respect to l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11973 and 1228?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a century in decades?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (233\/12)\/((-1)\/(-3)). Let n = -58 + d. Suppose z + 53*g = 55*g + 11, -19 = z + 4*g. Is z at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l = -37*l - 275. Is ((-6)\/2 - l)\/((-26)\/(-117)) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z - 2*z**3)*(-3*z**2 + 3*z**2 - 8*z**2) + (-8*z**3 + 1003*z**2 - 1003*z**2)*(-3*z**2 + 2*z**2 - z**2).\nAnswer: 32*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3769838 to the nearest integer?\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 8*a**2 + 12*a.\nAnswer: a*(a - 6)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 22. Suppose 2*z + 5*m - 2 + 9 = f, -m = 5. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 11. Let j be t(0). Let b = 11 - j. Solve 3*f + 10 + 2 = b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7950*v**3 + 7*v**2 + 213*v.\nAnswer: 47700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 10:37 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55546 or 55541?\nAnswer: 55546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -47. Let k = x + 22.3. Sort k, -3\/5, 1\/4 in increasing order.\nAnswer: -3\/5, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -7*r**4\/24 - 28*r**2. Let b(x) = 8*x. Determine s(b(o)).\nAnswer: -56*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q**3 - 10*q**2 + 69. Calculate the remainder when w(-6) is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -71, 309, 699, 1105, 1533?\n\"Answer: k**3 - k**2 + 376*k - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(75) + -1)*-3 + 6*(0 + sqrt(75) + sqrt(75)) - 1*(1 + sqrt(75))*-5)**2*5.\nAnswer: -73820 - 5600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*j**5 - 16*j**5 + 5*j**2 + 16*j**2 wrt j.\nAnswer: -1680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 5752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**2 + 26*u - 21. What is y(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from {l: 1, a: 6, o: 1, y: 11}?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -77 - (-509 + 467)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-24)*6\/(378\/231)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1297968 and 42000?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28932428, 57864874, 86797320, 115729766, 144662212, 173594658?\nAnswer: 202527104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2) - 2\/(-4)*-6. Let a be (n + 0)*3\/33*-1. Put 1, a, -0.5, 0.5 in descending order.\nAnswer: 1, 0.5, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**3 + 5*v**2 - v - 1. Let z(d) = -13*d**3 - 5 + 4 - 2*d + 9*d**2 - 1 + 0. Let w(g) = 11*m(g) - 6*z(g). Give w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 16*w**2 + 45*w**2)*(-16*w**3 + 12*w**3 - 10*w**3 - 13*w).\nAnswer: -406*w**5 - 405*w**3 - 26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r + 125 + 11*r - 45 - 80.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67650)\/(-8405) + (0 + -8)*1.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72013.77 microseconds in nanoseconds?\nAnswer: 72013770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1744971 is divided by 97?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141 + 913. List the prime factors of l.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/5 + 8372*h**2\/5 - 1748906*h - 7022440 = 0.\nAnswer: -4, 2095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-143)*8\/(-12).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18.126? (a) -2 (b) 0.1 (c) -0.3 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/2)\/(332\/(-664))*7\/2\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 27*f**2 + 3*f - 51. Determine c(27).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*z + 56073 = 83*z - 3*w, -z + 18689 = -2*w. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-550)*2\/4.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216297*p**3 + 10*p**2 + 107757*p**3 + 108543*p**3.\nAnswer: 3*p**3 + 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -354443 (base 14) in base 11?\nAnswer: -1031466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3643667604 to the nearest integer?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 309140\/7 at least as big as 44164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 + l + 38. Let j(x) = -8*x**2 + 3*x + 114. Calculate -7*b(g) + 2*j(g).\nAnswer: -2*g**2 - g - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 7:06 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 1)*(4 - 4 + 2*o) + (2 - 5 + 5)*(-14*o - 5*o - 9*o) + 0*o + o - 3*o to c*o + t and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.32 - -6.28. Let v = -7 + l. Let p = 1.86 - 0.86. What is the third biggest value in -2\/7, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010 (base 2) in base 13?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Suppose 4*b + 0*b - 28 = 0. Let z(i) = -b + 7 + i. Calculate w(z(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 19*d - 8. Let j(s) = -7*s**2 + 75. Give o(j(a)).\nAnswer: -133*a**2 + 1417","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b4b36 - 4?\nAnswer: 1b4b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -10, -12, -10, -4, 6, 20?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k + 4*o = 31*k + 758, -4*k = 3*o - 606. Solve -50 = -25*j - k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 8*s**4 + 22*s**4 + 4 - s + 2*s**2 in the form w*s**3 + z + r*s + o*s**2 + v*s**4 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/5, 5, 2, -134, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 4*i**2 + 4*i - 2. Let a be p(3). Suppose -5*r + r = 0. Let b = r + -5. Sort 5, b, a.\nAnswer: b, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 0.5 (c) -128\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000119370889 to seven decimal places.\nAnswer: 0.0001194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x**2 + 21*x + 6. What is y(6)?\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1 - 8*u + 10*u**2 - 4*u**2 - 7*u**2. Let l be i(-7). Let v be (-2)\/(-9) + 183\/27. Which is bigger: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldb. Give prob of sequence bd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-3) + (-6)\/9. Let x(z) = z**3 - 3*z**2 + 6*z - 5. What is the remainder when x(q) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 15*p**2 - 11*p - 15. Let x be g(-13). List the prime factors of -1 - -2 - x\/5.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + p**2 + 2*p - 2 - p + (-9*p - 5*p + 2*p)*(-4*p + 4*p + 3*p)*(-2 - 3 + 6).\nAnswer: -37*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p**2. Let i(s) = -25*s. Calculate r(i(a)).\nAnswer: 6250*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10 = -0*f. Suppose h = -t - f*t + 12, -2*h - 6 = 0. Is (1 - t) + (57 - -1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -392*i**5 - 6*i**3*l + 26*i**2*l**3 + 325*i*l**2 - 4*i + 1204*l**3 wrt i.\nAnswer: -7840*i**3 - 36*i*l + 52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 397174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4552*d - 59172. Give r(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/566846 and -31\/323912.\nAnswer: 2267384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079348057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 99695 smaller than 99701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z = 39*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 24. Let k be w(0). Suppose v - k = -2. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1) - 3\/(-3). Suppose -4*x - l + 8 = 0, w = -x + l + 2*l + 2. Let r = x - 0. Solve -6 = -2*h, -i + 2*h = 3*i - r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*c + 4. Let i be 37 - (c + 3 + -3). Suppose -3*w + y = 2*y - 19, 5*w + 3*y = i. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/4 - 98*q**2 - 3520*q = 0. Calculate q.\nAnswer: -352, -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + 0.16. Let f = 0.37 - 5.37. What is the second smallest value in 3, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a - 7. Calculate z(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (-90)\/(-21) - (-23)\/7. Suppose a + 107 = -5*c + 8*c, 3*c + j*a = 123. Calculate the greatest common divisor of c and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12946 - 3702 + 3175)*(3*t**3 - 6*t**3 + 2*t**3).\nAnswer: 13473*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzmzdmvz. Give prob of sequence vmmd.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 12*o**2 + 49*o - 28. What is h(15)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddu when three letters picked without replacement from {u: 5, d: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 183636964 to the power of 1\/2, to the nearest integer?\nAnswer: 13551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 4. Suppose -6*t - 5 = -t. Let i = t + -3. Give p(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -3475\/19209?\nAnswer: -3475\/19209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 3*a. Let q be (141 - -2)*(1 + a). Let v = -74 + q. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*l**3 - 18*l**3 - 25*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 319 - 314. Solve -4*v - 32 = -p*w + w, -5*v - 13 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.36643 to 2 dps.\nAnswer: -3.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1806\/5 + -360. What is the nearest to -2\/5 in -5, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 40 = 10*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4050 is divided by 985?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3588\/874 - 4\/38.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 3:52 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 20202200121221001?\nAnswer: -20202200121221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*j - 2417, -12*j = 5*q - 14*j - 4060. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + (-4)\/1 - (-125)\/(-45). What is the closest to i in 11, -2\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18267426 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2355*p**2 + 1903*p**2 + 676*p**2 - 369*p**2 as c*p**2 + b + u*p and give c.\nAnswer: 4565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 15 = 35. Solve 4*u = -0*n - t*n + 2, 0 = 3*n + 5*u - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 5*a**2 - 30*a + 138. Give g(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l + 8. Let k be j(3). Let r(h) be the third derivative of 0*h + 0 - 1\/24*h**4 + 4*h**k - 1\/6*h**3. What is the derivative of r(x) wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47227, 94452, 141677, 188902, 236127?\nAnswer: 283352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261647 divided by 157.\nAnswer: 261647\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 greater than or equal to 215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 40 = -5*q, 0*q = -z + q + 10. What is the greatest common factor of 50 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:13 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 47*h**2 - 47*h**2 - 39*h**2 + 131*h**2 + 387*h to the form d*h + v*h**2 + w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygggggyyyyyy. What is prob of sequence ggg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1774.17 + 64172.698\nAnswer: 65946.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 6:19 PM?\nAnswer: 567","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 13*a**2 - 12*a + 12. Let t be s(-12). Let k = t + -8. Suppose 2*p + 11 = 5*n, 0*n - k*p = -3*n + 1. Solve -5*v - 1 + 6 = 0, n*v = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184992.\nAnswer: 2, 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 10. Let l be f(-6). Suppose 0 = -h + 5*z - l, 2*h - 5*z - 1 - 1 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15628.773 rounded to the nearest ten?\nAnswer: 15630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**3\/3 + 36*m**2 - 406. Find the second derivative of a(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 14. Let f(r) = -r - 7. Let v(q) = 3*c(q) + 5*f(q). Let o be v(-5). Suppose 2*d - 24 = -o*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -40, -44, -46, -46?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + -6.04. Let z = o - -5. Is z >= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/3432 and -139\/9048.\nAnswer: 99528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - y. Let d(o) = 36*o**2 - 12*o. Let l(h) = 2*d(h) - 24*x(h). Let a(z) = 4*z**2. Calculate l(a(i)).\nAnswer: 768*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 342863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -10020.3 (c) 0.4 (d) -152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 34, -58, -150?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2372*q + 56 = 2368*q, -4*r + 18*q = -296 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -482\/3 - -175. What is the common denominator of 54\/7 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 6. Suppose n = -43*w + 46*w - 1167. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 69, -33, -135, -237?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzmmzmdd. Give prob of sequence zmd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o = -2*i - 170, 220 = 5*o - 4*i. Calculate the greatest common divisor of o and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*c = -21, -2*c = 4*u + 36 - 10. What is the units digit of -107*(1 + 1)\/(u\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-70) + (122895\/(-525))\/3\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1784 * -146737.\nAnswer: 261778808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = -20. Let k be (1 - -3)\/(24\/12). Solve -h*f = -c - 1 - 17, 3*f = 5*c + k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7566067 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: What is the ten thousands digit of 252338?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m - m + 2*m + (-1 + 1 - 1)*(4*m - 5*m + 2*m) - 323*m - 7 + 651*m - 327*m as x + o*m and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, e: 2, r: 8, o: 4, b: 1}. What is prob of sequence aroo?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (45 + (-32 - 8))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 0) + (15 + 6 - (11 - -6))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.44 - -0.44. Let l = -130485865 + 130485905.99999936. Let t = b + l. What is t rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -491 divided by 1\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176233.7 micrograms to nanograms.\nAnswer: 176233700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b2a27 (base 13) to base 4.\nAnswer: -11132020313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4292, 4268, 4244, 4220, 4196?\nAnswer: 4172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2190 and 12?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -39.7 times 2618\nAnswer: -103934.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2970\/1650)\/((-3)\/(-8575)). What is the highest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + -9 + (1 - -1 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 14*h**2 - 10*h**2 - 5*h**2. Let p(y) = -28 + 101*y**2 + 28. Determine j(p(r)).\nAnswer: -20402*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 953420 and 13338?\nAnswer: 25742340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*p + 2. Let q be 10 + (60\/45 - (-22)\/(-3)). Sort p, 0, q in decreasing order.\nAnswer: q, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 6. Let p be q(-2). Solve 2*w = p*x - 3*w + 25, -x = 5*w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-3))\/d)\/d)**(-27)*d**(-3\/4)*d*d\/d**(-1\/3)*d*d*d assuming d is positive.\nAnswer: d**(1351\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -59. Solve 0 = 5*s - 4 + h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/(c*c**(-3\/2)))\/c*c**(-4))\/(c**(3\/4)\/(c\/(((c*c**(4\/7))\/c)\/c))) assuming c is positive.\nAnswer: c**(-23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19281)\/(-45)*3 + (-6)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4))**13*a**(-10)*a\/(a\/(a\/a**(-11\/6))))**(-12) assuming a is positive.\nAnswer: a**125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 0 + 0)*(-2578*l**2 + l + 1877*l**2 + 2523*l**2 + 3842*l**2).\nAnswer: 16992*l**4 + 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67069 is divided by 140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -35250 divided by 74?\nAnswer: -17625\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1.2, -0.3, -1, 0.04, 1\/7, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - 0 - (-10 - -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00078310779 to 5 decimal places.\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, e: 3, h: 4, c: 3, g: 2}. Give prob of sequence jjh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 7 - 169 = 0. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12125 = -114*c + 7*c + 10*c. What is the highest common factor of 3475 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/15)\/((-18)\/(-40)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s - 172 = -622. What is the remainder when 20\/8*(5 - (-201)\/s) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 5, 55, 155, 323, 577?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*f + 288*f + 6336 = 0. Suppose 3*y + 0*y = -5*i, -17 = 4*i - y. Sort f, i, -4.\nAnswer: f, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000086067 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 + 15*o**2 - 700*o - 13. Calculate z(-22).\nAnswer: 1351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**3\/3 - 13*k**2\/2 + k. Suppose -3*x + 27 = -0*x. What are the prime factors of m(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 74935*b**3 + 54843.\nAnswer: 224805*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*-4 + 4)**2.\nAnswer: -160*sqrt(2) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1646, 0.4, -2, -1\/10, 3\/7, -73?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002030 (base 5) to base 10.\nAnswer: 31515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -324755*f*k + 1077162487*f - 544*k**2 wrt k?\nAnswer: -324755*f - 1088*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6 - 40*b + 29*b + 17 + 17*b**3. Let m(x) be the third derivative of 3*x**6\/40 - x**4\/4 + x**3 - 3*x**2. Determine 11*m(s) - 6*y(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (140 - 132) + -12 + 5 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.29617963 rounded to 4 decimal places?\nAnswer: -5.2962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n = -18. Suppose w + 8 = -3*l + 60, 5*w = -3*l + 260. Calculate the remainder when w is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1451220*a + 2056911 wrt a?\nAnswer: 1451220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2791960 divided by -3130.\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 18*o**3 + 3*o**3 - 25*o**2 - 17*o + 12*o**2 + 15*o**2 in the form p*o**3 + y*o**2 + b + m*o and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -274*o + 270*o + 7, -2*j - 2 = o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - 0. Let v(x) = -x. Let l be v(s). What is the units digit of 1*l + 2 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(324)*1)\/(-2*sqrt(242)))**2.\nAnswer: 36*sqrt(2)\/11 + 3953\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 2652*a**3 - 7*a**2 + 7*a**2.\nAnswer: -2652*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -58*g + 53*g - 75, -9*g = 2*r - 4*g + 32 + 43 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 87499275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22405 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 42315205, 84630407, 126945609, 169260811?\n\"Answer: 42315202*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/38 and ((-304)\/(-256))\/(1\/10).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1106651*x. Let z(p) = -179*p**2. Give y(z(k)).\nAnswer: 198090529*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1115*k**3\/4 + k**2\/2.\nAnswer: -k**2*(1115*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*g + 629*g**2 - 567*g**2 - 78*g + 2*g**3 in the form d*g + b + o*g**3 + n*g**2 and give n.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = 6*s - 297. What is the remainder when 466 is divided by s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from vezhvpnh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 + 123. Let d(z) be the first derivative of 0*z**2 + 2*z - 7 + 1\/3*z**c. Determine d(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 62*n**3 + n**2. Let w be s(1). Suppose -5*h - 2*b + 75 = -w, 82 = 3*h + 2*b. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 5*s**2 - s + 5. Suppose 11 - 9 = g. Let h be 6*2\/g + 1. Let x = h - 11. Give f(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3\/4 + 65*l**2\/4 + 195*l\/4 + 135\/4.\nAnswer: 5*(l + 1)*(l + 3)*(l + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, r: 2, w: 4, m: 9}. Give prob of sequence rmr.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + 14 + 4 + 28 - -4?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 3522*q - 28252. Calculate l(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84251.62 centuries to months.\nAnswer: 101101944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-75) + 40120\/(-25). What are the prime factors of 22\/33 - q\/(-9)*-10?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47068 and 11?\nAnswer: 517748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 44*b**2 + 13*b + 148. Let g(u) = 44*u**2 + 11*u + 123. Determine -6*g(r) + 5*n(r).\nAnswer: -44*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11817247 greater than or equal to 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64 + j**4 + 65 + 2*j**3 - j**2 + 2*j**2 to the form n*j**3 + o*j**2 + w + z*j**4 + u*j and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/11875 and 37\/4188125?\nAnswer: 79574375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 36.0000064. What is t rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29167 and -0.2?\nAnswer: -5833.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**4\/12 + 2*q**3\/3 - 33*q**2. Let m(v) = -v + 3. Give 8*m(a) - 5*r(a).\nAnswer: 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 90352061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2672234 (base 8) to base 12\nAnswer: 302564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.5. Let q be ((-3)\/2)\/(35147\/4396 + -8). Let k = 2827\/9 - q. Which is the fourth smallest value? (a) k (b) -1\/3 (c) l (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/19, 913, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23623.6km in micrometers?\nAnswer: 23623600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*h*i**2 - 29929417*h - 1355177*i wrt i?\nAnswer: 48*h*i - 1355177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z - 0*z. Suppose 0 = -z*k - k + 20. Solve -9 + k = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 11*l - 15. Let h be 5\/((-15)\/4)*(-36)\/16. Let x be c(h). Let n(i) = i + 9. Give n(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -420?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13)\/f*f**(-7\/6)*((f*(f**(-5)\/f)\/f*f*f)\/f)\/f**12)**(4\/21) assuming f is positive.\nAnswer: f**(-2966\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3 - 3)*(-z**2 - z + z) + 0*z - 10*z - 9*z**3 + 11*z**3 + 6.\nAnswer: z**3 - 10*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((42\/245)\/(42\/105))\/(-6*(-4)\/1288).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17400983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32\/5 + -69\/10. Let o = -1 + 1. Let n(r) = -r**3 - 5*r**2 - 2*r - 7. Let y be n(-5). Which is the second smallest value? (a) y (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*m = 18, 0 = -3*t - 3*m - 12 + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305784 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -710 (base 9) to base 15\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 3:06 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20873 - 54044 - 16424 = 545*j for j.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111755 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-4 - -8)) + (1 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**4 + 1270*a**3 + 3780*a**2 + 3770*a + 1255 = 0 for a.\nAnswer: -251, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -5\/3*f**3 - 3 - 5*f**2 + f**5 + 5\/2*f**4 + 0*f. Find w, given that p(w) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 42. Suppose 4*y = -a - 0*a + 69, 0 = 4*y - 5*a - 87. Is c(y) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -13*i + 10*i + 4*i. Let h(t) be the first derivative of -t**6\/180 - 2*t**3\/3 + 2. Let m(p) be the third derivative of h(p). Give m(b(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10390772569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5.6. Let t = 80 - 81. Let l be ((-4)\/10)\/((-26)\/(-10)). What is the smallest value in u, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625 = -3*a - 22*a. Suppose -87 - 463 = -2*g. What is the greatest common divisor of a and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894510531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(4 + sqrt(320) + 0) + (2 + sqrt(320)*1 - (sqrt(320) + 6*(0 + sqrt(320)))) + -4)*1)**2*3.\nAnswer: -480*sqrt(5) + 24012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17103685 - 17.\nAnswer: -17103702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -1096161.2\nAnswer: 876928.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3 + 11219*a**2 + 1814240*a + 72825600 = 0.\nAnswer: -80, 11379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1 - 15 = 0. Let a(j) = -2*j - 3. Let k(u) = -2*u - 4. What is r*a(o) + 3*k(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q + 7. Let j(v) = 10*v - 20. Let i(p) = 2*j(p) + 7*s(p). What is the units digit of i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 328554.3 kilometers?\nAnswer: 328554300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201 (base 3) to base 16.\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Let a(h) = -219976*h. What is l(a(z))?\nAnswer: -439952*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8148 and 713532?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 29. Give v(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-175)\/(-30))*(-10)\/(-20)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -12. Suppose 3*g - a*z = -52, 0*g - z - 31 = 2*g. Let w = 13 + g. Let f(j) = -j**2 - 3*j - 1. Give f(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.9999413 + -11. Round a to 6 dps.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/17 + 3568\/(-272) + 16. Solve -p*h - f - 1 = f, -4*f + 28 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/((k\/(k**(6\/11)*k))\/k))\/(k*k*k\/k**(1\/4))**(-38) assuming k is positive.\nAnswer: k**(2223\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 14, c: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*z - 91*z - 266 = 0. Solve -z*h + 12 = -23*h + 3*v, v + 12 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1014004 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*z - 10, 4 = 2*z - 6. Suppose l = -2*k - 3*k + 15. Suppose 0 = -4*p - 4, 4*u - 30 = k*u - 5*p. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 89 = 25. Let f = q + -40. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 6\/27 + 1. Let z = -1\/30 + -3\/10. What is the nearest to -1 in y, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26879872 and 16832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -122*t - 2. Let g(p) = -608*p - 11. Let a(w) = -2*g(w) + 11*k(w). Let q(z) = -2*z. Determine a(q(h)).\nAnswer: 252*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d7 (base 14) to base 8.\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(168\/16)*5472\/96.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = d - n - 692, -2*d + 1332 = 5*n. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2007, -2038, -2089, -2160, -2251, -2362, -2493?\nAnswer: -2644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/7*-6)\/(3 - (-205)\/(-70))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.3 + 6951.82416?\nAnswer: 6859.52416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.4708644 to three decimal places.\nAnswer: -23.471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.507625 years?\nAnswer: 0.09507625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -3*c**5\/20 + c**2\/2 - 2*c. Let p be j(-1). Suppose -p + 1 = -h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 = -5*p, 9*r - 7*r = -4*p + 12. What is the nearest to r in 7.8, -2\/15, 4, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/9 - 69416*t**2\/9 + 602322632*t\/9.\nAnswer: 2*t*(t - 17354)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368948235?\nAnswer: 3, 5, 263, 93523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8085*o**2 - 3 - 8082*o**2 + 5 - 1.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -q + 2, 9*l = q + 4*l + 5. Suppose 6*g - 228 = 2*g. Suppose 0*k - 3*k + g = q. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -168 or -9593\/57?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 538134729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {h: 8, p: 2, l: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (-56)\/20)*5. Let y be (1 - p)\/3 - -2. Suppose d + y*d - 45 = 0. Solve 0 = -0*o + 5*o + d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:40 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -2954, 5 in descending order.\nAnswer: 5, 4\/9, -2954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6*p = -5*p. Suppose p = -13*v - 17 - 22. What is the closest to 1 in v, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + 26 + (-3 - 6 - -1) + -3.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/994 and -45\/1748114?\nAnswer: 868812658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 - 2*t**2 + 2*t**2)*(3 - 3 + 1) + 208*t**4 + 11554*t**3 - 11554*t**3 + 4*t**2 + 8*t**4 - 4*t**2.\nAnswer: 214*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22668 or 1?\nAnswer: -22668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25742402 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*(-11)\/(33\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6\/19, 28.31, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axcc when four letters picked without replacement from racxacbarackcxcrxkar?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w - 12. Calculate the remainder when 38 is divided by t(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.9. Let y = -0.38 + 0.48. Let p = y + c. Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 4*z - 3. Let q be o(1). Suppose -96 = -3*p + 4*d, q = 2*p - 0*p - 2*d - 64. What is the remainder when 20 is divided by (25 + 1)*2*8\/p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 323*p - 41. Let i be d(-1). Let b = i + 367. Solve 0 = q - 3*q + b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -16. Solve -3*h + 5*s - 14 = 0, -14 = -3*h - 2*s - x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*a - 7860 = 0, 2*x - 3*a = 6*x - 6295. Suppose 2*k = -3*u + 188400, k + 4*u + x - 95773 = 0. What is k rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 30 = 18. Let y be 4\/(-6) + (-44)\/i. Suppose 2*r - 130 = -y*r. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -285, -585, -867, -1125, -1353?\n\"Answer: f**3 + 3*f**2 - 316*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.441 - -0.541. What is the nearest to v in 1\/3, 0.5, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94003 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19646347961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j*q*y**3 - 2*j*q*y**2 + 382*j*y**3 + 4*q*y**2 + 380*q*y wrt y?\nAnswer: 30*j*q + 2292*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 4*y**4 - 5*y**4 + 0*y**2 + 0*y**2 + y**4 + (4*y**4 - 4*y**4 + 2*y**4)*(4 - 2 + 0).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**4 - 6*l**3 - 6*l + 5. Let j(m) = m**3 + m. Suppose 2*n + 2 = 5*o, -7 + 17 = -5*o. Let s(p) = n*j(p) - v(p). Differentiate s(y) with respect to y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1328 = -4*m + 2*m, 0 = 2*m - 5*a - 1324. Let t = -310 + m. Is 51 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5528 - 5682. Put l, 0, 9, -1, -2 in ascending order.\nAnswer: l, -2, -1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 37*k + 1071. Calculate y(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: b\"What is the uth term of -805, -806, -807?\n\"Answer: -u - 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1918381, 3836792, 5755203?\n\"Answer: 1918411*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c**3 - 15 + 3 + 10 + 2.\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-48)*(150\/(-420))\/((-13)\/104).\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -0.1. Let t = -0.9 - w. Let x = 0.34 - -4.66. Which is the biggest value? (a) t (b) 1\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 50*q + 55. Let t be r(-1). Solve -8 = -o + 4*n, 3*o + 13 = -4*n + t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-162)*((-12)\/(-210) + (-11499)\/(-2730)) and 37\/396.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q + q**2 - 30*q - 17*q to the form k + u*q**2 + v*q and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 10:25 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 1177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -150*l + 153. Let t(j) = -2*j - 3. Let v(o) = o**2 + 10*o - 71. Let u be v(-15). Let a(d) = u*t(d) + f(d). What is the derivative of a(n) wrt n?\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110101 - -101101?\nAnswer: -10000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2 + 13798*p + 13797 = 0 for p.\nAnswer: -13797, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w = 7*w + 2085. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:25 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -492, -998, -1504, -2010?\n\"Answer: -506*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**3 - 4*b**2 - 4*b + 9. Suppose 2*h + 1 - 7 = 0. Let y be d(h). What is y rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/463? (a) -2 (b) 259 (c) -1\/6 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1300\/3 (b) 4 (c) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214.69 - -216. Round p to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2689, -2692, -2697, -2704, -2713, -2724?\n\"Answer: -c**2 - 2688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7. Suppose 0 = -4*h - i - r*i + 47, h = -2*i + 17. Let g = -5 + h. Solve d = 3*x - 14, 2*x - g = -0*x + 4*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-2)*(a**(2\/3))**(-33) assuming a is positive.\nAnswer: a**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -15*a + 13*a + 3*b, 2*a + 104 = -3*b. Which is bigger: a or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2536, -2559, -2582, -2605?\nAnswer: -2628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26295 - 26223. Let x be 14978\/13 + (-6)\/39. What is the greatest common factor of x and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/12 - 40*c. Let j(b) = -12*b**2 + 4. Determine q(j(u)).\nAnswer: 144*u**4 - 96*u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l + 2 - 45 + 190*l**2 + 6*l**4 - 192*l**2 + 6*l to the form f*l**3 + a*l**2 + p + b*l**4 + y*l and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a minute in seconds?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/332880 and 7\/168720.\nAnswer: 12316560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let n(x) = 430*x**2 - 214*x**2 - 17 - 229*x**2. Calculate n(f(i)).\nAnswer: -52*i**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*y - 1\/6*y**2 + 4\/3.\nAnswer: -(y - 2)*(y + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1329.9 and 3.379.\nAnswer: -4493.7321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -55d3 (base 15) in base 10?\nAnswer: -18198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*x + 278*x + 5028 = -1062*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -11. Let k = u + 6. Suppose k = 3*f + 5*h - 1, 0*f + 9 = 3*f + 3*h. Calculate the remainder when 39 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5648 (base 12) in base 11?\nAnswer: -7201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4069409890 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4436304.32 to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76449945 is divided by 114446.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 277297914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 470239608?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1499676295 to the nearest one million.\nAnswer: -1500000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2 + 2)*(-6334 - 12356 - 159*q + 315*q + 4375 - 157*q).\nAnswer: -2*q**3 - 28630*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48602.89 and -0.7?\nAnswer: -34022.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 5:05 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/8)*m*m**(3\/4)\/m)\/(m**(4\/7)*m*m*m**(-2\/11)) assuming m is positive.\nAnswer: m**(-933\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 24*p + 5. Let b(m) = 348*m + 72. Suppose -17*z = 16*z + 165. Determine z*b(c) + 72*k(c).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192456002 is divided by 645.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81121, -162237, -243355, -324475, -405597, -486721?\nAnswer: -567847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*b**3 - 383491*b**2 - 66516004.\nAnswer: -189*b**2 - 766982*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/120 + a**4\/8 - a**3\/3 - 3*a**2. Let n be m(2). Solve 0*q + 3*q = -n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2))\/((-9)\/(-30))*168\/84.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7212838312493 plus -2?\nAnswer: 7212838312491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-7)\/(56\/12)). Suppose -o*l = -v + 69, 3*v = 7*v + l - 321. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 20*s. Let y be n(-7). Let h(j) = j**3 - 6*j**2 - 5*j - 17. Give h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**2\/2 - q\/2 - 7.\nAnswer: (q - 1)*(15*q + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4560182773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r. Let i(m) = 2*m**2 + 1. Let d be i(-7). Let t be 20\/11 - (-18)\/d. Solve -10 = -t*g - r*g - b, -b = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + (25 - 0) - (3 + 9) - 5) + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6513, 12467, 18419, 24369?\n\"Answer: -s**2 + 5957*s + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2*1)\/((-3)\/(-27)). Suppose -120 = c*i - i. Which is smaller: i or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 5*i**2 - 9. Let m be -8 - -6 - (12 + -9). Calculate b(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703393657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/4 (b) -3 (c) 0.038 (d) 1 (e) -503 (f) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376548 - 351230 = 8217*f + 7146*f + 808522 for f.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcr when three letters picked without replacement from {r: 4, a: 5, c: 4, x: 1, k: 1}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1200868 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99*(-24)\/(-108)*(2\/4)\/((-68)\/204).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Let w(s) = s**2 + 3*s + 1. Let d(a) = -a**2 - 5*a - 2. Let b(q) = o*d(q) + 5*w(q). Find the first derivative of b(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.4 + -10. What is the nearest to 1 in 0.1, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 72\/1031?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 14.9. Let b = 1.1 + k. Let p = 107 - 104. What is the nearest to b in 1\/8, -2, p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 2:25 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/8*2*1. Suppose 3*i = 4*b - 3, -b + w = -0. Suppose 4*o = -i*l + 8, -8 = -4*o - 5*l - 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 46 = -343*t + 337*t, 4*n + 5*t + 22 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q - 4. Suppose 2*d = -2*d + 8. Suppose -q*g = -z + d, -g = g - 4*z + 8. Solve 0*h - 4*b - 2 = 2*h, h - 4*b + 7 = g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 73*t**8\/336 + 65*t**4\/24 - 70*t**2. Find the second derivative of g(o) wrt o.\nAnswer: 1460*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let n(p) = 4*p + 2. Let z(o) = 9*o + 5. Let t(s) = -s**3 - 4*s**2 - 4*s - 2. Let c be t(-2). Let g(w) = c*z(w) + 5*n(w). Calculate g(v(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -228979 minus -2728092290?\nAnswer: 2727863311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 5\/6 (c) 70825 (d) 4 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7914415, -15828829, -23743243, -31657657?\n\"Answer: -7914414*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/85 and -23\/3350.\nAnswer: 56950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24303659, 24303700, 24303741, 24303782, 24303823?\nAnswer: 24303864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-19\/2)\/(h**(11\/5)\/(h\/h**(-8)*h)) assuming h is positive.\nAnswer: h**(173\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21120110 (base 3) to base 15\nAnswer: -1980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -7. Let n = -2 + l. Let j(q) = -q**3 - 2*q**2 + 1. Determine j(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17040.202 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3935842?\nAnswer: 2, 61, 32261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2832 and 684636.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 824670.\nAnswer: 824670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36470 + -36468. What is h in -3\/4*h**4 + 19\/4*h**3 + 0 + 7\/2*h**x + 0*h = 0?\nAnswer: -2\/3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((888\/2)\/37)\/(2\/(-6)*2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -367 + 370. Let p(y) = 19*y**2 + 5*y. Let c(w) = -10*w**2 - 3*w. What is d*p(x) + 5*c(x)?\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5625463 is divided by 989.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 6*w - 20. Suppose -24 = 5*p - w*p. Let o(d) = d**3 - 9*d**2 + 9*d - 5. Calculate o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {m: 3, l: 10, h: 2, v: 1, b: 1}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 11. Let q be h(-8). Let t(z) = z**2 + 6*z + 7. Let u be t(q). Let a = 1 - u. Is a bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 2 - 10)*(1601 - 15*r + 14*r - 1632).\nAnswer: 14*r + 434","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 0.25643?\nAnswer: 0.0153858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -105864?\nAnswer: 105861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.390652 to 3 decimal places.\nAnswer: -1.391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 1\/60*h**5 + 0*h - 1\/2*h**3 - 17*h**2 + 0 + 1\/24*h**4. Determine i(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*v - 2 - 13, -f - 2*v - 10 = 0. Suppose f = -3*z + 19 + 11. 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 334043985 a multiple of 1095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4445 and 448.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 610522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 5*l**2. Let q be j(-5). Let v = q + -2. What are the prime factors of (-4)\/(((-6)\/v)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3458 and 665?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82953772, 165907542, 248861312?\nAnswer: 331815082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eengeeggge. What is prob of picking 2 e and 2 g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 442?\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-341 + 158*v - v**5 - 158*v)*(-4 + 3 + 0 + (-2 + 5 - 2)*(3 - 4 - 1) - 1 + 2 + 0).\nAnswer: 2*v**5 + 682","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1296, 1328, 1386, 1464, 1556, 1656, 1758, 1856?\nAnswer: 1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + (30 - (1 + 42)) - -42.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a - 9020 = -9060. Sort 1, -55, a, -4 in decreasing order.\nAnswer: a, 1, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-7))\/(((-6)\/21)\/(-2)). Let m(t) = 3*t - 1. Let p(o) = -4*o. Let y be 2\/3*306\/68. What is b*p(q) + y*m(q)?\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -310*d**6 + 254881*d**3 - 7648325*d**2 - 11 wrt d?\nAnswer: -37200*d**3 + 1529286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((1 + -1 + sqrt(252) + sqrt(252))**2 - ((sqrt(252) + 0 + sqrt(252))**2 + sqrt(252) + sqrt(252))*5))*1 + -5.\nAnswer: -4040 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.226 - -0.064. Let q = s - -2.71. Sort -2\/13, q, -8 in increasing order.\nAnswer: -8, -2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 - 2*z**5 + z**5 + (-14*z**4 - 31*z**3 + 31*z**3)*(-3*z + 2*z - 2*z) + (-5*z**4 + 4*z**4 + 3*z**4)*(8*z - 9 + 9).\nAnswer: 55*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*t - 5160015, 3*p = -p + t + 5160003. What is p rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 297*y - 4153 - 1193 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 47*v + 55 = 51*v, 4*b = -5*v + 72. Let j be (89 - 84) + b\/(-2). What is the nearest to 0 in -2\/9, -3, 2, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-102)\/(-8) + 6\/24. Suppose 0*q = q - u. Suppose 0 = 2*t - q - 1. Solve -22 = -5*s - t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 428890981\/190524150 + 1\/3810483. Let h = 11\/225 + c. What is the common denominator of h and -46\/19?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 467, 454, 435, 410, 379?\n\"Answer: -3*q**2 - 4*q + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-1)\/((-2)\/(4 + 0))). Suppose h = -12*j + 5*j - 21. Which is smaller: -13\/6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13660 - 13660. Solve 0 = 5*t - 30 + 10, -4*q + 5*t - 16 = c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 229b8 (base 12) to base 13\nAnswer: 18146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1500)*4*-3)\/(-4*-5*(sqrt(5) + -1*sqrt(405))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15 = 0, -4*j - 14 = -4*f + 2. Suppose -4*c + 140 = -5*u, -3*u + 48 = -5*c + f*c. What is the smallest common multiple of c and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 - -0.9. Which is the smallest value? (a) 4 (b) m (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13387655 a multiple of 4176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -2*b + 10, u - 14 = -u - 3*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*q**2*r + 3*c**3*q**2 - 1643*c**3*q + 15*c**2*q**2*r - 6*c**2*q*r - c**2 - 2*c*q*r - 1 wrt c.\nAnswer: 6*q**2*r + 18*q**2 - 9858*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 861831862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2108856*i**2 + 1822356*i?\nAnswer: -4217712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*g = -14, 3*f - 2 = -0*f - 4*g. Let a = -3 + f. Is 7 + (a + 2 - -1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 3. Calculate s(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 816 and (32\/(-5))\/((-4)\/(-30)*54\/(-36))?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 3*g**2 + g**2 - 43.\nAnswer: -g**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 721431514 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*m = -10, 2*s + 10 = 4*s + 2*m. Suppose p - 114 = -s*l, 2*p - l - 168 = 4*l. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51781120331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -19*c - 37. Let i(n) = 11*n + 18. Let a(o) = -5*i(o) - 3*j(o). Let t(u) = -6*u. Give a(t(y)).\nAnswer: -12*y + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j - 35 + 35 + 2*j**3. Let b(d) = d**3. Let g(w) = -2*b(w) - r(w). What is the second derivative of g(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y. Let m(n) = -5*n + 8. What is m(b(g))?\nAnswer: -10*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9900 is divided by 3166?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1591187 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j. Let a(g) be the third derivative of g**6\/180 + 4*g**3\/3 - 6*g**2. Let i(p) be the first derivative of a(p). What is i(l(f))?\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - v = 9, -5*o - 2*v = -5*v - 25. What is the third derivative of -f**3 - o*f**3 + 6*f**3 + 3*f**2 wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -7 + -54 + (6 - 17)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(12\/11)*f*f)\/(f**(-7)\/f))**(-8) assuming f is positive.\nAnswer: f**(-1152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -5*k + 10, -v + 0*k + 2 = k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c87 (base 13) in base 5?\nAnswer: -442241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -121, -46, 45, 158?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56.5 - 224. Let f = -121 - x. Let p = -46 + f. Which is the closest to 0.1? (a) p (b) 0.09 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 1. Let q(l) = 8*l**2 - 12*l + 3. Let u(w) = -6*m(w) - q(w). Let o(t) = t**2 - 12*t - 5. Let d(c) = -3*o(c) - 2*u(c). What is d(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46637*o + 46637*o - 1201*o**3 + 3*o**4 - 1 as x + c*o**3 + m*o + v*o**4 + u*o**2 and give c.\nAnswer: -1201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-14)*15\/(6075\/(-36)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/6006384 and -43\/12.\nAnswer: 6006384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 15, p: 3}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -217 + 217 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + -153.047?\nAnswer: -153.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/2687 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 280296.76 rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.15105515 and -11.2.\nAnswer: -11.04894485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -7. Suppose -13*u = 17*u - 240. What is the least common multiple of u and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.974 + 22. Let i = s - -16.974. Let f = i - 19. Which is the closest to 1? (a) -5 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6*x = -4*x - 364, 4*j - 364 = -5*x. Let b be (-3)\/(-2)*(-14)\/3 + 111. Calculate the highest common factor of j and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/30)\/((-1)\/5). Let a(v) = -16 - 16*v - 3 + 4*v - c*v. Is a(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 246.33 - 246.3. What is the second smallest value in 1, x, -7, 4\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623230193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*j**2 - 127*j - 2.\nAnswer: -(j + 2)*(63*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**5\/24 - f**4\/24 - f**3\/6 - f. Let r(s) be the second derivative of v(s). What are the prime factors of r(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19520919 to the nearest integer?\nAnswer: 4418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 11. Let y be n(-11). Which is the smallest value? (a) 4 (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 1, v: 1, w: 1, t: 1}. Give prob of sequence tx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 11. Let y be 2\/d + (-64)\/(-8). Let c = y - 11. Do c and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4790 (base 12) to base 4.\nAnswer: -1331130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -169 (b) -0.4 (c) 1\/3 (d) -2 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-25)*l)\/l**(-2)*l\/l**(9\/2)*l*l\/(l*l**29) assuming l is positive.\nAnswer: l**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-35)\/14)*(-228)\/152?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 10. Suppose -1 = x - h, -4*r = -x + 1. Sort r, 5, -3, 4 in increasing order.\nAnswer: -3, r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2715 is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-10)\/50)\/(1\/16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(1 + 2*4). Let p = -214 - -211. Let y = o - p. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332 - 32?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -288 + 319. Suppose -44*o + 195 = -j*o. Solve -12*k - 15 = -o*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-20)\/(-8)) - -2. Solve 0 = -2*q + a + m*a - 25, a - 23 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 3*l - 4*c, 3*c = -8*l + 3*l + 144. Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2363*l**2 - 61443*l + 247. What is d(-26)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*l = 521*l + 2156. What is the smallest common multiple of 2 and l?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1533 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.25 + -12.31. Which is the second smallest value? (a) 1\/2 (b) -2\/15 (c) p (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14287 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 7*x**2 - 7*x + 7. Let z be -4 - 15*6\/(-9). Let t be h(z). Let o be 2 - (-12)\/14*55\/(-22). Which is smaller: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2305635 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 118*h - 597. Determine n(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.24390983 and -5.\nAnswer: 1.21954915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -11*m + 5*m. Let l be 4 - (8\/(-12))\/(m\/3). Suppose -5*r = -5*o - 5, -l*o - o = -3*r - 2. Let x(k) = -2*k + 1. What is x(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1642367453 rounded to 4 decimal places?\nAnswer: 0.1642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**2 + 204595*z - 409210 = 0.\nAnswer: -40921, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73315, 75160, 77007, 78856, 80707, 82560, 84415?\nAnswer: 86272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -431 - -455. Find the third derivative of 43*h**3 + 4*h**2 + f*h - 107*h**3 - 2*h**2 + h**2 wrt h.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*n - n - 34, q + 4*n = 10. Suppose -2*w + 8*w = q. Let -w*h + h**2 - 4*h - 9*h + 64 = 0. Calculate h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169996969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -60. List the prime factors of 8\/u + (-73)\/(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 13) to base 2\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392515 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 3*q**2 + q - 1. Let d be w(3). Let s be d\/(-8)*(-304179)\/9. Let i = s - 8456. Calculate the common denominator of -11\/14 and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 9. Let u be (42\/(-15))\/(4\/a). Suppose -u - 2 = 3*j + 5*x, 0 = -3*j + 3*x + 15. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 55*l**2 - 156*l - 8. Let a be w(52). Sort 1, 12, a, -4 in decreasing order.\nAnswer: 12, 1, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.1 (b) 1 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4369 or 4364?\nAnswer: 4364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.026654, 5\/7, -0.3, -4, -229.\nAnswer: -229, -4, -0.3, -0.026654, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) - (-1 + sqrt(125))**2 - sqrt(125) - (sqrt(80)\/sqrt(4))\/sqrt(4).\nAnswer: -126 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-16)\/(-10))\/(121641\/(-16218800)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**24*(x*x\/(x**(1\/4)*x))**(-4\/17) assuming x is positive.\nAnswer: x**(795\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3619 - -3630. Calculate the greatest common factor of l and 16720.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 255.\nAnswer: 12495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 7*l - 60. Let v be b(-6). What is the remainder when v + 40\/8 - -2 is divided by 62\/8*(3 - -1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 74374 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3*24\/72?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 plus 7?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -113*t**4\/2 - 42*t + 31. Let i(x) = -8*x**2. Determine i(h(o)).\nAnswer: -3677472*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 8*n**2 - 9*n + 11. Let h be q(9). Let m = -10 + h. Suppose 2*f - 42 = -2*l, 9 = -4*f + m. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113615 or 568071\/5?\nAnswer: 113615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jasa. Give prob of sequence saa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/11 + 56107838*p**2\/11 + 393511213683198*p\/11 + 393511157575362\/11.\nAnswer: 2*(p + 1)*(p + 14026959)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/8 + 3\/(-12). Find the common denominator of (-12)\/p - (-27)\/(-4) and -57\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76986 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17289 is divided by 98?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**6*z**(3\/4)*(z\/z**(-2\/3)*z)**(9\/10) assuming z is positive.\nAnswer: z**(-37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2131404 (base 5) to base 13\nAnswer: -137b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031 take away 282053681085?\nAnswer: -282053681085.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5734316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 1132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 4)\/(6\/(-8)). Let j be ((-5)\/4)\/(2\/56). Let m be ((-42)\/j)\/(x\/(-10)). Is 3 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -6*j + l - 2, 26*j - 2*l = 23*j + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (54\/(-144))\/(41\/4). Let q = -215\/1394 - i. Sort q, 0.3, 1, 4 in ascending order.\nAnswer: q, 0.3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5874 and 3382?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 1. Let i(h) = h + 1. Let c(t) = 5*i(t) - 4*y(t). Determine c(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 + -1)\/(-3) + 9. Let f = c + 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 4. Let r = f + 2. Let t = -0.1 + -0.4. Which is the closest to r? (a) t (b) -0.1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**4\/4 + 2*i**2 - 35*i. Let d(f) be the first derivative of m(f). Let a(s) = -2*s**2. Determine d(a(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubujcruujcrycju. Give prob of sequence cr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3028? (a) -0.5 (b) -0.2 (c) -26 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15.187*-0.3\nAnswer: -4.5561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 4*w**2 + 3*w - 7. Let u be z(-5). Find the second derivative of 0*q**5 - 3*q**5 + 2*q**3 - 2*q**u + q wrt q.\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -355968 divided by 29664?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -7. Suppose -s = -y - 0. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-110)*12\/64. Let h = -237\/220 - p. Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 (base 10) in base 13?\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46038 (base 9) to base 6\nAnswer: 353525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:44 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) -41 (c) -2\/9 (d) -25 (e) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*a**5 + 607*a - 607*a + (7*a**5 - 2*a**5 - 4*a**5)*(13 + 9 - 16).\nAnswer: -31*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17255 (base 12) to base 2.\nAnswer: 1000000110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*i + 159960 = 0, -4*p + 159972 = 8*i - 12*i. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*d - 541, -12*k + 11*k + 253 = -d. Calculate the highest common factor of 86 and k.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r. What is the third derivative of 4*i**5 + i**6 - 4*i**5 + 2*i**2 + r*i**6 wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 4*f**2 + 60 + 10*f**3 + 69 - 125 - 7*f**2 as i*f + v*f**2 + h*f**3 + y and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:28 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6349\/1248 + -66\/13. Let i(x) be the third derivative of -u*x**4 + 1\/480*x**6 + 0*x**5 - x**2 + 0*x + 0*x**3 + 0. Factor i(q).\nAnswer: q*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(187) + (sqrt(187) + sqrt(187) + sqrt(187) + sqrt(187)*2 + sqrt(187) + sqrt(187))*6)*1)\/(-2*(sqrt(44)*2 + sqrt(44))*1).\nAnswer: -43*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, -2\/7, 2\/1225, -3.\nAnswer: -3, -2, -0.4, -2\/7, 2\/1225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180986 by -26.\nAnswer: -6961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 - 65*r**3 - 155*r**2 + 65*r + 150 = 0. What is r?\nAnswer: -2, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 34*q + 115. Give u(-20).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + c**2 - c + (0*c - 2*c + 3*c)*(-c - 2*c + 5*c) + c + 2*c**2 - c - 5765*c + 5765*c - 31*c**2.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g = -6431 + 5963 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 32 - (-3 + -3 + 4 + -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90338 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5822940 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -45. Suppose 0 = -7*g + 6*g + b. Let d be 20\/(-6)*(-9)\/g. Let w(s) = -s - 2. Calculate w(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29214871963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)\/d**(-2\/11)*(d*d**(1\/4))\/(d**(1\/10)\/d) assuming d is positive.\nAnswer: d**(-587\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3422 (base 6) to base 13\nAnswer: 4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -25. What is the tens digit of 8\/s - 912\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 2:33 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 63?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 33972 + 11206 + 11397 + 11369.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -78. Let r(f) = 1. Let t(c) = -14*c - 2. Let k(y) = r(y) + t(y). Let l be k(q). Is 27 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -18*w + 120. What is the greatest common factor of 165 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t**3 - 593295*t**2\/2 + 589749*t + 6740 = 0. What is t?\nAnswer: -1\/88, 2, 6740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 25. Suppose w + 56 = 4*q, 4*w - 1 = q - l*q. What is the greatest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*p + 17766 = 0, -35532 = -4*y + 15*p - 19*p. Is 63 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 368230101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 79.7. Which is the third biggest value? (a) -0.4 (b) k (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 - -4.5. What is the nearest to -1 in 3\/8, 2, k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c059 - -ab?\nAnswer: -1bd8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + y**2 - 1. Let z(a) = -6*a**2 + 4*a + 3. Let i(x) = f(x) - z(x). Does 2 divide i(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/15928 and -61\/110048?\nAnswer: 1210528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-12))\/(-1))\/((-14)\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2980.9605 days in weeks?\nAnswer: 425.8515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*o - 30 = 0, -5*o + 12 + 38 = 5*g. Suppose -5*p + g = -v, -6 = -4*p - 0*v + v. Put 1, -3, p, -4\/7 in ascending order.\nAnswer: -3, -4\/7, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/60 + 12*g**2. Let a(p) = 98*p**2 - 35. Let z(k) = -11*k**2 + 4. Let b(n) = -4*a(n) - 35*z(n). Calculate b(o(y)).\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5*r = 0, 26*h = 31*h - r - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.415 - 111.\nAnswer: -114.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 - 2*x - 5. Let d = -2\/19 - -23\/38. Let h(v) be the first derivative of d*v**2 + 2*v - 2\/3*v**3 + 3. Give 2*b(w) + 5*h(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878619965.\nAnswer: 5, 175723993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0 - 2. Solve 2*u - g = 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44580238, -89160474, -133740710, -178320946?\nAnswer: -222901182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72120, -72118, -72116?\nAnswer: -72114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52*231\/(-4290)*(-5)\/(315\/6)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 6. Let r(u) = 29*u + 501. Let d be r(-17). Let f be 90\/(-75) + 2 + d\/(-10). Solve f = -2*y - t*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14234\/12 + (-2)\/12. Let m = y - 643. Suppose 7*k - 374 = m. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-3 + 7) - 4. Suppose -2*q = -i*q - 10. Let h be 92\/q*3750\/6. What is h rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59.9 - -51. Let j = -4.1 - m. Round j to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -135 + 45. Let s(q) = q - 1. Let r(l) = l**2 - 2*l + 2. Calculate p*s(c) + 5*r(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27350*l**3 + 12*l**2 + 355*l wrt l.\nAnswer: 164100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005948 rounded to 5 decimal places?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 30*l**2. Let j(m) = -7*m. Give j(w(r)).\nAnswer: -210*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4290, 4372, 4408, 4374, 4246, 4000, 3612?\n\"Answer: -4*z**3 + z**2 + 107*z + 4186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 5*y**2 + 4*y + 5. Let v be o(-4). Suppose 3*r + 136 = v*s - 0*r, r + 132 = 5*s. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -23, 7, 21, -4 in descending order.\nAnswer: 21, 7, 2, -4, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -5*d**3 + 7*d**2\/2 + 24. Let c(u) = 2*u. Give c(b(t)).\nAnswer: -30*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -154*d + 138. Let n(z) = -114*z + 138. Let m(u) = 2*l(u) - 3*n(u). What is m(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**5\/210 - 33*s**4\/7 - 923*s**2. Determine g, given that y(g) = 0.\nAnswer: 0, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 5*h**2 + 21*h - 103. Determine q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 34 + 44 = 0. Suppose -2*y - 195 = -5*z - 7*y, -i*z - 3*y = -78. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6542126ns to milliseconds.\nAnswer: 0.0000006542126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and 375589.\nAnswer: -600942.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*f = 449*f + 56 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*-4*sqrt(3564))\/((sqrt(576) - -1*sqrt(576))*5).\nAnswer: 18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 256931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13066 to three dps.\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*q - 87*q - 4*q**2 - q**3 - 7 - 3 to the form r + k*q**2 + c*q + d*q**3 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -67. Find the common denominator of (-5 - -3)*(-43)\/20 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021 minus -49?\nAnswer: 48.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -35*n + 21*n + 3 + 14. Let o(q) = -5*q + 6. Determine 17*o(l) - 6*z(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrerererr. Give prob of picking 1 e and 2 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8549 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**4 - 672512*g**2*n**2 + 2*g*n**2 + 491389*g wrt g?\nAnswer: -48*g**2 - 1345024*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utmqkmtttttumtmuqu. What is prob of sequence muq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -4\/5*s**5 + 6 - 5\/6*s**3 + 0*s**2 + 1\/6*s**4 + 2*s. What is the third derivative of g(x) wrt x?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = w - 63, 2*w - 4*d - 315 = -3*w. Let y(j) = 5*j**3 - 43*j**2 - 19*j + 17. Calculate the remainder when w is divided by y(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 4*q + 2. Let z be m(4). Suppose -14 = t - z*t. Let s = 47 - 21. What is the remainder when s is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = a - 30, -5*a + 101235*z - 101239*z + 6 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150*11.2.\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2 = 42*s + 2. Sort 21, -2, -1, s, -11.\nAnswer: -11, -2, -1, s, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 82, 5 in increasing order.\nAnswer: -4, 4, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -19. Solve -z*n - 9 = -7*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 + 4*f**2 - 3*f + 1. Determine t(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9544 = -14*t + 6828. Sort t, -0.3, -3\/5, 1, 4 in increasing order.\nAnswer: t, -3\/5, -0.3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -0.1, -421 in descending order.\nAnswer: 3\/8, -0.1, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(9)\/sqrt(3))*6)**2*5 + sqrt(300)*2 + sqrt(300) + -5.\nAnswer: 30*sqrt(3) + 2155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 126\/(-2)*42\/(-49). Let s be 2 + f*(3 - 2). Calculate the greatest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -4\/3, 0, -4, -0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**(1\/26)\/(f**(-2\/5)*(f**(-2)*f)\/f) assuming f is positive.\nAnswer: f**(1087\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27380\/13 + -2108. Which is the second smallest value? (a) -0.3 (b) -4\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/24 and -87\/1422104.\nAnswer: 4266312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:38 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 1. Let r = 77 + -82. Sort r, u, -2 in decreasing order.\nAnswer: u, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4893, 9734, 14575, 19416, 24257, 29098?\n\"Answer: 4841*m + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 261 or 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.437 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 2. Let p(s) = -1053*s - 6. Let z(x) = -2*h(x) + p(x). Is z(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*w + 2, -5*w + 4*s = -2 - 4. Let u be 10\/(-14)*8\/(-20). Sort w, u, 1 in descending order.\nAnswer: 1, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -7)*6\/4. Let f be o + (-1 - 0 - 0). Find the second derivative of -f*r**2 - 4*r + 14*r**2 - r wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1148534*a. Let z(f) = 4*f. What is t(z(n))?\nAnswer: -4594136*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 777934406 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**5\/4 - 17*s**4\/2 - 1739*s**3\/4 + 26*s**2 + 1285*s - 868 = 0.\nAnswer: -28, -2, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**3 + 55*m**3 + 7*m**3 + 28*m**3.\nAnswer: 67*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n + 1. Let g be t(3). What is the common denominator of -53\/6 and 69\/g*5\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164313577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.1 (b) 0.5 (c) -8.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*j**2 + 453*j**2 + 1063*j**2 + 1372*j**2 - 30*j**2.\nAnswer: 2600*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzsszzzzsvqsszzsz. What is prob of picking 1 s, 2 z, and 1 v?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92120 and 1237792.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-424)\/(-88) - 2\/(-11). Suppose -y*v = -43 - 27. Calculate the greatest common factor of 70 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250111 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.46 + 0.34. Let c = v - 32.8. Let k = -28.9896 - c. What is k rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 39 = 3*k, -33 = -3*k - 2*a - a. Let s(z) = 24*z - 273. What is the units digit of s(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 996 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -42132 divided by 10533\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((3*sqrt(1620) - sqrt(1620)) + -3 + -1 + 3 + sqrt(80)) + -5)**2.\nAnswer: 480*sqrt(5) + 32009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*s + 3489 = -17056 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 603*o**2 + 7*o + 29. Let z(s) = 40*s - 84. Let u be z(2). Is l(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 19*t + 6*r = 4*r + 106, 33*t + 5*r - 34 = 31*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.968 + -14.032. Which is the third biggest value? (a) -1 (b) 0.1 (c) -2\/35 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5132 (base 9) to base 16.\nAnswer: -eab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -14*x**2 - 5*x - 5. What is v(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*(-5)\/(-10) - 2\/4. Suppose -o - 2*s + 64 = -47, -2*o = -u*s - 198. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272.51 rounded to the nearest 10?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + sqrt(833) - sqrt(833)) + sqrt(833) + (sqrt(833) - 6*(1 + sqrt(833))) + (sqrt(833) + 1)*1 + -5)**2.\nAnswer: 504*sqrt(17) + 7641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 - 2*d - 1. Let h be j(-1). Suppose 3*n + h - 1 = 0. Let q be n + (-62)\/(-22) + -2. Which is the third smallest value? (a) 0.4 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -23*c**3 - 17*c**2 + 308*c + 34. Let b(v) = -4*v**3 - 3*v**2 + 51*v + 6. Determine -34*b(o) + 6*i(o).\nAnswer: -2*o**3 + 114*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*z - 5*a - 11 = -22*z + 23, 4*z - 31 = -7*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 17.503 (c) 13088\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 120 = -6*f - 5*j, 0 = -f + 4*j + 40. Find the first derivative of -f*b + 77*b - 67 + 5*b**2 - 41*b + 2*b**2 wrt b.\nAnswer: 14*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**4 + 14460*z**3 + 130475*z**2 + 203190*z - 348120 = 0.\nAnswer: -6, -4, 1, 2901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2977499 and 6157?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydyyydydyyyyyy. What is prob of sequence ydd?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 + 2*h**2 + h. Let p be a(-1). Suppose 144*m - 210 = 74*m. Suppose -i + p*z = 4*z - 32, 32 = i + m*z. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 736.5918 litres?\nAnswer: 736591.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-42) - 8546\/(-14). Let w = f + -361. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7122 divided by 2374\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/232 - 35\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/11 - 2*o**3\/11 + 6*o**2\/11 + 10*o\/11 + 4\/11.\nAnswer: -2*(o - 2)*(o + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 * -311\nAnswer: 87.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2 + 19683 = 0.\nAnswer: -81, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1678707 + 0.0257\nAnswer: -1678706.9743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 639377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 7. Let g be h(6). Let l(y) be the third derivative of -y**4\/4 + 5*y**3\/3 - 6*y**2 + y. What is the tens digit of l(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6829 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*k - 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1134, 1127, 1124, 1125, 1130?\n\"Answer: 2*m**2 - 13*m + 1145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25305\/671 less than 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2087 * 0.192\nAnswer: -0.0400704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 26*u - 7*u**2 + 8*u**2 + 14 - 11*u. Let o be w(-14). What is the tens digit of ((-15)\/(-10) + o)*(-76)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-216)\/(6 + 60\/(-9)). Suppose -18*d - y = -5*k - 17*d, -2*k - 5*d + 108 = 0. What is the highest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1306266 + -1?\nAnswer: 1306265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27689.28t to grams.\nAnswer: 27689280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-525)\/(-12) + -11 + 3\/(-4). Suppose -3*i = 4*w - 0*i - x, 0 = 5*w + 2*i - 33. Solve w - 9 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 9:04 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueutj. What is prob of sequence teue?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 35 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**2 + 54*o + 100. Calculate c(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*q + 115*q + 23 = -9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -267*g**2 - 10*g + 11. Let y be w(1). Let c = 261 + y. Let o(d) = d + 9. Determine o(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -682\/6145 or 1?\nAnswer: -682\/6145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.1 - -10. Let y = t - 5. Let x = -5.10000142 - y. Round x to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4577*f - 9. Let w(q) = -2*q. Determine x(w(h)).\nAnswer: -9154*h - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*m - 10, -3*y - 9 = -5*m + 2. Is 4 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3241745*u**6 + 98*u**2 - 4008 wrt u?\nAnswer: 389009400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.1805803 to 2 dps.\nAnswer: 12.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 0*z - 10. Let s be (1 + -1)*z\/(-15). Suppose 2*u - 7*u + 95 = s. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 23. What is n(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1437243089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.372281054 to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.1, -0.93, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27535, 55064, 82591, 110116, 137639, 165160?\n\"Answer: -x**2 + 27532*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270, -2243, -7614, -18087, -35366?\nAnswer: -61155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.40439 greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l + 23. List the prime factors of m(17).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fefffffffffffffffff. Give prob of picking 3 f and 1 e.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 2, n: 4}. Give prob of picking 2 n.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7523.047195 rounded to 1 decimal place?\nAnswer: -7523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/(4\/24). Let r(y) = y**2 + 2*y + 2. Let v be r(-2). Let s be a\/(-4) - 1\/v. Is 1 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203693906 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-6)*-6 + -3. Let m(t) = -196*t - 6. Let z(d) = -359*d - 13. Let f(q) = -11*m(q) + 6*z(q). What is f(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26469)\/(-56406) + -1*1\/2. Let z = m - 59937\/11060. Calculate the common denominator of z and 57\/34.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5201165 * 21\nAnswer: -10.9224465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28080 and 845.\nAnswer: 365040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**4\/24 - p**3\/2 + 3*p**2 + 17*p. Let c(f) = -1. Calculate -b(k) + 4*c(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.7 + 20.4. Let r = 29.01 - m. Let o = -0.7 - 0.3. Which is the biggest value? (a) -2 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -53, 0.16, 2\/11, -3, -181?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6466?\nAnswer: 2, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80035?\nAnswer: 5, 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 0. Let p = -3 + -5. Let x = p - -5. Which is the closest to i? (a) -4 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1\/3, 2\/23, 43 in descending order.\nAnswer: 43, 23, 1\/3, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273693473 to the nearest integer?\nAnswer: 16544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from nnninkeinnnne.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 725*s**2. Let t(n) = -118*n**2. Give t(r(x)).\nAnswer: -62023750*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c - 4*c + c**5 + (2*c - 2*c + 10*c**3)*(-5*c + 5*c + 6*c**2)*(7 - 14 - 11).\nAnswer: -1079*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 16*u**2 + 2*u + 1. Let c(o) = 32*o**2 + 3*o + 1. Let t(z) = 4*c(z) - 7*j(z). Let s be t(-1). Solve 0 = -8*w + 3*w - s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (492\/1312)\/(3\/(-48))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -266 - 89. Let s = n + 1295. What is s rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1793611?\nAnswer: 1793611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -320.2 - -4.2. Let o = g - -316.1. Which is the second biggest value? (a) o (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (44\/33)\/((-2)\/(-138)). Let b = z + 288. Suppose -b = -5*f - p, -2*p - 241 = -3*f - 0*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 592828*o**2 - o - 55482 wrt o?\nAnswer: 1185656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 + u. Let k be j(1). Suppose -4*i - 4*s = -3*s - 139, k*s - 65 = -2*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 274853236 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10\/39, 0.1 in descending order.\nAnswer: 4, 10\/39, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*r + 999 = -62*r - 1707 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 316882 times -10\nAnswer: -3168820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l - 818. Let j(s) = 12*s - 1626. What is 3*j(q) - 7*p(q)?\nAnswer: q + 848","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwgl when four letters picked without replacement from lqllglgwwgll.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*((-4)\/3 + 1). Let g be (-4)\/(-10) - (-7)\/(-5). Is g at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3199813?\nAnswer: 3199813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*h**4 + 180*h**3 + 2030 wrt h?\nAnswer: -24*h**3 + 540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -22*g + 8. What is the remainder when t(-4) is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 + 67.2. What is d rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + ((-3)\/2)\/(2\/(-4)). Let p be 17 + (-1 - b - (-4 - -2)). Calculate the highest common divisor of p and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7122034.98 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 11*u - 5. Let g be z(-11). Let k be (64\/32)\/((-1)\/(-2)). Sort -25, g, k, 2 in ascending order.\nAnswer: -25, g, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to 6408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -736*z**5 + 574*z**3 - 589176*z - 7?\nAnswer: -14720*z**3 + 3444*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1350975118 to the nearest integer?\nAnswer: 36756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.081 + -1.081. Let t = -1081 + 1083. What is the second biggest value in -0.1, 34, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -289.6 and -349071.\nAnswer: -349360.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f + 44*f - 50 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9022.7 + 9024. Which is the smallest value? (a) -1\/4 (b) o (c) -8\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7336 less than or equal to 36780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -110210?\nAnswer: 110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.002125, -2.9, 2\/9 in increasing order.\nAnswer: -2.9, 0.002125, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -391, -1448, -3195, -5632, -8759, -12576, -17083?\nAnswer: -22280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13258919717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 334*m**2 - 3*m**3 - 295*m**2 - 96*m + 56 + 4.\nAnswer: -3*(m - 10)*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6612 divided by 3\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**5\/12 + q**4\/6 - 4*q**3\/3 + 1. Let x(b) be the third derivative of h(b). Is 14 a factor of x(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027368295 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 20907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-27))\/((-15)\/6*12\/(-135))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6429 - -6428.9. Which is the nearest to 1? (a) 19 (b) t (c) -24 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189 divided by -29\nAnswer: -189\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152644, -152645, -152646, -152647?\nAnswer: -152648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (-17 - 6) + 62 + 86.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -35)*6\/(-12). Let z = q - 9. Solve -15 = -5*x, n - 3*n - 2*x = -z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 + -1010110000100?\nAnswer: -1010101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86976009?\nAnswer: 3, 131, 73771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 31)\/(9\/(-24)). What is the greatest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 92562307 from 2.949.\nAnswer: -92562304.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78425542034 - 78425542268.000000961. Let j = m - -234. What is j rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -813 + 945*l**2 + 813 in the form a*l + x + o*l**2 and give o.\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5721442 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -18377*f**2 + 91874*f + 4. What is z(5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1649324 by 139.\nAnswer: 1649324\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -0.4, 2, 278, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 3. Let j = -819 + 1842. Calculate the highest common factor of j and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1239093319\/20 + -61939784. Let a = q + -14879. What is the common denominator of a and -57\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -642 and -107.4.\nAnswer: 68950.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 8:35 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2. Let k(m) = m**3 + 2*m**2 - 3*m. Let x(a) = a**2 + 8*a + 9. Let l be x(-6). Let p be k(l). Let z(y) = -y - y + p*y. Calculate i(z(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2393*t**2 + 2395*t**2 - 7171*t**2 + 2385*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjyq when four letters picked without replacement from yyyyqyyyyjyyyyyy.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-16)*(-8)\/3. Let z(j) = -j**2 - 4*j + 18. Let b be z(l). Suppose 3*g - 24 + b = 0. Solve -r = -3*r + g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 6726.\nAnswer: 114342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 8 + 4. Let x(m) = 17*m. Let n(t) = 6*t. Give v*x(i) - 11*n(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/3 + 14366*y**2\/3 - 8587264*y - 43056120.\nAnswer: -2*(y - 3594)**2*(y + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2319 is divided by 211?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 + -110. What is the remainder when 253 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5.976. Let a = 0.02 - k. Let f = 0.0006 - a. What is f rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -17. Suppose -a*k = -6*k + 20. Suppose -k = -2*x - 5*z + 8, 3*x - 8 = 4*z. What is the remainder when 5 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362\/337 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, j: 6}. Give prob of picking 1 a and 2 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129 + 160 - 31 + 401*n to y*n + b and give y.\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71 and 2485?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Which is the third smallest value? (a) 0.2 (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.269 - -0.031. Let o = -850 + 825.66. Let y = o + k. What is y rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1527261, 3054499, 4581737, 6108975, 7636213, 9163451?\nAnswer: 10690689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/70 - 3\/10. Which is the nearest to 5? (a) -0.5 (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 minus -94?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1900) + -2 - ((sqrt(38) - sqrt(152)) + sqrt(38))\/sqrt(2))**2.\nAnswer: -11424 + 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2220 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 5*k = 117 + 1065, 3*k - 36 - 69 = 45*z - 43*z for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 786551448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4192186732?\nAnswer: 2, 1048046683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4688.06 * -8.\nAnswer: 37504.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(1 + sqrt(1100)).\nAnswer: -360*sqrt(11) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*x**4 + 20*x**3 - 92*x**2 - 24*x.\nAnswer: 4*x*(x - 2)*(x + 3)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.891 - 0.109. Let x = 363\/4 - 90. What is the second smallest value in x, 1, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.42 to the nearest integer.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*l**2 + 2*l**2 - 2*l**2)*(2*l + 0*l - 4*l) - 40 + 40 - 17*l**3)*(l - 3*l + 0*l) to the form v*l + q*l**4 + m*l**3 + s*l**2 + d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 3, -4907, 0, 2, 2\/49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a47 + -2?\nAnswer: -2a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 12 = r. Let v be ((-3 - r) + 2)*0. Let u be v + 1 - 10\/6. What is the closest to -4 in 1\/7, u, -4\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 953850141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10066 divided by -6?\nAnswer: 5033\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.633981 centimeters in millimeters?\nAnswer: 76.33981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3420 is divided by (-4 - 711\/6)\/(105\/(-210))?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -40*f**2 - 25*f. Let m(u) = 5*u**2 + 3*u. Determine -3*a(r) - 25*m(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-1))\/1 - 2. Suppose -144 = 2*p - n*i, 178 + 65 = -4*p - i. Let s = p - -129. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**5\/60 - 5*w**4\/12 - 2*w**3\/3 - w**2. Let i be l(-10). Let j be (-4)\/3 - i\/12. Sort 5, j, -2 in descending order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3547.128 to the nearest ten.\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 34 = -z + 40, 3*z = -4*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50221 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/83 and -47\/14146188?\nAnswer: 14146188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2*m - 886 + 874, 2*m = -t + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-954)*(-21)\/1470*-14. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*(-2)\/(-3)*(-3)\/2. Let u be ((-1190)\/21)\/(-10) - 4\/6. Solve 5*n - k - 1 = p*n, u*k = -4*n + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhr when three letters picked without replacement from {n: 2, h: 3, r: 8, o: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 - -94. Let j = -227.99818 + r. What is j rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 496, 543, 654, 853, 1164?\n\"Answer: 4*t**3 + 8*t**2 - 5*t + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6*74\/(-4)*(-58)\/116)\/(48\/32)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010111201 - -10?\nAnswer: -1010111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 6\/11, 0.129, 2\/7 in decreasing order.\nAnswer: 6\/11, 2\/7, 0.129, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 4*r + 72. Let a = -8 + r. Suppose -16*m - 70 = -17*m. Calculate the greatest common divisor of m and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-8 - -2)*3 - -10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -79149231 divided by 79\nAnswer: -1001889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(3840\/(-285))*8\/76\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 11*w**6\/720 - 3*w**5\/40 - w**4\/6 - 11*w**2. Let i(c) be the second derivative of s(c). What is the derivative of i(t) wrt t?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61084*l**2 + 5*l + 4*l**3 - 23*l**4 - 3*l**3 + 61090*l**2 - l in the form j + d*l + z*l**2 + o*l**4 + p*l**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/20? (a) 0.5 (b) 1\/4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2 - 17 = 0. Let t(v) = 2*v**3 + 4*v**2 - 4*v + 4. Let j(y) = 3*y**3 + 5*y**2 - 5*y + 5. What is i*t(r) - 4*j(r)?\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -518.6 and 0.78467.\nAnswer: -406.929862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 3*r + 1. Calculate a(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 30*z**3 - z**2. Let r be m(-1). Let g = 580834\/5 + -116550. Let i = -383 - g. Which is the biggest value? (a) r (b) i (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 11, w: 1, z: 7}?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*o + u - 85, -4*u = -20. Let y = 24 - o. What is the highest common factor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfkncsndsdkfnfkkfdkd. What is prob of sequence dcf?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -346.07 + 349. Let r = -0.07 - a. Let k = 3.2 + -3. Put r, 3, k in ascending order.\nAnswer: r, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q + 1. Let d(g) = -2*g**3 - g - 1. Let w be d(-1). Suppose 4*s - w = 5*s. List the prime factors of a(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*(0 + (-262)\/(-24)) and 218\/(-12)*(-2 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 - 30\/(-6) - -4. Which is greater: 1\/105 or k?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - -664. Let a = -4834\/7 + h. Let l = -2547\/8 - -317. What is the common denominator of l and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*a + 5*o + 28, -2*a + 4*o = 10. Put 18, 1, a, -1 in ascending order.\nAnswer: -1, 1, a, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 + 133. Suppose -2*u + 5*d = -2171, 9*d = -u + p*d + 1084. Calculate the greatest common divisor of 34 and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183743 + 214658 = 4*q + s, 498005 = 5*q + 5*s. Round q to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-9))\/((-4)\/(-3)). Suppose 7*i - 11*i + 192 = 0. Let t be i\/70 - 38\/133. What is the closest to -2\/7 in n, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p - 81*p - 56*p = 19*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -2, 10, 36, 76, 130?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -974448 by 201.\nAnswer: -4848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**6\/24 + c**5\/60 - c**3\/6 + 37*c**2 + 191*c. Let p(t) be the first derivative of l(t). What is p(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 16) to base 13\nAnswer: -1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6, -4\/5, 1\/4, 0.05?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 1, g: 1}. What is prob of sequence fb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 12 - (11 + 14) - 0\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -17*n**2\/2 - 44. Let c(w) = 5*w. What is c(s(p))?\nAnswer: -85*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 860926 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*f - 15. What is the second derivative of -29*k**3 - 40*k**3 - 24*k + f*k**2 + 67*k**3 wrt k?\nAnswer: -12*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by 1308.\nAnswer: 35\/654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 - t - 6. Let l(y) = 3*y**3 + y**2 - 1. Let z(b) = -l(b) - s(b). Let n be 6\/4*(-8)\/(-6). Suppose n*x = -2*x. What is z(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u + 52. What is s(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d - 48*d = 56 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -y - 42474 - 523, 4*y + 3*h + 172063 = 0. Is (y\/32)\/((-15)\/(-20))*-6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 127 = i, -3*s = 4*i - 589 + 205. Calculate the highest common factor of s and 682.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -11*r**2 - 2*r - 2. Let w(a) = 144*a**2 + 27*a + 27. Let u be 2\/13 + 33\/((-1287)\/84). Give u*w(h) - 27*c(h).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + j**2 - j**2 + 3*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 2. Let v(o) = 8*o - 7. Let c be v(2). Let k(h) = h**2 - 11*h - 11. Calculate the remainder when k(14) is divided by p(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 9*b + 23. Let r be m(6). Differentiate 22*t + r + 5*t**3 - 33*t - 6*t**3 wrt t.\nAnswer: -3*t**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 2*d + 63. Determine j(0).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0001 + -0.0354. Round y to 3 decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = 2*c, -7 = 2*c + i - 9. Solve -f + 3 + 2 = c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**14\/h**(-11))\/(h\/(h**(-1\/4)\/h))**(-21) assuming h is positive.\nAnswer: h**(289\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*d = 6 - 16, 0 = 3*h - 3*d - 15. Which is the second biggest value? (a) h (b) 0.6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 1 - 9 + 1 + u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -568, -582, -612, -664, -744, -858, -1012, -1212?\n\"Answer: -r**3 - 2*r**2 - r - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3705554612.\nAnswer: 2, 509, 1279, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(98) - (1 + sqrt(98))*-5) - ((sqrt(216) - (sqrt(216) - sqrt(216)*-1))\/sqrt(12))\/(-2*(sqrt(9) - sqrt(27)\/sqrt(3) - sqrt(9))))**2.\nAnswer: 6700*sqrt(2) + 113025\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 4)*(-1)\/(-8). Let t be (-3)\/(-9) + 8\/(-12). Put -3, t, g in increasing order.\nAnswer: -3, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16, 2, 0.1, 24\/11, 0.5, 29\/3, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, 3, -1\/4, -0.173?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4487 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o**2 + 3*o + 4. Let y be a(3). Let c = -14 - y. What is the highest common divisor of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3095602*k**3 - 41*k**2 + 33574*k wrt k.\nAnswer: -18573612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191864 is divided by 311?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (-8 + (10 - 17) - -25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14, -56, -170, -398, -782, -1364, -2186?\n\"Answer: -7*a**3 + 6*a**2 - 11*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 190*c - 377. Determine h(199).\nAnswer: -2168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - h + 18. Suppose 2*s = -4*q - h, 0 = -4*q - 5*s - 0*s - 15. Let g = 0.997 - -0.003. What is the nearest to g in -0.5, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -49*l. Let g(z) = 5*z. Let f(p) = -21*g(p) - 2*h(p). Let j(y) = y. Give -f(i) - 6*j(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 187.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Suppose -54 = -31*g - 23*g. Let m(k) = -3*k**3 + k**2 - 5*k. Determine g*m(p) + 6*y(p).\nAnswer: -3*p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlq when three letters picked without replacement from rqlvrllrlqvl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 7. Let m be u(5). Sort 4, 3, m in decreasing order.\nAnswer: 4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 0 + 24\/4. Suppose -z = -r + 3. What is the highest common divisor of 2 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09392497 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a0 - -1b?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p - 765 + 1523 - 758 - 53*p.\nAnswer: -97*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2579900?\nAnswer: 2, 5, 25799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -96.3 and -0.1?\nAnswer: 9.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 3, -2, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256865 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5 = -13. Suppose -o*y + 45 + 1607 = 0. Suppose 0 = 2*z - 0*z - 5*f - y, 5*f = -2*z + 443. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r - 2*r - 16*r - 15*r as b + l*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 39. Let t be s\/3*((-34)\/(-6) - 5). Let y = -20 - -20. What is the nearest to y in 2, t, 6\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/4*(-1)\/(-1))\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/12 + a**3\/6 + 7*a**2\/2 - 7*a. What is z(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2069411, 4138827, 6208229, 8277611, 10346967, 12416291, 14485577, 16554819?\n\"Answer: -z**3 - z**2 + 2069426*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/36990 and -113\/102?\nAnswer: 628830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15\/7*w + 0 + 57\/7*w**2 - 48\/7*w**4 + 24\/7*w**3 = 0 for w.\nAnswer: -1, 0, 1\/4, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (68*a**2 - 5*a + 67*a**2 - 130*a**2)*(4 + 1 - 3) as w*a**2 + o + q*a and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19736462 is divided by 113?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*p - 18908 = -345*p + 58988. What is the remainder when p is divided by 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, 5, -3 in increasing order.\nAnswer: -12, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -739, -741, -745, -751, -759?\n\"Answer: -b**2 + b - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6368977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8015893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 51 - 15. Is 6 a factor of (12\/(-9))\/(l\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36760732?\nAnswer: 2, 17, 540599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2239 * -0.06.\nAnswer: 134.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 2:20 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446604 is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 275396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -67 (b) 2 (c) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(1*sqrt(8)) + ((sqrt(1800) - 2*sqrt(1800)) + sqrt(1800) - sqrt(1800) - sqrt(1800) - sqrt(1800)))\/(-2*sqrt(324)*4))**2 + -5.\nAnswer: -4919\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093938371.\nAnswer: 3, 7, 79, 46747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28118 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -213420000 rounded to the nearest 1000000?\nAnswer: -213000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 10088.\nAnswer: 10088.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/2433772 and -53\/2212520.\nAnswer: 24337720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 379, 375, 371?\n\"Answer: -4*l + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 15*l**2 + 3. Let b be j(15). Let s be (-8)\/(-3)*(-3)\/(-2). Solve 2*t + 5 = b*i + 10, s*t - 5*i - 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/149176 and 41\/51440.\nAnswer: 1491760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-11\/5)*b)\/(b\/(b*b**(-5\/3))*b)*b**(-1\/28)*(b\/((b**(-1\/10)*b)\/b*b))\/b assuming b is positive.\nAnswer: b**(251\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -914494 + 1\nAnswer: -914493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltuugmgftglt. Give prob of picking 1 u, 1 l, and 2 t.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) - 56\/6. Suppose -4*l + 0*l - 300 = 0. Let j = h - l. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/2 - 164*g**2 + 663*g\/2 + 495 = 0. What is g?\nAnswer: -330, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*a + 7*a. Solve s + 2*p - 3 = a, 3*p = -5*s + 1 - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40100*x**3 - 4*x**2 + 3383 wrt x?\nAnswer: 240600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**1\/l)**(-8))**(-18) assuming l is positive.\nAnswer: l**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in 54, 3\/4, -4\/7?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 100.685910025 from -2.1.\nAnswer: -102.785910025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*c + 99*c - 209980. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621064672 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*i + 4209, 3*i + 193 = d + 6474. Suppose 0*k + x = -5*k + i, 5*x = -3*k + 1242. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtt. Give prob of sequence xtt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*f - 104*f = -186*f - 306 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -25?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98*f**3 + 7*f + 45*f**3 - 9*f**2 + 55*f**3)*(f**2 - f**2 + 3*f**2).\nAnswer: 6*f**5 - 27*f**4 + 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 + -102. Let k = -101.4 + 109.4. Which is the nearest to -0.1? (a) k (b) 1\/2 (c) p (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((((o**(-1\/2)\/o)\/o)\/o)\/o)\/o)*o)**(-2\/7)\/((o\/o**(-1\/5)*o)\/o**6) assuming o is positive.\nAnswer: o**(58\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 5, -20, -59?\n\"Answer: -7*q**2 + 10*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -163553.791 to the nearest ten.\nAnswer: -163550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, o: 7, b: 2}. What is prob of sequence jbjb?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 10:20 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/441 + 3335\/882. Calculate the common denominator of 3\/(-18)*(-222)\/(-8) and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, l: 2, r: 1, i: 2, h: 4}. Give prob of picking 1 l and 1 m.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*o - 92*o - 35. Put -2, -4, o in decreasing order.\nAnswer: -2, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/52 - 3)*12*(-8)\/96.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 2:35 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 388870 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 15, f: 2, k: 2}. What is prob of sequence ppf?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -10, 16, 80, 194?\n\"Answer: 2*z**3 + z**2 - 17*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1277900 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*v**5 - 27*v**5 - 36*v**5 - 67*v**2 + 76*v**2 wrt v.\nAnswer: -2760*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 2293918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0*n)\/(((n\/(n*n\/(n**(-5\/6)*n)))\/n)\/n*n*n))**0\/((n\/n**0)**(-1\/15)*n**(1\/7)\/n*n*n*((n\/(((n**(1\/4)\/n)\/n)\/n))\/n)\/n) assuming n is positive.\nAnswer: n**(-1187\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 236, -5 in ascending order.\nAnswer: -60, -5, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 216 = 22*g. What is the tens digit of -3*4\/g - 680\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, c: 4}. Give prob of picking 1 w and 2 c.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332, 1271, 2648, 4307, 6092?\nAnswer: 7847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 10800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(30) + -1*sqrt(1920) - sqrt(30) - sqrt(30)))\/((sqrt(6) + sqrt(6)*-3)*-5*-6).\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -0.5, 4\/5, 2.2, 0.5, -34 in ascending order.\nAnswer: -34, -0.5, 2\/21, 0.5, 4\/5, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 9 - 0. What is the lowest common multiple of p and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -49*a**2 + 62*a - 12. Let m(j) = -45*j**2 + 61*j - 12. Let x(u) = 10*m(u) - 9*z(u). Determine x(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/3 + 26*u**2\/3 - 16*u + 6.\nAnswer: -2*(u - 3)**2*(2*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 11 + -12 + -12 + 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -109058 divided by -54529\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*v**3 - 997*v**2 - 3*v + 53730 wrt v?\nAnswer: 12*v**2 - 1994*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 2 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 976 and 610?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -844623 or -844673?\nAnswer: -844623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 45, 72, 103, 138, 177?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -5. Suppose -p*g + 0*g = -6. Let k be 16\/g + 5\/(-15). Calculate the highest common factor of 40 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59356 and 87685?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118004, -4, -5 in decreasing order.\nAnswer: -4, -5, -118004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56856200 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23 and -3?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -24, -25, -26, -27, -28?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -10. Let f(j) = -c*j**2 + 0*j - 3*j + 7 + j + 5*j**2. Suppose 5*k + 0 = 3*w + 3, 4*w - 2*k + 4 = 0. Let q(x) = -x**2 - 1. Give w*f(u) - 5*q(u).\nAnswer: 2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t + 24. Let b be t\/2 - 7\/(-1). Suppose b*h = 4*z + 92, 3*z + 25 = 4*h - 65. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.1 (c) -81 (d) 68\/3117 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 10. Let x be h(-6). Factor 2*r**x + 50*r**3 - 4 - 4*r**4 - 52*r**3 + 2*r + 6*r**2.\nAnswer: -2*(r - 1)**2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -340*u - 14468. Calculate p(-44).\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*-1 - (-6402)\/792. Let p(o) be the third derivative of o**3 + 0 + 0*o - 4*o**2 + w*o**4. Calculate p(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 0*k - 3*k - k + 0*k + 3*k + 3*k - 5*k + k + (k - 2*k + 2*k)*(1 - 2 - 1) - k - k + 36 + 4 to f + v*k and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-7)\/(-7))*0. Solve 3*z = -g*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3213, 3516, 3819, 4122, 4425?\n\"Answer: 303*n + 2910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 535262*f**5 + 2291609*f wrt f.\nAnswer: 10705240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/990 - 4\/30. Is 0.5 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -33 (b) -361 (c) 0.11 (d) -3 (e) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -897314115 + 897314128.99999962. Let j = 14 - d. What is j rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1783884 and 1464?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175758 and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 7) + -11 - (3 - 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 38, 42, 28, -16, -102, -242, -448?\n\"Answer: -2*p**3 + 9*p**2 - 3*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 21 + 18 + 4 + 4*u. Let r(t) = -t + 3. Calculate 6*b(m) - r(m).\nAnswer: 7*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0120262657 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1225016 and -1.\nAnswer: -1225017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**5\/60 - 2410*p**2. Let b(k) = -27*k**2 - 7*k**2 + 3*k**2. Calculate b(z(v)).\nAnswer: -31*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 572543256 - 5?\nAnswer: 572543251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 171 + 176 - 338 + 4*f to a + b*f and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1209 or 15702\/13?\nAnswer: 15702\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59.29 + 59. Let t be -1 - 8 - (296 + -273 - 94\/3). What is the smallest value in -0.3, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -25\/3, -0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 12) to base 10.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/20862 and 77\/304?\nAnswer: 166896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b + 7*b + 4*b**2. Suppose -r - 73 = -3*r - n, 0 = 4*r - 4*n - 176. Let y(p) = r*p + 33*p - 73*p. What is h(y(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-70))\/(12\/(-10)) - 24\/48.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -229761*o**2. Let g(c) = -4*c. Determine i(g(j)).\nAnswer: -3676176*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 280 - 277. Suppose 0 = q*p + 5*b - 807, -7*p - 2*b + 269 = -6*p. List the prime factors of p.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2*z - 4)*(4*z - 3*z + 0*z) + z**2 - 69 + 69 - 2*z**2 - 3 + 3 to r*z + l + y*z**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = s - 5. Let u be 40\/(-12) + (6\/10 - 3016\/(-1560)). What is the biggest value in -3, u, 1\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 13752 = 6183. List the prime factors of u.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/3 - -2)*4\/(-140))\/(519\/(-1730)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -259 and -426080.19702?\nAnswer: 425821.19702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.0883 and 16579238.\nAnswer: 16579240.0883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14392 - 14274. Solve 144 = 100*s - g*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -235 + 515. Suppose 3*z = -4*z + w. Calculate the remainder when z is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 12, -2829\/7 in descending order.\nAnswer: 12, 5, 4, -2829\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 188*u - 754. Calculate l(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 1:33 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14\/(s**(-5\/3)\/s*s))**(6\/13) assuming s is positive.\nAnswer: s**(94\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 122355360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8390 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - v + 104 + 195 = 0, 5*v - 95 = -h. What is the first derivative of -77*k**3 + 0 + h*k**3 - 42 wrt k?\nAnswer: 69*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 5 (c) -0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*s + 105*s + 65*s**3 - 86*s - 59*s**3.\nAnswer: 6*s**3 + 313*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**2*s**4 + 4*i**2 + 2*i*s**2 - 12*i*s - 278*s**4 wrt s.\nAnswer: 24*i**2*s - 6672*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 445? (a) 2\/5 (b) -1\/4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 31963 (base 11) to base 12\nAnswer: 22a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 2)\/(23 + -22). Suppose o*v + 129 = 2*v + 3*u, 2*v - 5*u - 137 = 0. Calculate the smallest common multiple of 12 and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(196) + sqrt(4) - (sqrt(4) + (sqrt(48) - -3*sqrt(48))\/sqrt(12) + sqrt(4)))\/((1*sqrt(180))\/(5*sqrt(90) - sqrt(10))).\nAnswer: -68*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 - -2.09. Let h = 116 - 113. What is the nearest to b in h, -0.4, 0.04?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88601 - -330222. Let w = -28379 - s. Round w to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 3181*i - 12752. Let k be w(4). What is q in 25\/4*q - 5\/2*q**2 + 5\/4*q**k - 25\/2*q**3 + 25\/4*q**5 + 5\/4 = 0?\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14052262?\nAnswer: 2, 7, 1003733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 689, 690, 693, 698?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -917, -2316, -3757, -5240?\n\"Answer: -21*v**2 - 1336*v + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 762.42 - 730.313. What is g rounded to 1 decimal place?\nAnswer: 32.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.154783 to 3 dps.\nAnswer: -0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 = -17. Suppose -144 = -p*f + f. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 1. Let s = g + -19\/2. Which is the third biggest value? (a) s (b) -0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzg when three letters picked without replacement from {z: 2, h: 4, g: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15*w + 829 - 863 + 11*w. Is 7 a factor of y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 1.136?\nAnswer: 5.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 16. Let w = 3.26 - f. Let b = w + -5.26. Sort 6, b, 0.5 in decreasing order.\nAnswer: 6, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600624179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = c + 8, 10 - 30 = -c + 4*i. Suppose k + 5*p + 20 = 0, c*p + 7 = -3*k - 9. Suppose -4*t + 3550 + 6286 = k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g**2 - 20*g + 12. Let i(t) = 10*t**2 + 22*t - 13. Let h(v) = -5*i(v) - 6*m(v). Let j be h(2). Sort j, -1, 4.\nAnswer: -1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i**2 - 60*i - 17*i**2 + 37*i - 5 + 32*i in the form r*i + t*i**2 + l and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -963, -890, -817, -744, -671?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2017, 2024, 2031, 2038, 2045?\nAnswer: 2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11*b**2 - 240*b + 99. Calculate the smallest common multiple of i(-12) and 18.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152420673 to the power of 1\/2, to the nearest integer?\nAnswer: 12346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 13*k - 33. What is l(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -17. Suppose -5*j + 15 = -t*w, -1 = -4*j - w + 21. Suppose 2*o = -o + 9, -j*g + 383 = -4*o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-8 - -23) + 10 + -6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -26, -1\/3, -540?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -12 - -12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 17. Suppose -2*x + 7 + 5 = 0. Let c be x + (a - (3 + -6)). What is the greatest common factor of 44 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4510 is divided by 901?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**3 + 3*x**2 - 2*x. Let g be i(2). Suppose g = p + 3*p. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -473655847, -473655844, -473655831, -473655802, -473655751, -473655672?\nAnswer: -473655559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 4. Let a(n) = -2*n + 5. Let l(s) = 3*a(s) + 4*j(s). Let u be l(-1). Which is smaller: -2\/23 or u?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -22. Let n be u\/((-4)\/6*-3). Are n and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010101000110 (base 2) to base 3\nAnswer: -21110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, -41, -112, -211?\n\"Answer: -14*f**2 - f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*h - 155*h = -4*y - 15, -5*h - 3*y - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4088 divided by -94033.\nAnswer: -4088\/94033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 40 in increasing order.\nAnswer: -7, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33058976 + 33059021.9999975. Let y = d + -46. Round y to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.103226248 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.052 - -4. Let m = -10.46 - -10.40884. Let h = m - g. What is h rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -9. Suppose -t - 4*d + 85 = -k*d, 10 = 5*d. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 2419736.\nAnswer: -241973.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 627572342?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 12:59 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10330, 9495, 8660, 7825?\nAnswer: 6990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427053947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 5, -35 in increasing order.\nAnswer: -35, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + -43 + 34 + -87?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r. Let b(m) be the first derivative of m**3 + 197*m**2 - 16 - 197*m**2. Give b(z(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 16\/7*v + 2\/7*v**2.\nAnswer: 2*v*(v + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 61 + 17 = -7*m + 6*m, -114 = 6*s + 2*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1127\/4 + 2221\/8. What is the common denominator of x and ((-548)\/36 - -7)\/(16\/(-6))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 13*g**2 - 3*g + 2. Let d(t) = 24*t**2 - 4*t - 1. Let l(r) = -6*d(r) + 11*v(r). Calculate l(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -597 - 58?\nAnswer: -5ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 516 and 1054704.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*q**4 + q**4 + 5*q**4)*(84 + 139 + 109) in the form m*q + v + p*q**4 + x*q**2 + a*q**3 and give p.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -9*f + 5*f. Let c be f*(35\/(-10) - -4). Suppose c*s - 176 = 445. Calculate the greatest common factor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22404 divided by -6\nAnswer: 3734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + u**2 - 4*u + 15. Let a(o) = 2*o**3 - 3*o**2 + 7*o - 29. Determine -4*a(s) - 7*l(s).\nAnswer: -s**3 + 5*s**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 21. Let j be y(18). Solve -5*k = 20, -15 = t + 2*k - j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 2:37 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -9. Let u be (-120)\/(-75) - (-4)\/10. Let r be u\/8*(-20 + 26). What is the nearest to -0.1 in -0.1, r, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - g**2 - 5*g + 4. Let m(z) = 13*z**3 + 2*z**2 + 24 + z**3 + 11*z - 33 - 3*z**3 - 7*z**3. What is 9*a(j) + 4*m(j)?\nAnswer: -2*j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooc when three letters picked without replacement from {o: 7, u: 3, c: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = q - 11, 3*q + 2 - 5 = y. Find the third derivative of -6*f**5 + f**2 + y*f**5 + 0*f**2 wrt f.\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*v + 540 = -108*v. What is the units digit of 4\/(-3) + (-117)\/v*244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4076\/267 + 6\/89. Find the common denominator of x and -95\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5*h = 8, -20308*m = -20309*m + 2*h + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18854 + 1.18854. Which is the fourth biggest value? (a) -3 (b) l (c) 25 (d) -0.1 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3380 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 20. Suppose 0 = -2*y - 5*o + 5 - 0, 4*o - h = -y. Let j = -8 - -9. Solve y*d + j = 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22972030, 45944063, 68916096, 91888129, 114860162?\n\"Answer: 22972033*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 2317 = -3*q, -k - 5*q + 2325 = 0. What is the highest common divisor of 32 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 4:54 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 2. Let a(r) = -r - 1. Let w(s) = 13*a(s) - 6*l(s). Let n be -12*3\/(1*6). Determine w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8884 + -5327. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -246, -1016, -2342, -4260, -6806, -10016, -13926?\n\"Answer: -6*h**3 - 242*h**2 - 2*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15244.\nAnswer: 2, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 293262.6 to the nearest one thousand.\nAnswer: 293000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 6:55 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 187 + 37. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1579923 = -657*k + 1574010 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**4\/2 - k**3\/3 - 15*k**2 + 47. Find the third derivative of q(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 53432.\nAnswer: -3\/53432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t**2 + 10*t - 14. Let o(g) = 5*g**2 + 5*g - 7. Let l(y) = -6*c(y) + 11*o(y). Is l(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(2) - sqrt(12)\/sqrt(6))*6 + (sqrt(40) - sqrt(10))\/sqrt(5) + (sqrt(72) + 3 + sqrt(72))*3*-1))**2.\nAnswer: 2520*sqrt(2) + 10124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 + 10*u**2 - u**3 + 3*u**3 - 486*u.\nAnswer: 2*u**3 - 486*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 35 = 2*i, j + j + 38 = 4*i. Let w = j + 30. Suppose -3*m = -5*m + 3*z + w, 16 = -3*m - 5*z. What is the remainder when 3 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.18 + -15. Let w = o - -3.82. Which is the third biggest value? (a) w (b) -2\/5 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 + 3*y**5 + 0*y**5 + (-2*y**4 + 0*y**4 + 0*y**4)*(-3*y + y + 3*y).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*i**3 - 55*i - 128*i + 2*i**4 + 62*i**3 - 116*i**3 in the form r*i**2 + v*i**3 + f*i**4 + s + m*i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - t - 3*t + 1 = 0, 5 = -f + 2*t. Let h = 1\/361 - -24907\/722. Calculate the common denominator of (f\/90)\/(4\/(-234)) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 4*g**2 + 11*g + 1. Let p be w(-2). Suppose -p*a + 8*a = 5735000. What is a rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 292670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 411, -1, -4, 0, 4, 3, -4\/9 in decreasing order.\nAnswer: 411, 4, 3, 0, -4\/9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393798878 is divided by 522.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, 12, 61, 120, 183, 244, 297, 336?\n\"Answer: -l**3 + 14*l**2 - 2*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -239 - -240.154. Let k = o - 1.15400973. Round k to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965785213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmmyjrjnmjjnn. Give prob of picking 2 m and 1 j.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27051847?\nAnswer: 37, 107, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(133) + sqrt(133))*6*-3)\/(sqrt(441)\/sqrt(252)).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 15*f**2 + 14*f. Let j = 37 + -23. Let p be x(j). Find s, given that p - 2\/9*s + 4\/9*s**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41\/574*-56*10\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 2 d when four letters picked without replacement from {p: 3, d: 3, s: 5}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 27*i - 36*i + 76*i)*(13*i**2 + 8 - 8).\nAnswer: 871*i**3 - 26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:20 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-285)\/(-12)*8\/1*(-107)\/(-1070)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 614 - 614.146. Let f = c - -1.146. What is the nearest to f in 0.3, -2\/13, 4\/5, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 290.718605 + -290.7. What is g rounded to four decimal places?\nAnswer: 0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26008 greater than or equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.434 - 448555.\nAnswer: -448554.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -392135\/231 bigger than -1699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (sqrt(832)*1 + 5) - (sqrt(832) + -1)*-1 - (-4 + (sqrt(832) - (sqrt(832) + sqrt(832)*-3)*-6)))**2.\nAnswer: -384*sqrt(13) + 119812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 209598*v**3 + 2896*v**2 + 2896*v - 5792. Let b(c) = 362*c**3 + 5*c**2 + 5*c - 10. Give 2896*b(s) - 5*y(s).\nAnswer: 362*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.1921 + -80.1635. Let z = s - -41.9. What is z rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 g, and 1 w when four letters picked without replacement from {f: 2, a: 1, y: 1, g: 6, w: 3}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 2*l**2 + l + 4. Let b be o(-3). Let f be b*((-27)\/12 + 1). Let r be -3 - -2 - (1 - 2). Solve r = 4*d + 5*c + f, 0*c = -3*d - 3*c - 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(((-1408)\/(-41184))\/(4\/(-21)))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q**3 - 20*q**2 - 3*q - 14. Let c(j) = -5*j**3 - 10*j**2 - j - 7. Let t(x) = 7*c(x) - 4*f(x). Is t(-9) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -0.1693351784?\nAnswer: 0.1306648216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 5\/6 (c) 0.2 (d) -0.05 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-64983)\/642*(-11)\/(-102). Let y = a - 3\/3638. Calculate the common denominator of y and 4\/18 - (-14)\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+-3549600209.2\nAnswer: -3549600206.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18296 divided by -2287\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -143, 8 in increasing order.\nAnswer: -143, -14, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 48355 = -5*y, 5*o - 4*y - 9396 = 38959. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101486730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 0*l**3 + 16 + 0 - l**3 - 11*l**2 + 9*l - 8. Let a be m(-12). Calculate the greatest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) 2 (c) 18 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) -1 (b) -156 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 11*b**2 - 15*b - 15. Let z be (1 + -7)*-1*306\/(-12). Let r be ((-8)\/(-6))\/(17\/z). What are the prime factors of n(r)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(0 - 3) + 7. Suppose -4*c - r*v = -36, 5*v - 5 = 4*c - c. Let m(z) = 7 + z - 6 + 0. What is m(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 2*v + 2*v + (-v + 0*v + 3*v)*(-3 + 4 - 3) to the form w + u*v and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*k**3 - 2\/9*k + 0*k**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28286, -56568, -84846, -113120, -141390, -169656?\n\"Answer: 2*u**2 - 28288*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 73, 4, 0, 268 in descending order.\nAnswer: 268, 73, 8, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 - (-252 - -280).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4485 + -16b9b?\nAnswer: -1b464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122 - 66?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o = 106730 - 105670 for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 0\/4)*-41. Let j be f - ((-1)\/1)\/1. Suppose -5*m = -238 - j. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -320 + -31500?\nAnswer: -32220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5856 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1088) - (sqrt(1088) + -1 + sqrt(1088)) - sqrt(1088)) + sqrt(1088))*-5)**2 + -1.\nAnswer: -400*sqrt(17) + 27224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 6. Let i be -1*-1*(-16)\/(-2). Let m = i - x. Solve 1 + m = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l + 2*l)*(-3*l**4 + 7*l**2 - 7*l**2) + 2*l**5 - l**5 + 0*l**5 - 2*l**5 - l**3 - 3*l**3 + 2*l**3 + (2*l**4 - 2*l**4 - l**4)*(3*l - 3*l + 2*l).\nAnswer: -6*l**5 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - sqrt(288)*-2 - (sqrt(1152) + sqrt(1152)*-2))\/((sqrt(486) + 2*sqrt(486) - sqrt(486))*-2))**2 + -1.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979.406 millilitres in litres?\nAnswer: 1.979406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71255\/13 - -5481. Let h = -6 - -4. What is the closest to 1\/3 in -0.4, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, x: 2}. Give prob of picking 4 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-8)\/y*y))\/y**4)\/(y*y**(-2))**(-21))**(-11\/2) assuming y is positive.\nAnswer: y**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 plus 3074?\nAnswer: 2893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-22)*(336\/(-320))\/((-140)\/100).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 2222301?\nAnswer: -2222213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16200967 and 0.3.\nAnswer: -0.048602901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/1539)\/(((-20)\/72)\/(-5)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 22731557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -314*c + 18844. What is f(60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*p + 242431 + 597699 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15682*o**2 - o + 5476.\nAnswer: -31364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/4 - 573*v**3\/4 - 567*v**2\/4 + 2857*v\/4 - 429 = 0 for v.\nAnswer: -572, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 1. Suppose 3*f = -3*y - 2*f + 16, -4*y + f - 17 = 0. Let k be s(y). Does 13 divide -1*k\/(8\/66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in -3, 5\/2, -1\/47?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*z, -3*h + z = 6*z + 6. Suppose 68 = -2*s + h*s + 3*i, -2*s - 2*i = -128. Suppose -3*g + s = -4. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 58*c**3 + 18*c + 3. Let m(q) = -173*q**3 + q**2 - 48*q - 8. Let y(f) = -3*m(f) - 8*x(f). What is the third derivative of y(b) wrt b?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 7 + -9 + -17 + 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, h: 2, y: 2, p: 6}. What is prob of sequence pphp?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 976205642 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3199860, -3199851, -3199838, -3199821, -3199800, -3199775?\n\"Answer: 2*p**2 + 3*p - 3199865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13462535 (base 7) in base 16?\nAnswer: -133649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-25)*20\/(-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2232304360 to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/288*408)\/5*5.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 43, 15, 602, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3278700433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -6*q + 159. Put -5, q, 0 in decreasing order.\nAnswer: q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 355.6 (b) -6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 5*u + 2*u + 12, 0 = 3*f + 5*u + 3296 - 3348 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2274*o + 2276*o - 23*o**3 - 5*o**3 - 2 + 6*o**3 + o**2 to x*o + g + h*o**3 + b*o**2 and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 622530 at most 622665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.792 less than 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663231.3048 + -0.43?\nAnswer: 3663230.8748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 690 - 942 = 0. Let t be ((-186)\/(0 - -2))\/(-1). Suppose -4*f + x + g = -t, -3*x = 3. What is f rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -10. Suppose 6*p - y*p = 0. Solve 2*q + p*q = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h**3 - 145*h**3 - 108*h**3 + 62*h**3)*(6 + 15*h**2 - 6).\nAnswer: -2745*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c + 3 + 3*c**2 + 11*c - 3 + 18.\nAnswer: 3*(c + 1)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -201c6 + 100?\nAnswer: -200c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208 - 0\/((-4)\/(-2)) - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -930 + 13663 = -781*h - 3668 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -26. Let r be 3\/2*4\/3. Suppose -2*m + 3*m - r = 0. Solve 3*j = a*j - m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -4 - 3) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + 3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 794\/36297 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 12. Let d = o - -9. Suppose -2*v + d = 2*v. Is -2 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 36, 145 in descending order.\nAnswer: 145, 36, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**4\/54 - u**2\/9 - 8*u. Find r, given that q(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -24*j**2. Let f(l) = -l**2. Let q(k) = 16*f(k) - v(k). Let s(g) = -54*g**2 - 65*g**2 + 171*g**2 - 55*g**2. Calculate q(s(z)).\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4382 or -1?\nAnswer: -4382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 279 or 276?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*s**5 - 85973*s**4\/2 - 1100493*s**3 - 637806*s**2 + 51188*s = 0. Calculate s.\nAnswer: -382, -134\/5, -2\/3, 0, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 42*p**2 - p + 1. Let x be j(1). Suppose -4*w = -3*b + 63, 0*w + 2*w = -2*b + x. Suppose 180 - b = 3*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4*122\/3. Let y = s + -3. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (26 - (14 + -2)) - -1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47423409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 34\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/((d*d*(d*d**(-6)*d*d)\/d*d)\/d))*d)\/d)**(12\/13) assuming d is positive.\nAnswer: d**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/6*1113\/(-14). Let c be (-13344)\/(-66) + 6\/(-33). Let m = c - p. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 6:34 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 0*a**2 + 1\/2*a**5 + 0*a**4 + 0 - 8*a - a**3. What is the second derivative of t(f) wrt f?\nAnswer: 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800\/559 at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 15.4. Let m = f - -0.4. Which is the closest to m? (a) 3 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4))**32*w**0*w*w*(w\/(w*w\/(w\/w**(3\/5)))*w*w)\/w*w)**50 assuming w is positive.\nAnswer: w**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -4, -100999, 4, 2, -34 in decreasing order.\nAnswer: 4, 2, -1, -2, -4, -34, -100999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 621192193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/7*m**2 - 96\/7*m - 72\/7 - 2\/7*m**3.\nAnswer: -2*(m + 1)*(m + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5043.50198 and -0.01.\nAnswer: -5043.51198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-14 + -8) - 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -50)*(2 + 1 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5306656 is divided by 4082.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366*g + 28 = -370*g, 5*g = 2*f - 15587. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(272)*3)**2 - (-2 + sqrt(153) + sqrt(153) - sqrt(17) - (sqrt(17) - (sqrt(17) + sqrt(51)\/sqrt(3) + -4)))**2)*1.\nAnswer: 72*sqrt(17) + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-94)\/9)\/((-8)\/(-3))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11 - 11 = 0. Let a(c) = c**3 + 4*c**2 - 72*c - 5. What is the remainder when a(7) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 24 + 1 = -5*y, 14*y - 70*r + 82 = -72*r for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoooyyy. Give prob of picking 2 o and 2 y.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110 (base 2) to base 12.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44, 53, 84, 149, 260?\n\"Answer: 2*d**3 - d**2 - 2*d + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2604 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, c: 2, j: 3}. Give prob of sequence fch.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89 + 2*o + 89 to the form n*o + g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -12*m - 1. Let o be f(-1). Suppose 50*x + 87 = 53*x. Suppose -o = -4*h + x. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 4*h - 18 = k, 0 = 3*k + h - 8. Let n(b) = b - 2. Let d(t) = -t + 2. Let i(c) = 2*d(c) + 3*n(c). Let v(q) = -1. Calculate k*v(z) - i(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*y = 197*y - 276 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 45253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5992 and 488?\nAnswer: 365512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -23445.7 rounded to the nearest one hundred?\nAnswer: -23400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**2\/2 - 8*k + 3. Let j be s(-7). What is the tens digit of (-1 + -25)\/2*j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6022094791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131042270 - -0.641.\nAnswer: -131042269.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 4:11 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 5. Let n(p) = p**3 + 8*p**2 + 2*p + 16. Let q be n(-8). Let x = 60.6 + -61. What is the nearest to q in x, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 z, and 1 f when four letters picked without replacement from xfxzxljbxbbjbjb.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133796 and 77190?\nAnswer: 2006940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 0, 4*f - 3*k - 1 - 25 = 0. Find the second derivative of f*m - 10*m**3 - 7*m + 3*m wrt m.\nAnswer: -60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*g - r + 4*r, g + 3*r = -13. Let t = 18 + -10. Let f = t - 4. Solve 3 = u + g, 0 = -4*o + f*u - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, -4\/3, 2\/5.\nAnswer: -3, -4\/3, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3548*q**3 + 14156*q**2?\nAnswer: 21288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 6*h**2 + 4*h - 3. Let i be v(-5). Let o = i + 1. Suppose -o*u = -9 + 3. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 212723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*i = -15, 3*i + 140 = 4*q + 119 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + z**2 - 2*z. Give p(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 9 - 6 + 0*d. Let b be y(-3). Suppose 2*o - 5 - 1 = b. Which is smaller: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -1. Let b(z) = -4*z + 10. Let o(a) = a - 3. Let l(h) = s*o(h) - 2*b(h). Give l(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:48 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 1\/10, -4, -2\/7, -3\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m + 455 - 273. Is (48\/m)\/6 + (-1394)\/(-14) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3. Let a = f + 6. Suppose 2*n + 53 = a*p, 2*p + p = 5*n + 47. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -715867a + 4?\nAnswer: -7158676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 492 and 1738236.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26 (b) -0.5 (c) 0.4 (d) -381\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1591845934?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1019*k + 5. Let b(n) = 12227*n - 63. What is -4*b(m) - 50*h(m)?\nAnswer: 2042*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1927, -1928, -1929, -1930, -1931?\nAnswer: -1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4426\/23 - 686513\/3565. Let i = 2\/31 - z. Factor i*b**2 - 8\/5*b + 16\/5.\nAnswer: (b - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 + 6*o**2 - o - 4. Determine p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1911641 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -1. Suppose -b*l = l - 36. Solve 3*c = -3*q + l, c + 15 = -5*q + 3*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 7. Suppose -2*i = -5 - 5. What is the lowest common multiple of 6 and r(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**3 + 13072*j**2 - 10770740*j + 148239224 = 0.\nAnswer: 14, 1627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - c - 7 = 0, -4*z - c - 4 = -7*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, l: 2, r: 6, p: 6, i: 1}. What is prob of picking 1 p and 1 l?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.62851 to one decimal place.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -39*f**2 + 5*f + 61. Let h(x) = 2*x**2 - x - 12. Let b(o) = -5*h(o) - y(o). Let d(w) = w. Give d(b(c)).\nAnswer: 29*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001113917 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91245?\nAnswer: 3, 5, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-8 + (-2 - -2 - (1 + -1))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 5*u**2 - 5*u + 5. Let w(l) be the second derivative of l**4\/12 + l**3\/6 - l**2\/2 + 6803*l. Determine -r(q) - 5*w(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-12) + (-246)\/(-36). Let s = -6 + v. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27202\/(-48575))\/((-1)\/25).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6911 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 5*f, -58*l + 63*l + 9 = 4*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.23*-11550\nAnswer: 2656.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*s - w + 195, 20*s + 3*w = 19*s - 17 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 195123993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 3*q**2 + 6 - 7 - 5*q**2 wrt q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21374 to the nearest one hundred.\nAnswer: 21400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*h + 3*i - 12, -2*i = 3*h - 10. Suppose -r = r - 2*b - h, 0 = 4*r + b + 1. Solve 5*a + 4*t - 1 = -2, t - 1 = r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4973 is divided by 2358.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 161692837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -193\/4 - -47. Let x = 18 - 14. Let b be 7\/(-6)*x\/(-14). What is the smallest value in b, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079985 - -83.11?\nAnswer: 83.189985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -851*p + 11180 = -846*p. What is the highest common divisor of p and 624?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from wewwwwwwwwewwwwwwww?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**7\/2016 - 7*d**6\/2880 - d**5\/240 + d**4\/24 - d**2. Let i(w) be the second derivative of a(w). Find z such that i(z) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118.1 + -118. Let o = 0.9 - -0.1. Let i = 1.4 - o. Put z, i, 2\/11 in descending order.\nAnswer: i, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1030\/3 or -344?\nAnswer: -344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(0 + sqrt(153) + sqrt(153) - sqrt(153))*-3 - (-5 + 2 + sqrt(68)\/sqrt(4) + -4)) + 5)**2.\nAnswer: -888*sqrt(17) + 23417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -816, -1595, -2374, -3153, -3932, -4711?\n\"Answer: -779*z - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-47)\/15 + 4\/(-2)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*b - 177*b = -99*b - 507 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1664145 * 151.\nAnswer: -251285895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2*t = -6, 5*z + 24*t = 23*t + 15*t + 60 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = -2*j, -4*j - 2 = -2*s - 10. Let v be (-3)\/(3\/(-1)) + -1. Let l = j - v. Calculate the highest common divisor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178260?\nAnswer: 2, 3, 5, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*(-1)\/2*6. Suppose 4*m = 2*m + 28. Calculate the greatest common divisor of m and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8738.5*0.022\nAnswer: 192.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2649, 4, -20 in increasing order.\nAnswer: -2649, -20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -14, 3, -82, -5 in ascending order.\nAnswer: -82, -14, -5, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1101?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -550? (a) 5 (b) -3 (c) 4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 7*q**2 - 1\/180*q**6 + 1\/315*q**7 + 0 + 0*q**3 + 0*q**5 + 0*q**4 + 0*q. Factor v(o).\nAnswer: 2*o**3*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*u + 14*u - 6*u - 70)*(3*u**2 + 0*u + 0*u) to z + k*u + m*u**2 + t*u**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6786 + 7031. What is the remainder when k is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 673*p*x**3 - p*x + 38*p - 2*x**3 + 2*x**2 + 3*x wrt x?\nAnswer: 4038*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -535, -2345, -7261, -16837, -32627, -56185, -89065?\n\"Answer: -259*r**3 + r**2 - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + (sqrt(152) - (sqrt(152) - sqrt(152)*-5)*4))\/((sqrt(392)\/sqrt(7))\/sqrt(7)) + 0)*5.\nAnswer: -110*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15324 is divided by 1664.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1226835977*l**3 - 591334190.\nAnswer: -3680507931*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8655 >= -8653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a meter in millimeters?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*o = -0*z - 25, 5*z - 4*o = -20. Suppose -6*d + 1 + 11 = z. Suppose a = d*q - 43, -2*q - 4 = a - 41. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3065, -6139, -9213?\nAnswer: -12287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -299120, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 0 + 5*h - 9 + 3 - 2*h. Let k(w) = -8*w + 19. Let v(m) = -7*f(m) - 2*k(m). Is 6 a factor of v(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + y - 25, -3*y + 66 = -2*g + 95. Solve 5*s = -w + 1 - g, -s + 12 = 5*w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m + 25. Let h(l) = -l**3 + 4*l**2 + 5*l + 2. Let i be h(m). Let d = -4 + 2. Put -3, d, i in descending order.\nAnswer: i, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 8:46 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2*u)*(1 - 3 + 3) + u - 2*u - 4*u + 0 - 2*u + 0)*(-u**3 - 2*u**2 + 2*u**2)*(-614 - 582 + 1244).\nAnswer: 240*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -1\/120*j**6 + 0*j + 1\/24*j**4 - j**2 + 1\/18*j**3 - 1\/315*j**7 + 0 + 1\/180*j**5. Suppose d(x) = 0. Calculate x.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 1680.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 612 = -2*b - b, -3*l - 2*b = -352. Suppose -u - l = -7*u. Differentiate -10*q - u*q - 9 - 5*q - q wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 9\/32 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 36.00005. Round r to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i = 184556 - 184199 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 335866 (base 10) to base 5\nAnswer: 41221431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153242 is divided by 3559.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yryjkykukuuduuyu. Give prob of sequence dyyj.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 8 = -r, 4*r - 32*b + 53521 = 53453 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2414 and 320.\nAnswer: 386240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + (-246)\/(-36))*-6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -1012\/9 - 2\/9*y**2 - 10*y = 0?\nAnswer: -23, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/538 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -899.99997385 + 900. Round s to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/57532 and -11\/1216.\nAnswer: 920512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(70))\/sqrt(10) - (-6*sqrt(63) + -4 + sqrt(63) + sqrt(7)))*5.\nAnswer: 20 + 75*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3786963, -7573924, -11360885, -15147846, -18934807, -22721768?\n\"Answer: -3786961*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.912549497 minus 4.9?\nAnswer: -5.812549497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - 12 + p**2 + 15 + 2*p**2 - 2*p. Let f(q) = 7*q**3 + 8*q**2 - 5*q + 8. Let k(x) = 3*f(x) - 8*w(x). Find the second derivative of k(u) wrt u.\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2 - 26*u + 18. Give h(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**6\/720 - c**4\/12 + 19*c**2. Let t(d) be the second derivative of z(d). Let f(g) = 12*g. Calculate f(t(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 24*d**2 + 22*d - 30. List the prime factors of z(-25).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 10. Let y be 24*-2*(-1)\/m. What is the greatest common divisor of y and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58\/7*v**3 - 2\/7*v**5 - 4\/7*v**4 + 16 - 40\/7*v - 92\/7*v**2 = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0*l**2 - 2*l**2 + l**2. Let b(z) = -4*z**2 + 2*z**2 + 3*z**2. Determine b(q(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-3)\/(2 + 1))\/(-3))\/1. What is the closest to -2\/3 in n, -13, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279 + 0.016701.\nAnswer: 279.016701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 73*f**2 + 3*f + 17. Let s(y) = -36*y**2 - 2*y - 9. Let v(z) = -6*a(z) - 11*s(z). Calculate the common denominator of -3\/4 and v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -139, -554, -1247, -2218, -3467, -4994?\n\"Answer: -139*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 - 40*m\/3 - 416.\nAnswer: (m - 104)*(m + 24)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4269382.7 to the nearest one thousand.\nAnswer: 4269000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 4:55 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-61*t + 8*t - 8*t + (-2 + 1 - 1)*(2*t - 4*t + t) - 2*t + 3*t - 2*t)*(-2*t + 0 + 0) + 148*t**2 + 48*t**2 + 12*t**2)*(-2*t + 4*t + 0*t).\nAnswer: 656*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y - y)*(-4*y + 6*y - 3*y) + y**2 + 2*y**2 - y**2 + 10*y**2 - 11 + 11 - y**2 - 49*y**2 - 101*y**2.\nAnswer: -140*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 4 - 1)*(4*c - 3*c - 2*c) + (2*c - 5*c + 4*c)*(4 - 4 + 1))*(-2 + 3 + 0) in the form w + l*c and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047.9518 months in years?\nAnswer: 170.66265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31341123 (base 5) to base 3.\nAnswer: -111022110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 4*i + 275 - 258, 0 = -4*w - 5*i - 52 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/3441350 and -87\/112?\nAnswer: 192715600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3245714 weeks in minutes?\nAnswer: 3271.679712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2, 1738 in decreasing order.\nAnswer: 1738, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2 (c) -0.1 (d) -1925419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 83719583 = -5*c + 16754583, 0 = -q. What is c rounded to the nearest one hundred thousand?\nAnswer: -13400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2333263\/1468 + 306\/367. Let h = 1577 - x. Find the common denominator of h and -89\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 277, -9564, 1.\nAnswer: -9564, 1, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 6010 = -2*x - 5922, 8 = n - 2*x for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -302\/7? (a) -13 (b) 500 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22485\/176 - -1450\/11. Calculate the common denominator of -31\/3 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -43*t + 5*t**3 + 20*t - 4*t**3 + 31 + 9*t + 12*t**2 - 2*t**3. Calculate h(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -6 (c) 135 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -0.3 (c) -471 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 162*l - 168. Calculate v(80).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 4*u**2 - 5*u + 1. Suppose -7 = -m + 3*y, -2*m - 4*y - 4 = 2. Suppose m - 6 = -o. Give z(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c + 14. Let y be g(0). Suppose -9575 = -11*m - y*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1080135 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/(715\/(-250)) - 4\/(-26). Suppose -t*v + s + 19 = 2*s, s + 5 = 0. What is the third derivative of 25*g**6 - 4*g**2 - 3*g**2 - 27*g**v wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2 + b - 2 + 0. Let i(c) = -1 + 4*c**2 + 1. Give i(u(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -283672*c*j**2*m**3 - 9*c*j**2*m - 2*c*j*m**3 - 15*j**2*m**2 - 3*j**2 - 143*m**2 wrt m.\nAnswer: -1702032*c*j**2 - 12*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**4\/24 + 7*m**3\/3 + 2*m**2 - m. Calculate r(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r - 20*r + 472*r + 349*r as i + b*r and give b.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -4 (c) 2\/19 (d) -0.2 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1013 + -0.1. What is m rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182.33 times 0.5\nAnswer: -91.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**10*r*r**(-10)\/r*(r**3)**17 assuming r is positive.\nAnswer: r**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3248.02 + 3248. Put n, 2, -9 in decreasing order.\nAnswer: 2, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2) + -6)*(-14)\/(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 - 4*t**2\/3 + 2*t\/3 + 4\/3.\nAnswer: -2*(t - 1)*(t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 48. Calculate d(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*f + 290 = 370*f - 16*y, -4*y - 82 = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -112, -243, -426, -661, -948, -1287?\nAnswer: -1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/66*3\/(-1). Let k = -67\/42 - -5\/3. Let o = -18\/7 + k. Which is the third smallest value? (a) o (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 32, 75, 146, 251, 396, 587?\n\"Answer: a**3 + 5*a**2 - a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.29164 to one decimal place.\nAnswer: -42.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2067 + 2013 - 6177 + j + 1999.\nAnswer: j - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/9 - 0 - 560\/77?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.587 - -0.887. Which is the smallest value? (a) h (b) -207 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(684)))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 5 + 1)*(-2*q - 2*q + 5*q) - 3*q + 3*q + 2*q)*(-1 - 2 + 2) to o + f*q and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 637\/(-84) + 28\/21.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.5 - 20.33. Let f = 112.43 + -113. Let a = f + k. Sort 0, a, 0.2 in decreasing order.\nAnswer: 0.2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11033 and 93449.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3689 is divided by 1825?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -163 greater than or equal to -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**2\/6 - 305805*y\/2 - 9173150\/3 = 0.\nAnswer: -183463, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -120065.\nAnswer: 240130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -g + 5*a + 20385, 2*g + 5*a = 40815. Suppose c + c - g = 0. What is c rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(21)*-1)\/(3*-2*sqrt(3)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62830493 divided by 27401.\nAnswer: -2293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*h**2 + 4*h**2 - 3*h**2)*(7*h - 5*h + 0*h) - 1 + 1 + 2*h**3)*(h**2 - 3*h + h + 7 - 9).\nAnswer: -6*h**5 + 12*h**4 + 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 41743 - 1577. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602*c + 11 = 600*c - 0*w + w, w = 4*c + 19 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1593 is divided by 497.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 8*k**2 + 12*k - 703. Let s(o) = 2*o**2 + 3*o. Calculate 4*s(x) - w(x).\nAnswer: -2*x**3 + 703","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-40) + 3\/(-24). What is the closest to 4\/7 in 0, b, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-130)\/65 - (-1 - 0 - 3). Find the third derivative of -22*m**3 - 8*m**2 - 17*m**2 + 9*m**y + 3 wrt m.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4099561 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2134 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/56*7\/(-6). Is -1 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4118\/9 - -458. Let y be -2 + (-14)\/(-4) - 0\/(-17). What is the nearest to 0.1 in o, -2\/7, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32297 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 109*f - 107*f + 8. Sort f, -12, 0, 2, 4.\nAnswer: -12, f, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 5, n: 1, i: 4, w: 1}. Give prob of sequence na.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12463 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1572 is divided by 83?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -222426 divided by 952\nAnswer: -111213\/476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2929572 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7937639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6.4 (b) 2\/7 (c) -0.4 (d) -1 (e) 1\/7 (f) -279\/7 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.53 rounded to 0 decimal places?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 193. Suppose 0 = -10*g + 7*g + p. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**4\/6 - 15*z - 3. Let h(d) = 31*d**2. Give v(h(l)).\nAnswer: 1922*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 - -2.02. Let m = -4 + 4.7. Let o = l + m. Which is the third smallest value? (a) o (b) 0.4 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 30. Suppose 0 = -5*m + 5 + 25. Calculate the smallest common multiple of m and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-1\/22)*v*v))\/(v\/v**14) assuming v is positive.\nAnswer: v**(243\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 > -0.06545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/31111 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -5*p**4\/6 + 5*p**3\/6 + 5*p**2\/2 + p. Let w(m) = 7*m**2 - 3*m - 3. Let n(y) = 5*o(y) + 7*w(y). Determine n(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*z + 90 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -100, -184, -266, -346, -424?\n\"Answer: s**2 - 87*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = r - 17, -r - 7 = -2*i. Suppose -j + 75*g + 19 = 74*g, 2*g = -4*j + 94. Let j*x**r + 64\/3*x - 8\/3 - 122\/3*x**2 = 0. What is x?\nAnswer: 2\/11, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64409.86 years to months.\nAnswer: 772918.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 5 + 0 - -2) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -121*l + 58. Suppose 0 = 2*w + i + 8, -2*i + 5*i = 2*w + 8. What is the units digit of r(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/666)\/((-5035)\/(-271890))?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4721 and 37.\nAnswer: -174677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o = 0. Suppose 0*z + z + 5*c + 6 = o, -5*z + 100 = -c. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/(-333))\/((-4)\/(-18)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1311285*l = 1311550*l - 10865 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -54395?\nAnswer: 54384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 127*u**3 + 42*u**2 + 11*u + 7. Let z(o) = -130*o**3 - 43*o**2 - 10*o - 6. Let y(q) = -6*i(q) - 7*z(q). What is the third derivative of y(v) wrt v?\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 2*b + 7096 - 7094 - 358*b**3.\nAnswer: -358*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5364540.757 to the nearest 100.\nAnswer: 5364500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 116 = 4*m - 4. What is the highest common factor of 19 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 39 + 249 = 0. Suppose -121 = 5*c - 6*c + 3*n, -2*c = -4*n - 236. What is the highest common factor of c and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/8)\/((-6)\/1304). Let k = a - 169. List the prime factors of k.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 3, 8, -5.\nAnswer: -28, -5, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*g - 267*g = -15293289. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 35*q**2 - 2. Let v(m) = m. Determine v(p(k)).\nAnswer: 35*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5590037141 to the power of 1\/3, to the nearest integer?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = -2*f. Let v(x) = x**3 - x**2 + 3*x - 2. Let b(n) = -n**3 - 4*n + 3. Let t(i) = 3*b(i) + 4*v(i). Let j be t(f). Solve -2*a = -3 + j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10059422 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 0 + 0 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -3. Suppose v*r = 16 + 28. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 2*y + 6. Let z be m(11). Find the common denominator of 103\/10 and (-2)\/(-5) - z\/(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 0.379?\nAnswer: -0.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**3 + 4330264*m**2 + 190*m - 73984 wrt m.\nAnswer: -24*m + 8660528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7524129, -7524134, -7524141, -7524150, -7524161?\n\"Answer: -v**2 - 2*v - 7524126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5001 = 15*w - 4956. Let q = -1.9 - -1.2. Let d = q + 0.4. Which is the smallest value? (a) d (b) -0.11 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1482775 divided by -52\nAnswer: -1482775\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85176101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 18*z - 826. Determine v(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.2 to the nearest integer.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 3:25 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 93090 divided by -29?\nAnswer: -3210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*f**2 + 39*f**2 - 51*f**2 + f**3 as b*f**2 + h*f + d + c*f**3 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*3\/(-192)*-2*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*n + n**3 - 3*n**3 - 1 - 38*n to the form j*n + d*n**2 + g*n**3 + b and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-41208)\/(-37774))\/(15\/(-11) + -1). Let h = 3.08 - 0.08. Which is the fourth biggest value? (a) 4 (b) v (c) 0.2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from vqqvvvqvvvqqqqvvkqq.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 553233905 and 11075?\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4163\/9 - -463. Let n = -1201.9 + 1244. Let m = 42.2 - n. Put 1\/3, m, p in ascending order.\nAnswer: m, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010239597 rounded to four decimal places?\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -8, -4, 3, -2 in descending order.\nAnswer: 3, 1, 0, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -37, -96, -197, -352, -573?\n\"Answer: -2*b**3 - 3*b**2 - 6*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 31 = 4*i, -13 = 3*s + 4*i - 6. What is the tens digit of (-4)\/(-10) - (s - 1815\/25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 greater than or equal to 167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 - 2*n**3 + n**3 + (5*n - 2*n - 4*n)*(2*n**2 + 3*n**2 - 4*n**2) - 7*n**3 - 3*n**3 + 7*n**3 in the form p*n**3 + y*n + h + s*n**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-985)\/75)\/(-1 - 25\/(-24)). Let v = 315 + w. Which is the third biggest value? (a) v (b) 0.9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 12:14 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, -2, -16, -27\/5 in decreasing order.\nAnswer: 5, -0.2, -2, -27\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -8.9, -1, -3, 1, -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 7 + 0 + 102*u to x*u + n and give x.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*a = -135*a - 21408. What are the prime factors of a?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (87 - (-72 + 55))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5265747 less than -5265740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1023 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*q + 22*q + 25. What is the tens digit of 1\/(q + 272\/54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/5005 and -74\/9625?\nAnswer: 125125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 8:56 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and -0.09991584.\nAnswer: 7.90008416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61900 divided by 6190.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + 2 + ((sqrt(1331) + 0 + sqrt(1331) + sqrt(1331))*-4 - sqrt(1331) - sqrt(1331) - (sqrt(1331) + sqrt(1331) + sqrt(1331) + -1 + -5)) + -1)**2.\nAnswer: -2244*sqrt(11) + 384697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 217245751511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 21.1, 0.2, -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -243?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -133 + 1553107?\nAnswer: 1552754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*x + x + 40, -x + 4 = 0. Let j = -9 - -6. What is the remainder when n is divided by (2\/j)\/(2\/(-63))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*r - 4*r. Let c be (-163)\/(-66) + (-4)\/(16\/10). Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0518204058 take away -0.63?\nAnswer: 0.6818204058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.2 (b) 5 (c) -4\/5 (d) 4 (e) -10\/1809 (f) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 134025?\nAnswer: -134023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 6*l + 45 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15\/22 + 2\/11. Suppose 5*o + 5*v = 10, -33*o = -29*o + v - 14. What is the closest to 0 in 0.3, o, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 13) to base 11.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*v - 824 - 616 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 > -5034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 595, 732, 973, 1330, 1815?\n\"Answer: 2*b**3 + 40*b**2 + 3*b + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.811 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*u - u. Let z(j) be the second derivative of 17*j**4\/12 + j**3\/6 - 5*j. What is the tens digit of z(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-30) - ((-5484)\/(-15))\/4. Let b = -60 - r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*x, 6*f - f + 5*x + 5 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 834 divide 65244292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270, -537, -804, -1071, -1338?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2114 + -1259. Does 30 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 5*r - 260. What is r rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 42 = -2*x, 5*n + 4*x - 59 = 8*x. Suppose 9 = n*q - 2. Is 1\/17 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -980*-4.5.\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*d**4 - 50*d**4 + 106*d**4 - 59*d**3 + 4*d as t*d**3 + r*d**2 + f*d + l*d**4 + y and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(8) + 4)*-3*-5.\nAnswer: 60 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 20*x - 2. Determine z(-10).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7380 times -0.2\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-12)\/(-11)) + (-1770)\/(-110) + -12. Solve -26*h - p*x = -21*h - 8, 2*h + 2*x = 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3665918*r**2 + 6 + 2 - 3665992*r**2)*(0*r + 4*r - 2*r) to n*r + k*r**3 + a*r**2 + p and give k.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, i: 2}. Give prob of sequence yyyi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 284083981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**2 - 5*c - 4. Suppose 3*w + 3*h - 7 = 14, -5*h + 19 = w. Let q(l) = -4*l**2 - 6*l - 5. Let i(y) = w*q(y) - 3*j(y). Determine i(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 0*i - 3*i - 8*i + 2*i. Let x(f) = -6*f**2. Give x(s(m)).\nAnswer: -486*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735*k**5 - 21385*k**4 + 75310*k**3 - 660*k**2 - 20840*k - 4000 = 0 for k.\nAnswer: -2\/7, 2\/3, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 23 = -7. Let z(a) = 0*a + 2*a - f*a. Let v(m) = 30*m + 6. Let l(x) = 605*x + 120. Let n(d) = -l(d) + 20*v(d). Calculate n(z(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 134\/139 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -70. Let k be (8\/12)\/((-2)\/3). Put k, h, 5 in increasing order.\nAnswer: k, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 21. Calculate the highest common divisor of r and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkkp when four letters picked without replacement from bkkpkbkbbkkbk?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**3 + 2 + 2 - 5 + 6 - j + 3*j**2. Let a(c) = 3*c**3 + c**2 + 2. Let l(p) = 4*p + 3. Let i be l(-3). Let h(b) = i*a(b) + 4*d(b). What is h(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7497)\/(-1250) - 3 - ((-8 - 1) + 12). Is m smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 198789638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 13*r**2 - 13*r - 17. Calculate d(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.202 - -0.201902. Round m to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1550\/3 + -515. Solve -1\/3*p**3 + 4\/3*p**2 - d*p + 2\/3 = 0 for p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 11:06 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 15, -1, -0.4, -5\/3, -3.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 3.091, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -3*w**4\/4 - 4*w**3\/3 - 16*w. What is the second derivative of l(d) wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44749 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.35 and -849.\nAnswer: 297.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 13*p - 4*p - 341*p**2 - 2*p**3 + 345*p**2 to a*p**2 + o + y*p**3 + i*p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2111120101110?\nAnswer: -2111120101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 552 - 268. Let g be 781\/22*7\/((-21)\/(-30)). What is the greatest common divisor of g and x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327680253?\nAnswer: 3, 17, 43, 49807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 - 639?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.4, 2\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36148629 less than -3?\nAnswer: 36148626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-4)*8\/10. Let p(d) = 8*d + 10. Let m be p(7). Calculate the highest common factor of m and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2709.5073 milliseconds in minutes?\nAnswer: 0.045158455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*s**3 - 9*s - 9*s**3 + 0*s**3 + 9*s**3 wrt s.\nAnswer: 90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 - 2*v**5 + 5*v**5 + (v**5 + 0*v**5 - 2*v**5)*(-3 + 1 + 6) + v**2 - v**2 + v**5 + (v + v - v)*(2*v**4 + v - v).\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -25692 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16028.3 - 16028. What is the closest to -2 in 0.5, -2, 2\/41, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 279*h**2 + 8661*h**4 - 8663*h**4 + 66*h**2. Let o(x) = -2 - x + 2. Determine o(c(d)).\nAnswer: 48*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -7 + (10 - 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -1.7, 1\/38, 10\/9 in ascending order.\nAnswer: -116, -1.7, 1\/38, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*w**4 + 2*w**3 + 212*w**2.\nAnswer: 960*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = c - 4*w, 2 + 11 = -c - w. Let p = 9 + c. Suppose 0 = -p*v + v - 52. Is 30 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1417*v**5 + 478*v**2 - 2*v.\nAnswer: 85020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/7)\/((-5)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 5)*(p**2 + 0*p**2 + 0*p**2 + (5*p - 2*p - 2*p)*(-p + 3*p + 0*p) - 28*p**2 + 21*p**2 - 37*p**2) + 3 - 3 + 2*p**2.\nAnswer: 289*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + 29 + -95 - (60 - 21)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = 3. Let k = d - -8. Find the second derivative of -1 - 3*w**k - w + 1 wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 0*u + 0*u**3 - 1\/4*u**4 - 1\/2*u**2 - 3. What is the second derivative of g(q) wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 11. Suppose 4*d + 11 - 35 = 0. Solve -p = -u + d*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 29. Let s(w) = 2278*w. What is t(s(k))?\nAnswer: 2278*k + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1117*j - j**2 + 2570*j + 1318*j)*(2*j - 2*j + j)*(0 + 0 + 2)*(2 - 2 - 1) to r + h*j**2 + i*j**3 + a*j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/3 + 3536*y\/3 - 144652\/3.\nAnswer: -4*(y - 841)*(y - 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*t = -5, 18*d = 14*d + 4*t. Let x(g) = 2*g**3 + 4*g**2 - 5*g + 1. Let a(j) = -2*j**3 - 3*j**2 + 4*j. Determine d*a(o) + 4*x(o).\nAnswer: -2*o**3 + o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 12, y: 1, g: 1}.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(77) + (2*sqrt(77) - sqrt(77))*-6)\/sqrt(7))*-1)**2*-1.\nAnswer: -279 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*-11*(-52)\/143.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 41*n**2 - 2*n + 1. Let i be q(-4). Let k be 3*i\/84 + (-2)\/(-8). Let y(g) = g**3 - 24*g**2 + g - 22. Give y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 917*u - 35364. Determine k(-37).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*p - 3 = -34, -4*p + 1 = -d. Suppose 5 = -k + d. Let x(m) = -3*m + 3. Calculate x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 5*g**2 + 5*g + 23. Let j(d) = -3*d**3 - 8*d**2 + 8*d + 34. Calculate 5*j(t) - 8*x(t).\nAnswer: t**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24671981.\nAnswer: 17, 43, 33751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*f - 34100 + f**3 + 34214 - 3*f**3 - f**2 to the form k*f**2 + s*f + l*f**3 + a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**4\/24 + s**3\/6 + 332*s**2 - 4*s. Let k(a) = 18*a**2 + 42*a + 42. Determine 126*f(p) - 3*k(p).\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, 233, 0.5, 1\/83, 0.1.\nAnswer: 1\/83, 0.1, 0.5, 190, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14880 and 30020?\nAnswer: 22334880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*q - 3*q = -10, 2*c = q + 6. What is the second derivative of -3*a**c + 11*a + 0*a - 3*a**4 - 3*a wrt a?\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 12:46 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4\/7 + 117*i**3\/7 + 3619851*i**2\/7 - 1580938677*i\/7 + 1577318712\/7 = 0. Calculate i.\nAnswer: -1256, 1, 647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000733 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 146448125?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 151531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/132 and 89\/708.\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*t + 8247 = 9667 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -446 - -450. What is the greatest common divisor of 36 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/21488 and 53\/332418?\nAnswer: 210088176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 823, -2, -0.5 in decreasing order.\nAnswer: 823, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10254 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*d + 4 - 2, 4*m - 5*d - 32 = 0. Suppose m*h - h + 2 = 0. Let f(u) be the third derivative of -u**5\/15 + u**2 - 133. Determine f(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/25*(-94)\/4)\/(149*(-278)\/(-103555)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28847 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c822c (base 13) in base 3?\nAnswer: 200022202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110848421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 5804*a**2 - 11624*a.\nAnswer: 4*a*(a - 1453)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2604.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -27, -27, -11, 27?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 129, 106, 81, 54, 25?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 2*d**2 + 2*d + 4. Let n(c) = c. What is f(u) - 2*n(u)?\nAnswer: 2*u**3 - 2*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4134.\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 51*n + 257. Determine h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.65 + 1.35. Suppose -3*m = m. Which is the nearest to m? (a) 2\/3 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -38*n + 1023. Let m be c(-42). Calculate the greatest common divisor of m and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*o - 6*o. Let m(d) be the first derivative of -6*d**2 - 230 + 14*d + 1\/4*d**4 - 3*d**3. Give m(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 e when three letters picked without replacement from {e: 3, n: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -7*a. Solve q + a*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -14 + 24*(-660)\/(-1125). Let 0 - s*h**2 + 6\/25*h = 0. Calculate h.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bba when three letters picked without replacement from {i: 3, a: 1, b: 4, h: 2, m: 7, t: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*j - 164 - 262 = -35*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06325155 to 4 dps.\nAnswer: -0.0633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (2 + (-7 - -6))) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 7:39 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 10*c**3 + 6*c**3 + 4140*c - 23*c**3.\nAnswer: -7*c**3 + 4140*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5840*a + 9188*a + 31382404 + 9459*a + 4*a**2 + 2893*a - 4972*a = 0. What is a?\nAnswer: -2801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -6. Let t = -8 + b. Solve 0 + 0*s**2 - 2\/3*s**5 + 2\/3*s**3 + t*s + 0*s**4 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -115*u**3 - 126?\nAnswer: -345*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/7 and 30\/142189.\nAnswer: 995323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + y - 8*y**2 + 5 as s*y + z + m*y**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(3*sqrt(392)) + -3 + (sqrt(5) - (sqrt(5) + 0)) + 3)**2.\nAnswer: 5\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 1\/5 (c) 4 (d) 6 (e) -391 (f) -43\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/153 and -18\/2227.\nAnswer: 20043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*f - 66*f - 54 = -126*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**4\/12 - 2983*i**2. Let f(d) = -2*d + 2087. What is w(f(o))?\nAnswer: -4*o + 4174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2550913802 - 141?\nAnswer: -2550913943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 222131906 times 4?\nAnswer: 888527624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*b - 14, i - 14 + 4 = 4*b. Find the common denominator of 85\/6 and (((-27)\/i)\/(-9))\/(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(225)\/sqrt(9)*2)\/(sqrt(80)*-5 - sqrt(5)))*-6 + 5)**2.\nAnswer: 136*sqrt(5)\/7 + 14241\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**2. Let j(m) = -3*m - 19. Determine j(x(g)).\nAnswer: 12*g**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -204, -211, -220, -231, -244?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 643076243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (45 - (26 + -30))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**3 - 18*v**2 + 84*v - 100. Factor h(n).\nAnswer: -3*(n - 2)*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67 * -40.\nAnswer: 2680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 2. Let k be p(-3). What is the units digit of (-3 + 1 - k) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1039, 1961, 2757, 3427, 3971, 4389?\nAnswer: 4681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3141 - 4320?\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -21122.278559.\nAnswer: -21122.178559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 92, 201, 342, 509, 696?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 4*f**2 + 6*f + 24. Let u be j(-5). Suppose -14 = 3*l - 20, 0 = -m - 5*l + u. Solve -3*d + p - 17 = 0, -d - 3*p = -4*p + m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v + 9. Suppose 3*k + 9 = -m, 0*k + 3*k = -2*m - 6. Let l be r(k). Suppose 4*i + 10 = -c, -c = c + 4*i + 12. Which is bigger: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.1 times -0.3?\nAnswer: -12.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -344 - -395. Is ((-8013)\/4)\/(o\/(-476)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -5.205969.\nAnswer: -0.05205969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182596, -365207, -547836, -730483, -913148, -1095831, -1278532?\nAnswer: -1461251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let g be s(-5). Suppose -2 = 2*o - f - 3, -3*o - 5*f = 5. Suppose 5*x - 12*x - 84 = o. Sort g, 1, x in descending order.\nAnswer: 1, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 283581884 to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3.87. What is g rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 62. Let j(l) = 7*l + 125. Let c(q) = 7*d(q) + 3*j(q). Let y be c(22). Sort y, -1, 0.4 in increasing order.\nAnswer: -1, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.281784 and -0.4.\nAnswer: -0.1127136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) -5\/13 (c) -6 (d) -3\/5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1441*u**4 - 2205*u.\nAnswer: -17292*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y - 346 + 1309 = -29*m - 19*y - 12*y, -5*m = -5*y + 155 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568746.\nAnswer: 2, 3, 19, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*f - 34, -5*t - 4*f = 12 - 85. Suppose -t = -4*x - q, -x - 1 = -4*q - 0. Suppose 3445 + 185 = -x*s. Round s to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73613\/1421640 + 18\/3949. What is the common denominator of -115\/12 and j?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 167327*v**3 - 330653*v**2 - 7978*v - 48. Let d(f) = 55776*f**3 - 110218*f**2 - 2660*f - 16. Let b(q) = -7*d(q) + 2*w(q). Let b(r) = 0. What is r?\nAnswer: -2\/167, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, and 1 s when three letters picked without replacement from bhhsttbqr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2211915752.\nAnswer: 2, 276489469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35669, -71144, -106425, -141512?\nAnswer: -176405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1306 + -1301. What is the closest to -0.2 in m, -0.2, -3\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5468, -5344, -5220, -5096, -4972?\nAnswer: -4848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 4*a + 17*a**2 + 24*a**2.\nAnswer: 41*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 + 0.9. Let r = c - 1.9. What is the nearest to r in -2, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -544224\nAnswer: 272112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - -354?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 12:01 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, -1359, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -844.7772 - -845. Let r = i - -0.586. Let x = -0.8 + r. Round x to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50075870 by -5.\nAnswer: 10015174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 303 - 673 = -2*i, 3*i = 5*g + 1463. Suppose -4*f - 66 = -4*h - i, 0 = 2*f + 4*h - 216. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*1\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 24 (b) -2\/17 (c) 0 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -67*i**7\/2520 + i**5 - i**4\/6 + 45*i**3\/2 - i + 13. Let z(k) be the third derivative of u(k). Differentiate z(w) wrt w.\nAnswer: -134*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18*(-11)\/((-396)\/6). Solve -4*f + l = 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/o)\/(o\/(o**(-6)\/o))*(o**(2\/7)*o)**(-38) assuming o is positive.\nAnswer: o**(-377\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + sqrt(48) + 1) + (sqrt(48) - sqrt(96)\/sqrt(2)*-6 - (sqrt(192)\/sqrt(4) + 2)))**2.\nAnswer: 2464*sqrt(3) + 6592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 + -253?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117021054.\nAnswer: 2, 3, 383, 50923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35247037.22587 + -488.77413. Let m = 35247525.79000107 + r. Let j = 0.21 + m. Round j to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 40. Let m(g) be the third derivative of 2*g**5\/5 - g**4\/12 + g**3\/2 - 2*g**2. Is m(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2. Let x(n) = 410603305*n. Calculate x(g(v)).\nAnswer: 410603305*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -89, -177, -263, -347, -429?\n\"Answer: c**2 - 91*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 12*r - 1394. Let v = r + -70. Calculate the highest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 12*f**2 - 9*f - 9. Let i be l(11). Let t be (0 - i) + (5 - 2). What is the units digit of 5\/(t\/(-4)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 (base 6) in base 7?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 g when four letters picked without replacement from iiiggigiiiiigggggig?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 11 - 1)*(2*d**2 - 2*d**2 + d**2)*(3 + d - 3)*(1 + 0 - 4).\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8*10\/640)\/((-5)\/(-10))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*d + 295 + 39 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13*k**3 - 2*k**2 + k. What is the remainder when c(1) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2324617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 1800 + 2226 = 2241 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -21*a**3 - 251*a**2 - 55*a + 175 = 0?\nAnswer: -35\/3, -1, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sshwqhwhfwsshhhf. What is prob of picking 1 q and 1 f?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -3*f - 124. Let g = 138 + f. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -38.2. Which is the third smallest value? (a) m (b) -0.04 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1621 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10\/3)\/g**(1\/4))\/(g**32\/(g*g**(4\/15))) assuming g is positive.\nAnswer: g**(-2059\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 2*l**3\/3 - 51*l. Let p(g) = g**3 + 4*g**2 + g + 2. Let v be p(-3). Does 17 divide q(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + 4. Suppose -5*f - 4 = 4*b, -f + 1 = -b + 9. Let v(w) = w - 1. Calculate f*v(a) - h(a).\nAnswer: -2*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51020891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 100026 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from wppoppwonwponndwwwno?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 6.357282?\nAnswer: -0.6357282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9040 and 518670.\nAnswer: 4149360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -120*s + 10. Suppose -5*t + 10 = -0*t. Suppose -t*c - 24 = 2*c. Let f be h(c). What is f rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302654191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, 0.3, -0.059?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 156768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 253182 (base 9) to base 14\nAnswer: 3dbc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 369071594086 and 2.\nAnswer: 369071594088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3809 and -0.1.\nAnswer: 0.2809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3397 - 3390.027. Let a = -6.9 + s. Let d = -1.073 + a. What is the closest to -1 in 2, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 32*v - 109. Let d be y(5). Calculate the highest common factor of 1027 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21881?\nAnswer: 21881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7585095 nanograms in kilograms?\nAnswer: 0.0000000000007585095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, -48, -101, -174?\n\"Answer: -10*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Suppose d - g = -0*d. Suppose d*x - 6*x + 78 = 0. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 21*d = 161. Do d and -32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.085 - 0.267\nAnswer: -0.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-29)\/29)\/((-1)\/(6\/(-1))). Let f be 0 - (g\/21 + (-122)\/14). What is the highest common divisor of 63 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2. Let o(h) = 5*h**2 + 686*h**2 + 206*h**2. Determine i(o(y)).\nAnswer: -2413827*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 32*l**2 - 28*l + 173. Let v be s(-33). Solve -v*t = 40 - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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 g(b) = -6*b**3 - 2*b - 1. Let z be g(-1). Let o be ((-8)\/10)\/(2\/10) + 0. Let t be (31 + -17)\/((-1)\/o). What is the greatest common factor of t and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 5. Let o be z(-6). Let i(g) = -43*g**3 - 2*g - 1. Let q be i(o). Suppose -191 = -5*u + q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/((-126)\/35) + -32 and -41\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6776907925?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878*q - 2720 = -708*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/3)\/((-238)\/17).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 280*p + 20. Let k(v) = 40*v + 3. Give -20*k(u) + 3*t(u).\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*b + 48 = 0, 140 + 0 = 5*t + 5*b. Suppose -t = -19*r + 8*r. Suppose 198 = 3*q + r*q. What is the greatest common factor of 231 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 2. Let f be n(-8). Let k be ((-9)\/f)\/((-15)\/(-20)). Solve 4*t - 16 - k = 2*y, -4*y = -4*t + 28 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -307 + 307.2. What is the nearest to 0.1 in -2\/3, 2, -7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.00871 + 0.11741. Let c = -0.131 + p. What is c rounded to four dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 5*s**7\/42 - 23*s**6\/120 + 137*s**4\/8 + s**3\/3 + 9*s**2 + 49. Find the second derivative of q(k) wrt k.\nAnswer: 300*k**2 - 138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/5225616 and -115\/1188.\nAnswer: 15676848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86 + 103*u**2 - 86)*(-4 + 1 + 2)*(-3 + 7 - 18) to the form v*u + j + o*u**2 and give o.\nAnswer: 1442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + 6 + (23 - (8 - 1))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 0.344 (b) 393 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -52 (b) -281 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021497731 to six dps.\nAnswer: -0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 933*3\/36*4. Suppose 81 = -5*f + s. What is f rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3939972 to four dps.\nAnswer: 0.394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1110*t - 1323. What is the thousands digit of x(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ccccgoooc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4460*u = 2*m + 4465*u - 85, 0 = m - 4*u + 68 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 194*u**7\/21 - 29*u**4\/12 - u**3 + 297*u. Find the third derivative of v(r) wrt r.\nAnswer: 23280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) 126 (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 - 79976841*g = 0 for g.\nAnswer: -26658947, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/(-8) + (-3309135)\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by 69.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123415 + -132?\nAnswer: -123551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = 20, -2*b - 44308 = -4*w. Calculate the highest common factor of 25 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 240 = -51. Suppose -14*v = -99 - w. Let d(r) = 4*r + 9. Let m(u) = -u - 2. Calculate v*m(a) + 2*d(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -18, -0.3, -9\/3043 in ascending order.\nAnswer: -18, -0.3, -9\/3043, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-1*sqrt(76) - (2 + sqrt(1539))) + 1))**2.\nAnswer: 198*sqrt(19) + 20700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 850572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 4*v, 8*v - v = -2*f + 5*v + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8234 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/408 and -43\/306.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -u + 2*b, 7*u + b - 22 = 12*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-10)*10\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2070748.\nAnswer: 1\/2070748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*d - 532*d = 6757 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -5. Let d(f) = 1. Let m(r) = 2*r - 2. Let q(a) = 3*d(a) - m(a). What is the tens digit of q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23299 + -15702. Calculate the highest common factor of 213 and k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 136*g**3 + 4*g + 2248*g**2 + 17*g**3 - 3 + 117*g**3.\nAnswer: -2*g**3 + 2248*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40877\/5388 + -3\/898. What is the common denominator of s and 17\/70?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*a - 1282 = -2598 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-16)\/(-10)*20\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/8 and -11\/126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5874 and 35689.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21396 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -497976359 divided by -1.\nAnswer: 497976359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -15.9. Which is the biggest value? (a) 3 (b) 5\/6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -2\/165*f**5 + 1\/33*f**4 + 6*f**2 + 1\/660*f**6 + 0*f + 0*f**3 + 0. Factor n(x).\nAnswer: 2*x*(x - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-433223 - 257*u**3 + 433223 + 2*u)*(u + u - u + (0*u + 4*u - 6*u)*(5 - 2 + 0)).\nAnswer: 1285*u**4 - 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -u + 8, 2*w - 37 = 6*w - 5*u. Let q = 15 + -10. Let s(f) = -f**2 - 2*f - 2. Let n(b) = 2*b**2 + 5*b + 3. Let d(l) = q*s(l) + 2*n(l). What is d(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11132 (b) 2\/21 (c) -8 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1058 and 1104.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -45. Let r = -4.85 + i. Let n = -2.38 + r. Round n to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3022\/55 + -272\/5. Which is the nearest to -7? (a) 0 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21814 and 1022?\nAnswer: 11146954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 15*d**2 + 36*d - 136. What is x(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**3 - 3*f**2 - 4. Let t(q) = q**3 - 1. Let k(g) = p(g) - 4*t(g). What is the third derivative of k(y) wrt y?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 + 10*b**2)*(-3 - 4 + 10).\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/14*112\/(-32). Find the third derivative of 0*a**3 - 1583*a**4 - 33*a**m - 21*a**2 + 3*a + 0*a**3 + 1584*a**4 wrt a.\nAnswer: -3960*a**3 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 10. Let g = 0 + -7. What is the tens digit of i(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**3\/6 + x. Let p(z) be the first derivative of 3*z**2 - 10. Calculate b(p(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2322*s**2 - 2*s + 1. Let j be t(1). Suppose 2327*z - j*z = 3240. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -1. Let g = -9 - -8.5. Let f = g + 4.5. What is the biggest value in o, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 8970*q + 8971*q + 35 = 0, -4*d - q - 15 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u - 46. Calculate o(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118 - (-13384)\/(-112))\/(10\/(-12)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 6:46 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 20*l + 40. Calculate n(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 23*v + 56 = 3*v, 10653*v + 10 = 10648*v for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 - 585225*o**2 + 3183624*o - 483*o**4 - 18608*o**3 + 2*o**5 + 0*o**5 + 0*o**5 + 45689*o**3.\nAnswer: 3*o*(o - 51)**3*(o - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oppc when four letters picked without replacement from tmpmcopmmpccm.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*1*sqrt(475) + -6*(-2*sqrt(475) - sqrt(475)) + -3 - (-3*sqrt(475)*3 + (-2 + sqrt(475))*3))**2.\nAnswer: -153909 - 540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 - 9*r + 26. Let u(b) = 3*b**2 + 8*b - 26. Give -5*j(v) - 6*u(v).\nAnswer: 2*v**2 - 3*v + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 2*n**2 + 0*n**2)*(-1 + 2 + 1) - n**2 + 2 - 2 - 3*n**2 + 6*n**2 - 15*n**2 + 0 + 2*n**2 + 0.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = u + 92, -4*s + 3*u - 6*u + 92 = 0. Suppose -z = 1 - 0, 2*a - 5*z = s. Solve 0 = -2*r + 2*h - a + 1, -4 = -5*r - h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1675 and 2479.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 869774905.8882 - 869695138. Let h = g - 79701.88819696. Let v = -66 + h. What is v rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, 0, -18, -44, -78?\n\"Answer: -4*q**2 + 2*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 4:20 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -448.1 - -0.109354359?\nAnswer: -447.990645641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000108896 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 17, l: 1}. What is prob of sequence el?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/25, 123\/11, 0?\nAnswer: 123\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250246317 to the nearest integer?\nAnswer: 15819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from xixxmxrxl?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - -19. Is 34 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -53. Let m(j) = 2*j**2 - k - 27 + 59. Let i(o) = -2*o - 4*o - 15*o. Give m(i(t)).\nAnswer: 882*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2.8, 3, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2939 divided by 4435\nAnswer: 2939\/4435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h - 18. Let r(m) = -45*m + 102. Let k(i) = -34*q(i) - 6*r(i). Let o(j) = -355*j**2 - 10*j + 2. Determine k(o(u)).\nAnswer: 710*u**2 + 20*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 8:37 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**3 + 27560*f**2 + 440504*f + 770784 = 0.\nAnswer: -13764, -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.98 + -28. What is f rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4279912 + 3?\nAnswer: 4279915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 - -35. What is the second derivative of -11*t**5 - 3*t**5 - 176*t**2 + r*t**2 + 5*t wrt t?\nAnswer: -280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 89388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = 6. Let j be (-2)\/(-7) + 328\/28. Suppose -15 = -u*m, -4*b - 2*m + 6 = -j. Solve 2*s = 10 - b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = v - 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -133, -59, 51?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 943541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.27 and 20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56128804 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -1\/7, 2\/251, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1760\/3 (b) 2\/7 (c) 124525 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10412 and 20.\nAnswer: 52060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 15)\/((-1)\/2). Let n = i - 38. Is -3 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*k - 234 = 8*k, 380 = -5*l - 3*k. Is l at most -505\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**5 - 9093215*b**4 - 5512440300150*b**3 - 1113909836325848660*b**2 - 1113904323894641720*b = 0?\nAnswer: -606214, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 544771.\nAnswer: -6\/544771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 + -139. Let p be 5*(7 - (-9)\/(-3)). Calculate the greatest common divisor of p and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9588 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 147 (c) 0 (d) -0.1 (e) -237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 6*j**2 - 4*j - 4. Determine b(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -58.83. Let l = z + -0.17. Let v = 0.7 - 1. Is l at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5319\/(-2955)*(-4*4\/(-32))\/((-1)\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13948*s + 125212. Calculate n(-9).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -66, -7, 86, 219?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1909\/1149 + 2\/383. Solve 0 - 7\/3*j**4 + 2\/3*j**2 - v*j**3 + 0*j = 0 for j.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1273200 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 5*c - 4. Let a be (-8)\/((-48)\/(-9))*(-42)\/9. Suppose -6 - 6 = -g. Suppose -15 = g*t - a*t. What is d(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.041 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from sscccrrrccr.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422 + 12 = 2*u. Suppose 12*s + 19*s = u. Solve -s*b + 13 + 8 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-6)\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 6*s. Let h be i(6). Let w = 2 - h. Suppose 0 = -3*a - 2*v + 40, -a = w*a + v - 35. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -102.3. Let k = -15 - g. Let n be 1*(1 - 4\/6). Which is the nearest to n? (a) k (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Suppose 0 = -m*n + 8 + 52. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -1 + -17 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l - l - l + 3*l - 3*l - l + l + 3*l - 2*l + (3 + 0 - 2)*(-1 + 2*l + 1) - 1 - l + 1 + 1 + 2*l - 1.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -40*b**5\/3 - 42*b**4 - 109*b**3\/3 - 12*b**2 - 4*b\/3 = 0.\nAnswer: -2, -1\/2, -2\/5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8849599763 to 2 dps.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l**3 - 55*l**3 + 7*l**3.\nAnswer: -77*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35606 and 147109?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*g + m = -3, -5*g + m + 1464 = 1491 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Suppose 6*o = d*o - 2*q + 12, q = o - 3. Suppose o*a = -j - 8, 5*j + 4 = -2*a - a. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 6:32 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -592086620?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -38325, 0, -28, -3, -4 in descending order.\nAnswer: 2, 0, -3, -4, -28, -38325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 180 = 47*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5667907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157 + 179. What is the remainder when 549 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36477 is divided by 1140.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 821 + a**2 + a**4 + 3*a - 5*a - 783 to d*a**2 + b + n*a**3 + p*a + m*a**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/3*13*(-16)\/(-12272)\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5 + -1.3. Put 0.3, 0.06, c in ascending order.\nAnswer: 0.06, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8290 + -8440.75. What is k rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 2, u: 9, b: 4}. What is prob of picking 4 b?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/9 + 234440*c**2\/9 - 13865557573*c\/9 + 4874142251062\/3.\nAnswer: -(c - 116683)**2*(c - 1074)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2 - 2)*(-12*x + 2 - 18*x + 19*x).\nAnswer: 33*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h + 1891 - 8495 = 0. Let k be 2*-1*(-1101)\/6. Suppose 4*z = -3*f + 6*z + k, -f + h = -3*z. What is the remainder when f is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3982255*h**2*k*o + 237*h**2 + 643*h*o**2 - 3*h*o + 8*k*o**2 wrt k?\nAnswer: 3982255*h**2*o + 8*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**2 + 2*p - 1. Suppose 3*t = -t + 12, -22 = 5*j - 4*t. What is a(j)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**4 + 25 - 14 - 9 + o**4 + 0*o**4 + 2*o**4 + (3*o**3 + 0*o**3 - 2*o**3)*(3 - 2*o - 3).\nAnswer: -6*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 43 - 15 = 3*d, d - 4*u = -12. Suppose -677 = -d*q + o, -q + 136 = -4*o - 52. Is q a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o - 20. Let h(n) = n - 11. Let y(i) = i - 12. Let u(c) = -5*h(c) + 4*y(c). Determine 3*k(s) + 8*u(s).\nAnswer: s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715374696.\nAnswer: 2, 3, 29807279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -237\/8 - -29. Is -2 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55036788.\nAnswer: 2, 3, 367, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - 34*d**2 - 5*d - 33. Calculate i(-17).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (9 + -2 - (1 + -3 + 9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607038 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 8*p = -133768 + 133804, -6*x = 5*p + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 9) in base 16?\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -42*j - 1015. Determine x(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 38, 0.071, 2\/91?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4*w\/(w\/(w\/w**2)))\/((w**(-1)\/w)\/w)**(-1))\/((w\/(((w**(-1)*w)\/w)\/w)*w)**(-50))**46 assuming w is positive.\nAnswer: w**9200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4278051 divided by 147519\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 15 = -l + 2*k, -4 = k. Suppose 814 = l*d - 686. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Let c be t(-3). Let i(w) = w**3 + 2*w**2 - 2*w + 1. Let n be i(c). Suppose 0 = -z - 0*z + 5. What is the greatest common factor of z and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 4:21 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301 (base 6) in base 14?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 7. Let j be d(-7). Let z(o) = -o + 1. Let f be z(-4). Find the second derivative of -i + j*i + 3*i**f + 2*i wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1828366 and -1828367 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/40*4\/((-12)\/45). Suppose 5*z - r*f - 50 = 41, -5*f = -z + 27. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*f + 81*f + 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1309680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 224075548 to the power of 1\/2, to the nearest integer?\nAnswer: 14969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 4023 + 720 = 0. What are the prime factors of n?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 45. Let f(u) = -20*u + 126. Let b be f(6). What is the highest common divisor of b and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + 229. Let u = 272 - z. Calculate the lowest common multiple of 23 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2. Let x(u) = u**3 + 2*u**2 - 5*u + 5. Let r(q) = 2*s(q) - 2*x(q). Let i be 2\/4 - 20\/(-8). Let k(m) = -2 + m + 4 - i. Determine -10*k(f) + r(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0)*6\/21. Which is the closest to -0.2? (a) t (b) -1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014570823 to the power of 1\/2, to the nearest integer?\nAnswer: 31852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*m + 30, -5*i + 3*m + 23 + 42 = 0. Suppose -60 = -3*f + 2*r, 4*f - 3*r + r - 78 = 0. Calculate the smallest common multiple of i and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0201368686 to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 74454, 148932, 223426, 297936, 372462, 447004?\n\"Answer: 8*p**2 + 74454*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1208742\/5 or -241749?\nAnswer: -1208742\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - 5*(0 + sqrt(19))) + (sqrt(1900)*-2)**2.\nAnswer: -4*sqrt(19) + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568940745 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 82 * 56\nAnswer: 4592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 34*n - 2*n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 7*m**2 - 8*m + 5. Suppose -6 = 3*r + 2*r - 4*w, 5*r - 2*w - 2 = 0. Suppose j = -r*j - 24. Is 4 a factor of v(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.1 + -10. Let l = j + 0.01. Let o = 0.11000022 - l. Round o to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*j - 6 = 180*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 907, 2672, 6167, 12256, 21803, 35672, 54727, 79832?\n\"Answer: 144*l**3 + l**2 + 754*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105154628 by 4.\nAnswer: -26288657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 7*w + 21. Let t be c(-9). Let b(m) = -m**3 - 5*m**2 - 4*m - 5. Let y be b(-4). Let d(a) = 5*a**3 - a**2 - a + 1. Let j be d(1). Sort j, t, y.\nAnswer: y, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -250.2 - -250. Let z = 1.5 - -2.5. What is the nearest to v in -2, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34400574.\nAnswer: 2, 3, 13, 147011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 4:14 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppuvug. Give prob of sequence puvp.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 700?\nAnswer: 700.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*h**4 + 313*h - 1 - 311*h - 1 + h**2 to the form x*h**3 + k + z*h**2 + o*h + n*h**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -724002*j**3*s**4 + 24*j**3*s**2 + 3*j**3*s - s**4 - 10*s**2 + 461*s wrt s?\nAnswer: -17376048*j**3*s - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*c**3*o + 12*c**3 - 54*c**2*o - 89304*c*o - o wrt c?\nAnswer: 114*c*o + 72*c - 108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*t + 31*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/43? (a) 4 (b) 6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21959, -43920, -65885, -87854, -109827?\n\"Answer: -2*v**2 - 21955*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from {i: 7, o: 9}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1485 and 18676185.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 242.7843m?\nAnswer: 242784300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2. Let j(c) be the first derivative of 0*c**2 - 35 - 1\/3*c**3 - 9*c. Determine k(j(o)).\nAnswer: 2*o**4 + 36*o**2 + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3.1, 0.8, 4, -8 in descending order.\nAnswer: 4, 0.8, -0.3, -3.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r - 134*r - 1056 - 368 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 17*y = -27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(-3753*n**4 + 8999*n**4 - 248*n**4).\nAnswer: -4998*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(802\/10827)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/2)\/((-17)\/34). Suppose -40 = -s*l + 40. Suppose -2*z - a - 2*a + 109 = 0, 197 = 4*z - a. Calculate the greatest common divisor of l and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/84 and 95\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-9) - 76\/(-18). Suppose -l*v = -v. Factor -6*m + 3 + v*m**3 + 2*m**3 + m**3 + 3*m - 3*m**2.\nAnswer: 3*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 13 (b) 1\/2 (c) -1\/61 (d) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 12210?\nAnswer: 13\/12210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*y - 0 - 2, -4*y - 4 = 0. Suppose -4*q - i + 19 = s, 4*i = 2*q - 1 + 5. Suppose -5*v - 44 = -q*o, -5*o = -2*v + 6*v - 55. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**5\/30 + 3*y**4\/2 - 11*y**2 - 111*y. Let p(u) = 14*u. What is p(s(a))?\nAnswer: 28*a**2 + 504*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1062447399?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153911*q**5 - 8*q**4 - q**2 - 6*q + 785062.\nAnswer: -3078220*q**3 - 96*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1416\/13 - 126050\/1157. Is 23 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68208 - 68208 + 1561*y**2 as j*y + i + b*y**2 and give b.\nAnswer: 1561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199045 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 241 and 2170243004?\nAnswer: 2170242763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-1)*14\/(5152\/(-138))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20997 and 4995.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -446.327091 to the nearest 10.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 150346703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + -191?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -308b (base 12) to base 3.\nAnswer: -21020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*u - 18, 2*f - 5*u = -0*f + 1. Suppose -12 = f*q - 7*q. Is -6*(-34)\/q - 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 6:06 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19342?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 703, 1, 168, 0, 2 in descending order.\nAnswer: 703, 168, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.8533 and -1\/2875 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012999 centimeters in micrometers?\nAnswer: 129.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 + 112. Let v be (-2)\/(-5) + 53\/u. What is the common denominator of (0 - (-6)\/v)*50\/18 and -1\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183020*x**3 + 589701*x?\nAnswer: 1098120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5561 - 4027\nAnswer: -9588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 13) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 10*y = 56. Do y and 49 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 3*r - 16, 11*r - 16 = 14*r + 4*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 510, 754, 1000, 1248, 1498, 1750?\nAnswer: 2004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 38 + 26 = 0. Let b(f) = 1. Let j(m) be the first derivative of -m**2\/2 + 7*m + 1. Let x(v) = 3*b(v) - j(v). Calculate x(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181030147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 658406*r**3 + 2*r - 658450*r**3.\nAnswer: -44*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 29753?\nAnswer: 59506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 579\/24 - (-23)\/(-184). Solve -4*w - 4*w = k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/1 + (-6 - -6). Solve 18*f**n - 2*f**3 - 4*f**5 - 9*f**5 - 3*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, 82, 166, 282, 430?\n\"Answer: 16*r**2 + 4*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 0*q**3 + 3 + q**3 - 5. Let i(u) = 0*u**2 + 5*u**3 - 27 + 16 + 5*u**2. Give 4*i(k) - 22*p(k).\nAnswer: -2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -2. Let p = -4 - b. What is the units digit of (-9)\/(-3) + 0 + p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -4, -31\/8, -0.3, -17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*z + 36 = 133*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1615466 (base 7) in base 4?\nAnswer: -312122003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 603 = -2*x + 5*w, 0 = 2*x + 3*w - 597. Calculate the highest common factor of 322 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5898398 divided by 2949199?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 20?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*l + 3 = 0, 0 = -a + 5*l - l + 31. Suppose -k + a = 2*k. Let x(i) = i**3 - 3*i**2 - 5*i - 4. Is x(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/51854 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, n: 2, b: 2}. Give prob of sequence nncb.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20723189 - -1.215285.\nAnswer: 20723190.215285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17*(-2 + -1 + 2). Is z at least as big as -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**4 - t**4 - 3*t**4 + (3*t - t - 4*t)*(-t**3 - 2 + 2) + 2*t**4 + 10100 + t**4 - 9804 to o*t**3 + m*t**4 + p*t**2 + d*t + c and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 840, 826, 806, 780, 748, 710?\n\"Answer: -3*d**2 - 5*d + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**9\/84 + 13*f**5\/60 + 4*f**2. Find the third derivative of b(i) wrt i.\nAnswer: 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 19*a - 11. Let s = -72 + 61. What is the least common multiple of j(s) and 4*(-2 - (-14)\/4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5267.295 times 0.1?\nAnswer: 526.7295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6, 7, -3, 3\/8, 1\/4 in descending order.\nAnswer: 7, 6, 3\/8, 1\/4, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j - 9. Let s(t) = -5*t - 8. Let b = 276 - 241. Let f(l) = l + 6. Let k be f(-3). Suppose -b = -k*m - 14. What is m*s(y) - 6*u(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1016\/13, 14, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 27*q**2 - q. Does 23 divide z(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**4 - 4*p**3 + 3*p**2 + 6*p. Let f(m) = -m**4 - m**3 + m. Let r(h) = 6*f(h) - i(h). Factor r(l).\nAnswer: l**2*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.3 + -15.1. Let i be (4\/8)\/((-2)\/20). Which is the closest to 0? (a) 0 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1.7. Let n = -15758.5 + 15852.5. Put n, o, 2 in ascending order.\nAnswer: o, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550457771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152843, 152830, 152801, 152750, 152671, 152558, 152405, 152206?\nAnswer: 151955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 226*n = 221*n - 17, 2*m - 2 = -n. Which is the closest to m? (a) 0.4 (b) 4 (c) 3 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*(-5)\/((-225)\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3754.9 - -3755. Sort -6\/5, k, -0.01, -1.\nAnswer: -6\/5, -1, -0.01, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 187162190*z**2 - 93042045*z wrt z?\nAnswer: 374324380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y + 2. What is the least common multiple of 20 and s(3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3181653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -67271, -67528, -67783, -68036, -68287, -68536, -68783?\n\"Answer: g**2 - 260*g - 67012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 480\/109 + -1922\/981. Calculate the common denominator of -19\/1194 and k.\nAnswer: 3582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115*c**4 + 83*c**4 - 39*c**4)*(2*c - 4 + 5 + 0).\nAnswer: 318*c**5 + 159*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 226 to the nearest integer.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 2. Suppose -3*k + 5 = -4. Let s be 8*1*(2 - k). Let p be (2*1)\/((-112)\/(-280)). Let j(f) = -f - 1. Determine p*t(g) + s*j(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) 0.27 (c) -3\/572 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*q = -3*y - 52, 0 = -y - 4*q + 34. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 341*g + 365*g + 3)*(4 - 6 - 6).\nAnswer: -192*g - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145 + 147. Which is the closest to 13? (a) v (b) -1\/10 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5859 times 0.4?\nAnswer: -1.03436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 86*u + 1764. Determine a(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517510482?\nAnswer: 2, 3, 86251747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122402 (base 10) to base 2.\nAnswer: 100010010000001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:02 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57946205.\nAnswer: 5, 29, 137, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 6 - (9 + -6 + 2)) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {r: 2, j: 2, g: 10}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5\/2 - 17*f**4\/2 - 45*f**3\/2 - 43*f**2\/2 - 7*f = 0.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-4)\/12*6. Let i = 4 - 7. What are the prime factors of (b - (0 + i))*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 28 = -2*s. Suppose 2*x - s = -6*d + d, 4*x - 4 = 3*d. Calculate the least common multiple of ((-369)\/(-1476))\/(47\/(-16) - -3) and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d - 7. Let k(v) = -21*v - 13. Give 6*k(n) - 11*l(n).\nAnswer: -5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 23 - (-292 - -247).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 + -72 + 111 + -25?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*h**3 + 115*h**3 + 30*h**4)*(4 + 26 - 5)*(1 - 2 - 2).\nAnswer: -2250*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 59. Solve -4*u + 3 = -5*u - f*s, -2*u = 3*s + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 3. What is the remainder when 18 is divided by c(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -265, -260, -243, -208, -149, -60, 65, 232?\n\"Answer: t**3 - 2*t - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86 and 1692.43?\nAnswer: 145548.98","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 94*f = 2915 + 281 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 6*u**2 - 4*u**2 + 90*u**2 + 99*u**2.\nAnswer: 175*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 51 + -45 + 53 + -107\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqc when three letters picked without replacement from {d: 4, h: 6, c: 3, t: 1, q: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*q = -5*a - 87*q + 19, -3*a = -4*q - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 117, 0.5, -0.2, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42451 - -25596. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18344, 36687, 55030?\nAnswer: 73373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 243, 245, 247, 249?\n\"Answer: 2*q + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100 - -10100110001100011011?\nAnswer: 10100110001101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*l - 25, -4*p + 2*p + 5 = 5*l. Suppose o + 3 = p. Suppose 0 = k - 5*k + 32. Solve o*x = -z - 4, -2*z - 3*x + k*x = -1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -144*v + 2*v**3 - v**3 + 162*v. Let g(p) = -3*p. Give g(c(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 272*p**3 - 15*p**2 + 79*p + 11. Is z(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7255 = -11*r + 16*r + 2*u, 4379 = 3*r - 4*u. What are the prime factors of r?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.059.\nAnswer: 0.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15741.372174 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 + 35*b + 57. What is the tens digit of f(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + 1*sqrt(117)))**2.\nAnswer: 300*sqrt(13) + 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*v - 33 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, h: 5, o: 2, n: 4}. Give prob of picking 1 h and 1 y.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235573451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -0.0583.\nAnswer: -0.4417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 11}. What is prob of sequence ggg?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4\/97, 2\/3, 1, -4, 0.05436?\nAnswer: 4\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 > -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - ((11 + 3 + -2 - 3) + -2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2204*d**4 + 790392*d**3 + 2970480*d**2 + 2467744*d - 658560 = 0.\nAnswer: -10290\/29, -2, 4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1226, 1221, 1190, 1121, 1002, 821, 566?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-110))\/(2\/(-10))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*k = -3*k - 30, -3*k + 33 = -4*g. Let y be g*1\/2 - 1. Let h = 23\/57 - 1483\/285. Is y != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1410143 (base 5) in base 2?\nAnswer: -111000001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-9 + 3))\/1. Suppose v = 4*j - 10 + 6. Solve -8*q = -7*q - j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from iiiiiiixiixxiiixiiii.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 = 2. Let r = 7 + t. Suppose -r*s - 265 = -4*c, -3*s + 6 = -3. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -20277?\nAnswer: -20282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.069 + 0.679. Let v = j + -0.6118. Round v to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 - 2*m**2 - 4*m**2 - 2*m**3 + 2*m. Let u be t(1). Let z be u\/(-15) - 93\/(-315). What is the third biggest value in z, 0, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*a**3*r - a**3 + 474*a**2*r - 1310*a*r - 3*a + 2*r - 2 wrt a.\nAnswer: -522*a*r - 6*a + 948*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from tttvtvvvvvvt?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + (-7)\/(7\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 19. Suppose -n*q = -2*q - 15. Solve -3 = -q*s + 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (-1*4 - -1). Suppose 2*w = 2, 0 = d - 3*d + 2*w + n. Let u(f) = 9*f + 1. Does 21 divide u(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(448)*1.\nAnswer: 3 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 322 - 280*i - 17 - 3*i**2 + 48*i**2. Let k(w) = 5*w**2 - 31*w + 34. Let h(d) = -35*k(d) + 4*l(d). Solve h(m) = 0 for m.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6415317 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 518 - 488.1. Let f = s + -33.9. What is the closest to 1 in -3, -1\/7, f?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65.5 - -65.5. What is the closest to -7\/6 in -0.09, -1, c, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 751 divide 40688047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 79?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -7 - ((11 - 17) + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101001 + -10101?\nAnswer: -1001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 118946591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 - 5*b + 503. Let g(i) = -i**2 - i + 124. Give -4*g(z) + y(z).\nAnswer: 8*z**2 - z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 4637336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 13*k + 425. Let o be h(-23). What is the highest common factor of 104 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + (8 - 6) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 765067 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -36*j**2 - 39618*j - 79237. What is w(-2)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -30. Suppose 0 = 4*l + a - 22. Sort l, 3, -8 in decreasing order.\nAnswer: l, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2) + -2)*-4.\nAnswer: -4*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*8*(-57)\/(-76). Let d be o*1\/8*36\/45. Let c = -0.03 + 0.13. What is the closest to c in d, 4, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 - -111.6. Let i = 1.666 + -1.166. Sort 2\/3, -0.06, i, p in descending order.\nAnswer: 2\/3, i, -0.06, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 22*t + 572 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 810 + 1?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(2 + -3) - 18. Let v = 49 + o. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7042 (base 9) in base 11?\nAnswer: -3954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189114 and 36?\nAnswer: 1134684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30.13 - 0.13. Which is greater: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*b + 2, -3*t - 4*b = b - 3. Suppose t = 3*g + 7. Let j = -5804 + 11611\/2. Put g, j, 0.4 in descending order.\nAnswer: j, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12495 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9331187 + 9331187 + 9610*b)*((-2*b**2 + 0*b**2 + 0*b**2)*(4*b**2 + 0*b**2 - 2*b**2) - 2*b**4 + b**4 + 2*b**4).\nAnswer: -28830*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-213822)\/(-210) - (-6)\/(-5) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1311104ml to litres.\nAnswer: 0.0001311104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 616\/(-530) + -30*14\/(-2100)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/2))\/((r*r*r**(2\/11)*r)\/r))\/((r*r\/(r\/r**(2\/3)*r)*r)\/r)**(-21)*r**(2\/9)*r**1*r*r**(-3\/5)*r*r**(2\/11)\/r assuming r is positive.\nAnswer: r**(1361\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3679540 and 6080.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34309)\/(-143474))\/(3\/(-1518)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.64 + -1766.\nAnswer: -1765.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1)\/(3 + -7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*1 + sqrt(2) + 5)*-2)**2 - (-1*(-1 + 2*sqrt(2))*-1)**2.\nAnswer: 284*sqrt(2) + 483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 192 and -1.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2. Let u(b) be the third derivative of 37*b**4\/2 - 35*b**2 + 14*b. Calculate i(u(h)).\nAnswer: 591408*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 - 328\/(-28). Let d be (w\/15)\/((-1)\/(-10)). Suppose 52 = p + 3*p - 2*c, -d = -p + 3*c. What is the lowest common multiple of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3525 and -29\/135148500.\nAnswer: 135148500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73 and -0.02.\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3672896 times -24\nAnswer: -88149504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*n**3 - 3*n**3 - 8*n**3)*(-2*n + 3*n - 2*n).\nAnswer: 33*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -632*c - 10246 + 10246 to u + i*c and give i.\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -135*y - 4160329 + 4155604 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3812, -7601, -11390, -15179?\nAnswer: -18968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1057*s - 529*s**3 + 625*s**3 + 840*s**3 wrt s?\nAnswer: 5616*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5 - 4812*b**4 - 5735662*b**3 + 127936644*b**2 - 706868569*b = 0. Calculate b.\nAnswer: -2417, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 5*v**3 + 75*v**2 + 1\/8*v**4 + 120 - v. Factor x(z).\nAnswer: 3*(z + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 74. Suppose -2*i + 2*c + 4 = -2*c, v = 5*c. Solve x + i = -3*k, -3*x + 3*k + k = -20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2270*-0.3\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -39, -92, -167, -264?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-19)\/(-114))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 45. Let a be -4 + (-14)\/(-3) - 183\/(-9). Let t be u(a). Let n be (-6)\/(-2) + (-1 - 0). Solve -t*s = 2*l, -10 - 2 = -n*l + 3*s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/(-16)*1431\/(-2597) + (-1)\/4 and 7\/20?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/7))**13*t**10*t**16*t)**(17\/4) assuming t is positive.\nAnswer: t**(1275\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i + 5*i)*(-12 - 18 - 3)*(i - 4*i + i) + (-3 + 3 + 2*i)*(2*i - 3*i + 2*i) + 0*i**2 + 4*i - i**2 + i.\nAnswer: 133*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhvuvuhhvuhvhvvu. What is prob of picking 2 h?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 750.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26837*t - 26891*t - t**5 - 3134*t**3 + 1221*t**3 + 5*t**2 + 14*t**2 wrt t?\nAnswer: -60*t**2 - 11478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 * 11691703\nAnswer: 22214235.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/16 - (-1)\/(-4). Let t = -2037\/11 - -185. Let v be ((-28)\/84)\/(2\/(-3)). Which is the closest to r? (a) 1 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -9) + (3 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**26*v\/v**(-31))\/((((v*v*v*v\/(v**(-5\/4)\/v)*v*v)\/v)\/v)\/(v*(v\/v**(-4)*v*v)\/v)))**(-19) assuming v is positive.\nAnswer: v**(-4465\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 6968960597656 and 5.\nAnswer: 6968960597661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkk. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1275 - -1278. Which is the nearest to 6? (a) -1\/6 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(1573) + sqrt(1573)) - 4*sqrt(1573)*1)**2.\nAnswer: -528*sqrt(13) + 6436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 42683*j\/3.\nAnswer: -j*(j - 42683)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/2460 and -119\/3024324?\nAnswer: 15121620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*r**4 - 36*r**3 + 12*r**2.\nAnswer: -3*r**2*(r + 2)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 867 and 58530.\nAnswer: 16915170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225\/13 - -1112\/65. Let w be (-12200)\/(-180) - (-2)\/9. Which is the third biggest value? (a) w (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 1\/36*m**4 - 2*m + 0 - 1\/3*m**2 + 1\/18*m**3. Let j(v) = 0. What is v?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose -3*r - 3*j = -102, -q*r + 2*j = -j - 63. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7784219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -280.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 10*f**2 - 6*f - 54. Calculate p(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*l - 224*l - 5*i + 14 = 0, -4*l = -3*i + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x - 7. Let y be h(8). Suppose 0 = 2*k + 1 - y. Suppose 5*s = -c - c + 72, c = 5*s - 69. Calculate the remainder when s is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39967 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -177*u**3 - 45*u**2 - 9*u + 18. Let x(d) = 89*d**3 + 20*d**2 + 4*d - 8. Determine -4*j(a) - 9*x(a).\nAnswer: -93*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6 = -1. Let v(n) = -5*n**2 + n + 1. Let s be v(p). Let y(d) = d**3 + 6*d**2 + 3*d - 7. Give y(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 22*h**2 + h - 2. Let b be s(11). Suppose 25 = 4*g + 6*r - b*r, -16 = -2*g - 2*r. Solve g = -2*m + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1868 or -9334\/5?\nAnswer: -9334\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 155536 and 0.06.\nAnswer: 9332.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 312 = 10*o. Let v be -1 - (19\/(-2)*8 - 3). What is the highest common factor of v and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11167 divided by 9?\nAnswer: -11167\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -11, -25, -41, -59, -79, -101?\n\"Answer: -d**2 - 9*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(5*18\/120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74885857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 950 - 1801. Let v be 8\/(-28) - x\/14. Let f = -49 + v. What is the common denominator of f and -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 5220 = -5*t. Suppose j - 10 - 239 = -2*m, -t = -j - 5*m. What are the prime factors of j?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 7:35 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05104 times 0.1431?\nAnswer: 0.007303824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68.6 + 66.6. Put 0.5, 0.65, f in decreasing order.\nAnswer: 0.65, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1825 by 205614.\nAnswer: -1825\/205614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**3 + 5*a**2 + 5*a. Suppose -423 = -43*u - 1326. Let m(t) = 24*t**3 + 21*t**2 + 21*t. Give u*i(o) + 5*m(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -202*r**5 - 2*r**4 - 500*r**2 wrt r?\nAnswer: -12120*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.033 + -0.033. Put -2, f, 4, -0.1 in decreasing order.\nAnswer: f, 4, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4 of a kilogram in grams?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 32 = -4*h. Let b be (9\/24)\/(4\/h). Which is smaller: 0.01 or b?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c - 2*j + 3187 = 0, 0 = -j + 5. Let s(q) = q**2 + 1055 - q - c + 5*q**2. Does 8 divide s(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hff when three letters picked without replacement from {h: 2, b: 10, f: 3}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4 + 4)*(3 - 3 + o) + 11*o**2 + 17*o**2 - 12*o**2.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47603512 divided by 8.\nAnswer: -5950439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b**2 + 8. Let u(m) = -9*m**2 - 10. Let x(v) = -6*v + 4. Let i be x(0). Let r(k) = i*u(k) + 5*t(k). Let s(c) = 10*c. Give r(s(j)).\nAnswer: 400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j - 7 + 7)*(-3 + 1 + 3) + (j + 1 - 1)*(-1 + 0 + 0) + (2 + 0 - 4)*(0 - j + 0) + j - 1 + 1 + 4*j - j - 4*j + 2*j + 0*j + 0*j as a + w*j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -260.3341 to 1 decimal place.\nAnswer: -260.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/18 - (-3)\/(-18). Is h != -14\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*f**3 - 129*f - 9\/2*f**4 - 159\/2*f**2 + 84 = 0 for f.\nAnswer: -1, 2\/3, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4731\/133 + (-4)\/7. Let x be f\/11 - (-9 + 0)\/(-3). Let t = -111\/68 + 7\/4. Which is the closest to 2? (a) t (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4993103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1 (c) -0.16 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391, 345, 285, 205, 99, -39, -215?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -31. Let c = g + -9. Let y be 0 + (c + -2)\/(-2). Let n(d) = -d**3 - 4*d**2 + 4*d - 2. Give n(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47684.\nAnswer: 2, 7, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 416735043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*t - 0*t, 0 = 3*g - 4*t - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 1. Let l be g(-3). Let n = -1 + l. Suppose -4*w + 5*p + 1 = 2*p, w + 5*p = 6. Solve -q = w + n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1967 + 1556 + 2*n + 928)*(2*n**2 - 2*n**2 + 3*n**2) as a + j*n + t*n**2 + u*n**3 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m + 2. Let l(q) = -416*q**2 + 15*q + 5. Calculate -l(g) + 2*x(g).\nAnswer: 416*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 7*t + 10. Let s(g) = 2*g - 2. Let q be s(1). Let n be -3 - (-9 - 2 - q). Let f be u(n). Solve 0 = y - f*r + 2, 0 = 5*y + 4*r + r + 25 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(700)*-1)**2 - sqrt(700).\nAnswer: -10*sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8760 = 5*d - 11*d, 4*o - 8752 = -4*d. What is the highest common factor of 78 and o?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -125 - -128. What is the derivative of 30 + 15 + 74*a**3 + 21 - 61*a**p wrt a?\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183617 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471\/(-1099) - -36*16\/462.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1, -2.\nAnswer: -5, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4277 - 35?\nAnswer: -4323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t + 2. Let u(b) = -7*b + 5. Let l(s) = -15*f(s) + 6*u(s). Suppose -2 = 2*a - 6. What is the remainder when 11 is divided by l(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 9*o - 28. Let v be m(4). Suppose 3*y = t - y - 9, 4*t = 4*y + v. Solve -2*f + 5 - 27 = 5*s, -2*s - t = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*k + 74*k + 1225. Suppose -11*d + k = -6*d. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890929?\nAnswer: 13, 19, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 6*y - 4. Let f be h(-5). Suppose 0 = -n - 2*w + 27, -4*w - 105 = -5*n + w. Suppose 4*o - 3*r - 74 = -5*r, 3*o - 5*r - n = 0. Is f > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -6, 2\/3.\nAnswer: -6, 2\/3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -628 - -640. Let q be 1\/2 - (-6)\/4. Suppose 3*t + 28 = q*v + 4*t, -2*v + d = -3*t. Solve 6*m = 2*m + v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142931253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 14*i + 5. Let b be m(-4). What is the tens digit of (171\/(-2))\/((-16)\/((-128)\/b))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -786 + 788.455. Let z = q + -2.5. What is z rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 2*k**2 - 6*k**2)*(0 + 2 - 1 + (1 + 4 - 2)*(-6 + 1 + 0))*(0 + 0 - 2).\nAnswer: -112*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.038 (b) -11 (c) -2\/21 (d) -2 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-3 + -3 + 1). Suppose -l*g = -27 - 1083. Suppose -3*u = -2*b - 0*u + 135, 0 = 3*b + 2*u - g. Calculate the greatest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-6)\/(-18)*219 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 15 = -2*q, -2*q - 5*m - 6 = q. Solve -22 + w + 2*w + 22 - q*w**2 = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftf when three letters picked without replacement from ffffffftftftfff.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(38)*2)\/(sqrt(162) + -2*sqrt(162)).\nAnswer: -10*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z + 17 = -2*f, 4*z + 5*f + 8 = 0. Suppose z*m = -m + 16. Suppose -m*l = -2*j + 4*j - 10, 4*j + 4 = 0. Is l not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -6. Let k(v) = -1 + 3*v + v**2 + q*v**2 - 1. What is k(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 337700.\nAnswer: 1\/30700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 39. Suppose -3*v + 0*v - 5*y + 25 = 0, -v + j = 4*y. Solve 0 = -5*f + 2*o - 3*o + 14, 0 = -v*f + 2*o + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -16*b - 25. Let f(d) = 16*d + 23. Let k(n) = -3*c(n) - 4*f(n). Let q be k(-2). Solve 5*y - q = 5*h, -6*y + 15 = -2*h - y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b**3 + 3*b**2 + 6*b + 4. Let r(g) = -20*g**3 + 9*g**2 + 17*g + 12. Let y(j) = -17*i(j) + 6*r(j). Calculate y(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 623312662 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 177?\nAnswer: -16f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 - (-63)\/(-35)*100\/(-15). Let s(n) be the third derivative of n**5\/60 - n**4\/3 + n**3\/2 + n**2. Let j be s(8). Solve -j = b + f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -684096, -1368234, -2052422, -2736684, -3421044, -4105526, -4790154?\n\"Answer: -4*t**3 - t**2 - 684107*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18144151 is divided by 537.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 1 - 1)*(-2 - 2*u**2 + 2) - u**3 + u - u + 6 - 10 + u**3 - 1 + (0 + 1 - 3)*(0*u**3 + 0*u**3 - u**3).\nAnswer: -2*u**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/70664 and -37\/300322?\nAnswer: 1201288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9072 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 5. Let j be (((-8)\/7)\/(-2))\/(k\/7). What is the tens digit of (-6915)\/(-30) - j\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0733*3\nAnswer: -0.2199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.06 - -1. Let q = -0.14 + t. Let w be 2\/(-14)*2\/(-1). Which is the closest to w? (a) -0.5 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 6 + 3. Let j = -9 + l. Let t be 8\/j*(-3)\/1. Solve 0 = -t*v + 4 + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132\/587 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (6 - 11 - -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002644 to four decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 33*w + 28899. Suppose -2*y = -w + 631. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -4. What is the third biggest value in 2, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/105*19\/(266\/210).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 72960690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 s when three letters picked without replacement from eonsssonsfef?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30, -30, -128, -264, -438?\n\"Answer: -19*v**2 - 3*v + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -26 + 30 + 1 + -1. Suppose d*r - 4706608 = -50306608. What is r rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-4\/3)*s*s*s\/(s\/(s*s**(-1\/6))) assuming s is positive.\nAnswer: s**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 306 (base 15) to base 6\nAnswer: 3053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14499*a + 14540*a - 29038*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 2:50 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4176 - 885*o**2 + 4176.\nAnswer: -885*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1900) + -1)*1 - sqrt(1900)) + (4 + sqrt(57)\/sqrt(3) - (3*(sqrt(19) - sqrt(76)\/sqrt(4)) - sqrt(19))) - 5*6*(2*sqrt(19) + -1 - sqrt(19))*-4)**2.\nAnswer: -28548*sqrt(19) + 296485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.7 + -6. Let m = -113\/273 - -5\/39. Let n = 13 - 13.1. What is the nearest to m in h, 5, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 4, w: 3, i: 2, j: 1, e: 4}. Give prob of picking 1 j and 1 e.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - u**2 - u + 1. Let s(j) = 2*j**3 - 2*j**2 - 2*j + 2. Determine -s(g) + 2*x(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -1, -3, 4 in descending order.\nAnswer: 4, -1, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1 (c) -2 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 299, 314, 343, 392, 467?\n\"Answer: i**3 + i**2 + 5*i + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81045?\nAnswer: 3, 5, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 6)*(-5*n + n + 2*n) - 93 + 93 - 36*n + (-2 - 2*n + 2)*(3 - 1 - 3).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-5))\/((-6)\/15). Solve 3 = -3*v, -j*s - 2 = -3*s - 3*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - 13 - -30) + (-1 - -15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14 and 75415.\nAnswer: 75401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 100, 196, 268, 310, 316?\n\"Answer: -x**3 - 6*x**2 + 121*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggg. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v = 63*v + 125. Let m be 12\/600*10*v\/(-2). What is the closest to 3 in m, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -19*g + 24*g, -2*g - 12 = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6092569 is divided by 3688.\nAnswer: 3681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*(-104)\/(-360)*-3*-5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qccccluhcdchh. What is prob of sequence hq?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u - 5. Let v(i) = i + 1. Let a(s) = -s**2 - 10*s - 1. Let w be a(-8). Determine w*v(p) + 3*k(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -76.1?\nAnswer: 30.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 9:11 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, m: 5, v: 2, c: 1, z: 2, u: 2}. What is prob of sequence unvc?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 10:48 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51295884?\nAnswer: 2, 3, 173, 24709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*v = -135, 46*v - 26*v - 18*v + 60 = 2*q - 6*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -0.4. Which is smaller: l or -2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - (52 - (-148 + 91)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 5:51 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-9) - 2\/18*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.936966nm?\nAnswer: 0.004936966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-16)*(4 - (-176)\/(-40)). Put -106, -4, q in descending order.\nAnswer: q, -4, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - f + 4*f + (-2 + 2 + f)*(-3 + 5 + 0))*(661*f**2 + 56 - 56) to w*f + v*f**3 + b + y*f**2 and give v.\nAnswer: 3966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/5 + 16\/(-5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*b**3 + 8*b**3 + 118*b**3 + (b + 4*b - 4*b)*(-34*b**2 + 69*b**2 + 28 - 37*b**2) + 5*b**3 - 2*b**3 - 4*b**3 to v*b + t + i*b**2 + g*b**3 and give g.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -158.5, 1\/8 in increasing order.\nAnswer: -158.5, -5, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1922 + -1904. What is the least common multiple of p and 118?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8690 and 842622?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**5 + 0*k**5 + 2*k**5)*(-2 + 2 + 3 + 5).\nAnswer: -16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 3)\/(1*(0 + 2)). Suppose -2*b = -192 - 144. Let q be 6\/21 - ((-393)\/b - -2). Is q not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15658972 and 45172.\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from tsrgttytsttgtrrsgy?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -494*x + x**2 + 494*x. Let i(j) = 2*j**2 - 5*j + 5. Let m(d) = 3*d**2 - 6*d + 6. Let n(g) = 6*i(g) - 5*m(g). Determine n(v(u)).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1151392 and 32.\nAnswer: 1151392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134 - 50. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-1)*(-6)\/4*(-138)\/(-3105).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -12*p**2 + 15*p + 49. Let b be s(18). Let z = -2046 - b. What are the prime factors of z?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from xincxxcxlcx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, x: 1, b: 2, y: 1, l: 10, c: 1}. Give prob of sequence cx.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9159947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-216)\/(-2025) + 0)\/(2\/20 - 0). Factor -4\/5*b**2 - o*b + 2\/15*b**4 + 2\/5*b**3 + 0.\nAnswer: 2*b*(b - 2)*(b + 1)*(b + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + c + 2*c**2 + (-5*c + 3*c + 3*c)*(-c - 6*c + 4*c) + 1 - c**2 - 1.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2277 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 635919510 to the power of 1\/3, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13028691 + 5?\nAnswer: -13028686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -11071.44766 to the nearest 100.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -5, 194358, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 5\/(20\/206)*2?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)*z*z**(-1)*z)\/((z*((z**(2\/9)\/z*z)\/z*z)\/z)\/(z\/(z*z**7))))\/((z*z**0*z*z)**32\/(z**(3\/7)\/z**(2\/11))) assuming z is positive.\nAnswer: z**(-72055\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -1819, -4, 3 in descending order.\nAnswer: 4, 3, 1, -4, -1819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3475*r + 3. Let s(c) = 112661*c. Give t(s(h)).\nAnswer: -391496975*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2506 - -5009\/2. Which is the second smallest value? (a) 1 (b) 0 (c) -5\/2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -100780, -201567, -302366, -403183, -504024, -604895, -705802, -806751?\n\"Answer: -w**3 - 100780*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 1. Let c(i) = -17 - 2 + 19 + i. Calculate c(p(b)).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83644176.\nAnswer: 2, 3, 7, 11, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 20 = 0, -f = 3*j - 7632 + 3041. List the prime factors of f.\nAnswer: 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -51*(-565)\/(-11526)*(-2)\/(-24)?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/273746 and -37\/1269186?\nAnswer: 13961046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -384 - -376. Let f(y) = y**3 + 7*y**2 - 8*y - 2. What is f(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (-13 + -404 + -14). What is the greatest common factor of 48 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254*y - 1221*y = 66 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 - 4*z + 2. Let b(v) = -4*v**2 + 2*v - 1. Let i(s) = -2*b(s) - c(s). Let l(f) = -158*f**2. What is l(i(w))?\nAnswer: -2528*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.2 - 0.8. Let m = c + 19.7. Let a be (-5)\/11 + 0 - -1. What is the smallest value in a, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102221 is divided by 33347?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1068561*z**3 - 3*z**2 - z + 28003.\nAnswer: -6411366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r + 40*r = -6*k, 2*k - 3*r = -3*r - 5*r - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7669?\nAnswer: 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*p**2 + 17965626*p - 463763288 wrt p.\nAnswer: 16*p + 17965626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69328 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - b**2 - b - 1. Let i(k) = -5*k**3 - 2*k**2 + 3. Let r(l) = 2*a(l) + i(l). Let s be r(-2). Let f = 30 + s. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*50.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((16\/1522)\/4)\/((-40)\/(-6)). Let u = f - -437557\/45660. What is the common denominator of 99\/28 and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1040 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6166970 (base 10) in base 5?\nAnswer: 3034320340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - v - 1 + 2*v - 2*v + 2*v - v - v + 0*v + (3 - 3 - 1)*(4*v - 4*v + 2*v))*(4*v - 3*v + 0*v) as x*v + p + k*v**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 754\/406 + 4408\/133\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n + 11 = w, 2*w - 64 = -5*n. Let m(g) = 13*g**2 + g - 8*g + 1 + 3*g - n*g**2. Suppose 3*v = -4 - 8. Calculate m(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 768 + 1109 - v - 1375 as c*v + a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2. Let s(n) = n**2. What is s(c(w))?\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.0106, 0.1, -2, 3\/4 in ascending order.\nAnswer: -2, -1, -0.0106, 0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z**2 - 28*z**3 + 30*z**3 + 28*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 489, 984, 1475, 1956, 2421?\n\"Answer: -l**3 + 4*l**2 + 490*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84\/17 + 307\/5219. Solve -4*k - i*t = -1, 2*k + 3*t = 66 - 67 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 2:34 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 19*d**2 - 9*d + 31. Is b(-7) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4667150.\nAnswer: 2, 5, 269, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-10 - -16)) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 + 5)\/(3\/(-129))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 20*p = 584. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 = 4. Suppose -3*p + 4*c - 1 = 0, 2*p = p - l*c - 7. Let a be (-13)\/p - (-6)\/9. Solve -2*i + a = -5*d, -d - 4*i - 4 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*a - 4 = b - 89*a, 0 = -3*b + a + 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**3 - 4*f**2 - 150*f.\nAnswer: 24*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430161.\nAnswer: 3, 143387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18259 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/50 and -11\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, e: 1, h: 1, w: 1, t: 3}. Give prob of sequence wx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45485*x**4 + 206*x**2 + 94*x**3 + 3457*x**4 - 94*x**3 - 206*x**2)*(3 - 1 + 0) to the form f*x + q*x**3 + u + w*x**4 + y*x**2 and give w.\nAnswer: -84056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 - m. Let d be w(1). Let k be 5\/((-1 - 1) + 3). Solve -i = y, -k*y = d*i - 2*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 0.2 (c) 0 (d) -1\/7 (e) 2.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/18)\/((-2)\/78)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 8*d**4 + 11*d**4 + 47*d**3 - 1 - 4*d - 51*d**3 + 2*d in the form u*d + f*d**3 + a*d**2 + p + b*d**4 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*g - 174. Let c = 46 + g. Calculate the remainder when 119 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 18 = t. Suppose -1 + t = j. Suppose -12 = 3*b, -2*p - b + j*b + 254 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 396 = -14*h + 14*h - 108 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 0*j + j + (j + 2*j - 4*j)*(0 + 2 + 0) - 3*j + 2*j + 2*j + 4*j - 2*j + 0*j + (-2 + 1 + 0)*(-1 + 1 - 5*j).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -4, 5 in decreasing order.\nAnswer: 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**12\/g*g**18)\/(g**(1\/19))**8)**(-6) assuming g is positive.\nAnswer: g**(-3258\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737100?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -1d?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -216 (base 12) to base 14.\nAnswer: -17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + -2 + 6 + 32. What is the derivative of -8 + 58*w + 9 - 52*w + l wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 12*a - 10. List the prime factors of c(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169.198 - -169. What is k rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 289963 or 290121?\nAnswer: 290121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5 = 11. Suppose -m + 5*m + f*x = 2, 5*m - 3*x = 19. Let w be (-4)\/((-4)\/(-2)) + m. Solve -k = -4 - w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1) + (-4)\/(-2). Let q be ((-24)\/9)\/((-2)\/h). Suppose q*u - 79 = -15. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.059 + -0.3089596.\nAnswer: -0.3679596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125537821967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3085, -5177, -7423, -9823, -12377?\n\"Answer: -77*i**2 - 1861*i - 1147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 49752469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -16*a. Let k(c) = c + 6681. Determine k(z(q)).\nAnswer: -16*q + 6681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*o + m + 4*m, -3*o + 2*m = -3. Let i(d) = -3*d**3 + d**2 - d - 1. Does 4 divide i(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.503 + -16.243. What is x rounded to 1 decimal place?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 944 = 1267 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -202233*w. Let p(b) = -832*b**2. Give c(p(x)).\nAnswer: 168257856*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, i: 6}. What is prob of picking 2 q and 2 i?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 j when three letters picked without replacement from {p: 7, b: 6, u: 1, j: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 771*k**2 - 63345*k + 1623177.\nAnswer: -3*(k - 103)**2*(k - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Suppose -z = g*z - 1112. Let m = 7504\/27 - z. Is m equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q. Let l(n) = 1557505*n**2. Determine g(l(z)).\nAnswer: -3115010*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) -12.9 (c) -6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.91 - 0.09. Let m(f) = -2*f**2 + 3 - 4*f**2 + 3*f**2 + 4*f**2 + 3*f. Let w be m(-2). Which is the nearest to w? (a) -0.3 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, 6, -5, -4 in decreasing order.\nAnswer: 11, 6, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 8 + 3*w**2 - w**2 - 5*w**2 + 2*w**2. Let z be y(-6). Let n(j) = -j**3 - 4*j**2 + j + 5. Determine n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g - 101. Let n be q(-37). Suppose -33 = -7*j + n. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2. Let y(r) be the third derivative of 701*r**4\/4 + 722*r**2 + 2*r + 1. What is x(y(a))?\nAnswer: -53071308*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y + 8 = 0. Solve y*v + 7 = -q, -5*v + 5*q - 18 = 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c (base 13) in base 16?\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*k - 477, 6*k + 965 = 4*w + k. Let o be ((-1)\/2)\/((-8)\/w). Solve u + 4*u + o = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1503 - 1495. Solve -6*m = -8*m + q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 257395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 - 3*q**2. Let a be i(-4). Let h = 215 - a. Suppose 99 = 4*s + 3*m, -3*s - 2*m + 4*m = -70. Calculate the remainder when h is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1968 and 906?\nAnswer: 297168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13208269.\nAnswer: 17, 47, 61, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 29*i**5\/5 + 5*i**2 - 16. What is the second derivative of o(h) wrt h?\nAnswer: 348*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i - 5*i + i**3 + (1748501*i - 4599*i**2 - 1748501*i)*(-2*i - 2*i + 6*i).\nAnswer: -9197*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-2)\/(2 - 8)). Let r = 16.8 + 3.2. Let j = r - 20.2. Which is the closest to 0? (a) j (b) 4\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqoqmkoxlkxmxk. Give prob of sequence mqk.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f + 40 = 0. Let c = 37 - 5. Calculate the highest common divisor of f and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + 21. Let b = -419881 + 419899. What is the least common multiple of w and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3515307 to the nearest integer?\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32128991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let i(c) = -4 - s + 2*c + 6 - 3. Suppose 3*l = 11 - 2. What is i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -228, -0.4, -1\/5?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5486.05 - 5486. What is the fifth smallest value in -2, 1, b, -0.22, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001239 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + p**2 - 4*p - 2. Let x(q) = 498*q**3 + 6*q**2 - 24*q - 14. Determine 6*n(s) - x(s).\nAnswer: -492*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 270 = 4*i - p, i - 103 = -4*p. Calculate the remainder when i is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266718959 take away 5?\nAnswer: -266718964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-19))**(-1\/18)\/(f*f**(1\/21)*f)**(-2\/105) assuming f is positive.\nAnswer: f**(1609\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r - 1. Let u be j(-2). Suppose 13 + u = 2*n. Calculate the remainder when 32 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -225718?\nAnswer: 22571c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -161820230 from 41.4.\nAnswer: 161820271.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7 - 11) + 0)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3413 divided by -3?\nAnswer: 3413\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/4 of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-1))\/((-20)\/8)*5. What is the closest to -2\/5 in 1\/3, -131, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4*t + 220 = 172, -9*f + 5*t + 101 = 0 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**3 + 2 - 33*j**2 + j**3 + 28*j**2 to the form n*j**3 + y + z*j + q*j**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 16 + 60. Let v be -1 + (-2)\/(t\/21). Is 1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*z + 1\/3*z**4 + z**2 + 0 - z**3 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-8 - -2)) + (9 - 10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1\/5, -178, -0.29, 3 in descending order.\nAnswer: 3, -1\/5, -0.29, -1\/3, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -3*x + 8*x. Solve g - 9 = 5*m, m - g - x = -6*g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1798*o - 774922. Calculate r(431).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4622*r**2 + 4*r + 2. Let c be z(5). Let u = 58925 + c. Let s be (-60)\/(4 + u\/14150). Round s to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2407044057?\nAnswer: 3, 11, 109, 669181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + 0.0832.\nAnswer: -59.9168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * 0.07.\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 29. List the prime factors of -1 - ((-217)\/1 - u).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from yzgztntzttytzn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 31726 and 31727 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 - 49?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*r - 0. Let t be (-30)\/(-10) - r\/(-2). Suppose 0*j + t*j = -4*p + 1354, 2*j - 6 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 + 4*q**2\/5 - 2*q - 12\/5.\nAnswer: 2*(q - 2)*(q + 1)*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10038*n*p**3 - 2*n*p**2 + n*p - 91*n - 36*p**3 - 359*p**2 + 2*p wrt p?\nAnswer: -60228*n - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 48 = -4*a. Let k be 12\/(-1)*(-8)\/a. Let h(v) = 6*v**2 + 8. Let m(t) = -239 + 238 + 4*t**2 - 5*t**2. Calculate k*m(x) + h(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 941561198?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8009321, 8009322, 8009323?\n\"Answer: a + 8009320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - sqrt(300)*2)*-2)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -36 - -31 - (-1 - (4 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 10. Let z = -38 - -33. What is w(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.2*5\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2404501 (base 6) to base 16.\nAnswer: -1ea15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13893997 and 3952?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108953259.\nAnswer: 7, 2927, 102931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 13*j**3 + (-j**2 - 2*j**2 + 5*j**2)*(-1 - 2*j + 1).\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20 + -19)*(-1)\/4. Which is the nearest to -0.1? (a) 4 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzff when four letters picked without replacement from fjjjsjfjjzsjjj.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, n: 4, d: 8}. Give prob of sequence ntdn.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 7442*f**3\/19 + 854*f**2\/19 - 5984*f\/19 - 2312\/19 = 0. What is f?\nAnswer: -34\/61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 - -1.6. What is the third biggest value in 2, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*p**3 - 1445760*p**2 - 161281*p + 3 wrt p?\nAnswer: 24*p - 2891520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 7773311.\nAnswer: 2\/7773311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16496 + 40470. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4129 - -98947\/24. Calculate the common denominator of 2\/6 + 13\/14 and p.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362 - 276 = -16*h + 157 - 91 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 569 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.35 - 0.85. Let n = -0.6 + 2.6. Put n, l, 5\/3 in ascending order.\nAnswer: l, 5\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2800674, 5601302, 8401930, 11202558?\n\"Answer: 2800628*p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 1196954196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 48 = 90. Let m = -133 + 248. What is the greatest common divisor of m and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*z - 16, -12 = -3*b - 5*z + 9. Let k = -0.099299 + 4.099299. What is the nearest to 2 in k, b, 0.01?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, i: 11, t: 1}. What is prob of sequence tlli?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*p + 11 - 3 - 8.\nAnswer: 46*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**5\/210 - 8*q**2 - 7. Let x(h) be the second derivative of t(h). Factor x(w).\nAnswer: -2*w**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -3*f - 51. Solve 8*p - f = 10*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 3:14 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 339*d**2 + 28146*d - 409. What is m(-69)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -701 < -698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-12))\/((-1)\/24). Suppose a = -2*r + 156. Suppose -2*u + 5*u = r. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 57, 99, 147, 201, 261?\n\"Answer: 3*p**2 + 33*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 77*f**2 + 10. Let l(s) = 62*s**2 + 8. Let x(r) = -5*l(r) + 4*p(r). Let h(j) = 4670*j. What is x(h(n))?\nAnswer: -43617800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1020)\/225)\/((-6)\/465). Let p = 353 - t. Factor 0 + 3*k - k**2 - 1\/3*k**4 - p*k**3.\nAnswer: -k*(k - 1)*(k + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 2, -5, -1, 83718\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3809466 is divided by 1904732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - r - 28. Calculate m(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 401.8734 meters?\nAnswer: 401873400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 78*b + 13. What is f(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (26\/(-4))\/(15\/(-10) + 1). What is the third derivative of -i*s**2 + 19*s**5 + 16*s**6 + 2*s**2 - 19*s**5 wrt s?\nAnswer: 1920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*g - 226 - 72 = 50*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2024*s**2. Let v(z) be the first derivative of -9*z**2\/2 - 3360. What is m(v(c))?\nAnswer: -163944*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, t: 4, c: 2}. What is prob of picking 4 t?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 - -78. Let h(z) = -2*z**2 - 13*z + 11. Let u be h(c). Suppose u*s - 126 = -118. Is 2\/127 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - x + 351 = 0, 4*x - 39 = -3. Let j be (-3)\/4*(-23 - 1). What is the greatest common factor of j and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Sort -1, 8436, 6, 1, 0 in ascending order.\nAnswer: -1, 0, 1, 6, 8436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 12 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 39. Let r be 2\/6*(-5)\/p*-105. Let f = 79 - r. Calculate the highest common factor of 33 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -170194, -170199, -170204, -170209, -170214?\n\"Answer: -5*z - 170189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -124 + -6?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3896 + 3875 = -3*g, 2*g - b - 12 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 0, 2*x + 0 = -5*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 10 + 4 + -17 + 22 + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105 + -4?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(75) - sqrt(75)*2) + 3 + ((sqrt(75) - (sqrt(75) - (1 + sqrt(75)))*6)**2 - sqrt(75))).\nAnswer: -228 - 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 14*n**4 - 9*n**3 - 91*n**2 + 54*n + 20. Let o(d) = 155*d**4 - 100*d**3 - 1000*d**2 + 595*d + 220. Let k(i) = 6*o(i) - 65*y(i). What is q in k(q) = 0?\nAnswer: -2, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22618654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135345\/375 - 6\/(-75).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/4, 2.8, -1\/2, -22, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**5 - 8*n**4 - 6022*n**3 - 158267*n**2 wrt n?\nAnswer: -60*n**2 - 192*n - 36132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - 3*j + 2*j)*(5 - 3 + 1 + (-7 - 3 + 1)*(-1 + 1 - 1))*(-1 - 2 + 2) to b + r*j and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*h - 214, 5*j = -5*h + 3*h + 535. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - f - 1. Let z be k(-2). Is 11 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*q + 4*m, 6 = 3*q + 2*m - 0*m. Solve 2*z = -q + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2*p**3 + p**2)*(p - p - 2*p**2) + (3*p**4 - 8 + 8)*(0 + 4*p + 0) - 50*p**5 + 21*p**5 - 2*p**5.\nAnswer: -23*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from kyyyyvvkcyuccc.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179 + 160. Let s = v + 409. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 9 = 0. Let j(q) = -i*q - 4 + 4*q + 2 - 4*q. Let b(g) = 3*g + 2 - 4*g - 3. Give 4*b(o) - j(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 83*c + 781. What is q(-27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, 8, -31, -86, -157, -244?\n\"Answer: -8*z**2 + z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3\/5 + v**2 + v\/5 - 1 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q - 325*q**2 - q - 38*q + 17*q + 6*q.\nAnswer: -325*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 24 = 5*y, 3*k - 4*y + 5 - 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 5*h**2 + 731*h - 7496. Give g(11).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/8 - (0 + -3). Let k = -3295 - -3293. Which is the fourth smallest value? (a) 2 (b) k (c) -4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(19\/5)*b)**11\/(b**(5\/3)*b**(-4\/29)\/b*b) assuming b is positive.\nAnswer: b**(22303\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6531633 + 155?\nAnswer: 6532121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)\/(j\/(j*(j\/j**1)\/j)))\/(j**1*j**(-2\/5))*(j\/(j\/(j*j\/((j**(-1)*j*j)\/j)))*j\/(j*j*j*((j\/(j**10*j))\/j)\/j*j))**(-2\/19) assuming j is positive.\nAnswer: j**(-737\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/6 and 15\/3188.\nAnswer: 9564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 4. Let v be u(2). Solve -4*y + v = 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16145 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 9*n + 1. Suppose 0 = 6*z - z + 4*i - 27, -15 = -z - 4*i. Suppose -2 - 5 = -j + z*a, -2*j + 14 = 2*a. Is u(j) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4 (b) -4\/5 (c) 0.58 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 + -8)\/((-2)\/(-6)). Sort -5, j, -2.\nAnswer: -5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 17 = -7*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.49 + 3.09. Sort 1\/3, m, 2\/17, 0.5 in ascending order.\nAnswer: 2\/17, 1\/3, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11400.325352 to the nearest 100.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1538 - -1537. Let s(n) be the second derivative of n**6\/720 + n**5\/60 - n**4\/12 + n. Let k(p) be the third derivative of s(p). What is k(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135665*b + 241*b**2 - 135665*b.\nAnswer: 241*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(3 - 4 + 3)*(6*s**4 - 15 - s**4 + 14).\nAnswer: 20*s**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 4, -3, -158 in increasing order.\nAnswer: -158, -4, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*t + 18, 0*u + 19 = 2*u - 5*t. Solve 0 = -y + u*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*m**2 + 111*m**2 + 66*m**2 - 301*m**2 + 59*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46297 is divided by 3561.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.78346 decades to centuries.\nAnswer: 9.178346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.6, 2\/9, -2, -315 in ascending order.\nAnswer: -315, -2, -0.6, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*r + 27 = -0*r, 3*r - 6 = t. Let g(j) = j**2 - 7*j + 3. Let u(q) = q**2 - 13*q + 5. Let z(b) = t*u(b) - 5*g(b). Factor z(f).\nAnswer: -2*f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*g = 1646, -4*r + 3302 = 11*g - 9*g. Calculate the remainder when r is divided by 167.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-5)*(-26)\/58500*18?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 5 (c) -0.363 (d) 4 (e) 1\/3 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 88*t + 11. Let o(c) = -31*c - 4. Let h(f) = -11*o(f) - 4*u(f). Let w(v) = v. Calculate h(w(s)).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -633 (b) -5 (c) -3.214\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3796 and -77\/260?\nAnswer: 18980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5448133 and -41.1.\nAnswer: 5448091.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:04 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*112\/(-98)*-7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**3 + 5*i + 36. Let p(a) = -4*a**3 + 2*a + 18. Determine -5*p(h) + 2*t(h).\nAnswer: 2*h**3 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 12*h + 2. Let d(y) = 6 + 39*y - 5*y - 3*y**2 - 3*y**2 + 0*y. Let v(p) = 6*d(p) - 17*f(p). Factor v(i).\nAnswer: -2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853942889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -648 + 5?\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.411 + -7.69. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 7*u + 4*u)*(-2 - 3 + 4)*(-3 + 1 + 1)*(5 + 1 - 3) as z + v*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 18134392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - (sqrt(187) - -3*sqrt(187)))*4)\/sqrt(11))**2 + 4.\nAnswer: 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 398*y**2 - 2*y - 1. What is the hundreds digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 t when three letters picked without replacement from {n: 3, s: 4, t: 2, j: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/73, 2\/15, -0.3 in ascending order.\nAnswer: -0.3, -2\/73, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11808)\/(-2624))\/((-1)\/4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -3, -12, 1148.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/6)\/((-24)\/36). Let b = 0.0271 - 5.0271. What is the closest to 22 in 0.5, b, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 27*p**2 - 40*p - 35. Let q(r) = r**3 + 10*r**2 + 19*r - 2. Let l be q(-8). What is the units digit of z(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -819998*q + 4. Let x be l(-2). What is x rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/(-235))\/((-2)\/(-350))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697925 to the power of 1\/2, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11001111012 - -2211?\nAnswer: -11001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 6*h**2 + 6. Let i = 148 + -146. Let b be (84\/70)\/(i\/10). Calculate q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79\/5 - -16. What is the common denominator of -12 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 12) to base 13.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 - (-46)\/14. Let w be 5*(c - 2) - 3. Solve s + 0 = w, 5*f + 2 = s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 33233805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-107 + 2)) + -40 + (50 - 6).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 41.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124191 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 16*h**2 + 34 + 16\/3*h**6 + 0*h + 0*h**5 + 0*h**4 + 0*h**3. What is the second derivative of g(j) wrt j?\nAnswer: 640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 17, 6 in decreasing order.\nAnswer: 40, 17, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 11696856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**4 - 3*s**4 - 2*s**4 + (-s + s - 2*s)*(65*s**2 - 30*s**3 - 65*s**2) + 55*s**3 - 21 - 56*s**3 - 3*s**4 + s**4.\nAnswer: 57*s**4 - s**3 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)*b)**21\/((b**(1\/10)\/b)\/b**4) assuming b is positive.\nAnswer: b**(343\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 10:20 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 384760*r**3 + 20786760*r**2 - 374220000*r + 2245494960.\nAnswer: -5*(r - 18)**3*(r + 77006)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + dc38f?\nAnswer: dc38f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 543682?\nAnswer: -543680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f = 8*g - 35*f + 84, -5*g = -5*f + 65 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25428 divided by -13?\nAnswer: -1956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -48 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*z + 105, 3*f - 54 = -2*z - 2*f. Suppose -z*d + 10*d = -735. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -1\/5 (c) -0.3 (d) -4 (e) -0.4 (f) 252\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**(-1\/3)*l\/(l\/l**2*l))\/(l**4*l**(-1\/5)))**(-6\/7) assuming l is positive.\nAnswer: l**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 4*k - 5*h, 3*h = 5*h + 10. List the prime factors of k*(0 + -5 + 4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 7947265.\nAnswer: -16\/7947265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 5 (c) 1\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y + 6 - 6)*(-2 - 3 + 3) + (-2*y - 4*y + 2*y)*(1 + 2 - 5).\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*o - 84 + 591 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 606 by 691.\nAnswer: 606\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108139714 by 5.\nAnswer: 108139714\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 - -17 - 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -8 - (-18)\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/6770 + -795501\/176020. Let o = l - -7\/26. Calculate the common denominator of -143\/6 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 15 = 5*w, 0 = -36*l + 32*l - 9*w - 34 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2401 - 1066. Round r to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 - 208 + 326 - 30*u**2 as v*u + o*u**2 + x and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000101 (base 2) to base 5.\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16675 + 7.0778.\nAnswer: -16667.9222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 - 30*q + 26083. Is j(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 3. Let u(o) = 7*o**3 - 8*o**2 + 3*o - 7. Let y(f) = 4*f**3 - 4*f**2 + 2*f - 4. Let l(s) = -3*u(s) + 5*y(s). Let i be l(4). Determine z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1310 + 120?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-57)\/95)\/(1\/(-5)). Let w(d) = 5*d + d - n*d. Let q(y) = 2*y**2. Give q(w(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10 = 0, 3*u - 243 - 535 = -4*c. Let s = -46 + c. Is 35 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7 = 22. Let b = -31 - -34. Sort q, 1, b in decreasing order.\nAnswer: q, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1)\/(6\/12*1). Suppose 4*o + 2 = 3*o + 3*c, -f*o - 3*c - 4 = 0. Which is greater: 1\/2 or o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - r + 980. Suppose v - r - 123 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m, 4*u + 5*m + 5 + 0 = 0. List the prime factors of -415*1*2\/u.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 11*z**2 + 15*z - 14. What is c(12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -989614 and 0.027.\nAnswer: -989613.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 353\/2471 + -1 + 459\/21. Solve -4*d = 3*l, -x*l = -3*d - 17*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853919 is divided by 8539.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88520.8 micrograms to tonnes.\nAnswer: 0.0000000885208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r - 5*n = -23, 4*r + 2*n = 20. Suppose 2*w + r*w - 15 = 0. Suppose -5*m = w*g - 65, -g = 3*g + 3*m - 83. Solve -g = 2*y + 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -788*o + 845*o + 1368 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -17 + -1 + 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 43074 = -31*d. Let n = 258593\/12 + d. Find the common denominator of 101\/8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 344322504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 6*l**2 + 2*l - 2. Let g be w(-6). Let n(d) = d**2 + 7*d - 1. Let y be n(-8). Is (-179 + 1)*y\/g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3\/5, -5 in decreasing order.\nAnswer: 12, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*h = -2*h - 17, 4*h - 16 = -5*b. Suppose 15 - 19 = -b*r. Let k(q) = -2*q**2 + q. Determine k(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01353248 rounded to four decimal places?\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*f = 33, -2*c - 4*f + 24 = -0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from shhfshh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 0.5, -16, 2\/53, -23\/13, -42?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 - 19*x**3 + 26*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -185*w + 115. Let p(b) = -93*b + 58. Let g(h) = -4*m(h) + 7*p(h). What is the derivative of g(i) wrt i?\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -353236 - -353233. Let i be (-6)\/9 + (-16)\/(-42). What is the nearest to 0.1 in o, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 2, p: 1, i: 1, l: 2, b: 1}. What is prob of picking 1 d, 1 w, 1 i, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1008)*-2)**2 + sqrt(63)\/(-1*(sqrt(9) + sqrt(18)\/sqrt(2))) - ((3*sqrt(14)*2)\/((sqrt(16)*2 + sqrt(16))\/sqrt(8)))**2.\nAnswer: -385*sqrt(7)\/2 + 4020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = -6. Let d = z + 11. Solve 3*b + d*k - 9 = 0, -2*b + 3*k + 0*k = -1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233400 - 20212?\nAnswer: 213133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**3 + 2. Let y(j) = 248*j**3 - 54*j + 16. Let s(r) = 5*f(r) - y(r). Find the second derivative of s(b) wrt b.\nAnswer: -1338*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 + -80. Let x = h + -29. Suppose 3*w + 2*g - 178 = 0, w + 5*g = 84 - x. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p**3\/11 - 12*p**2\/11 + 6*p\/11 + 12\/11 = 0. Calculate p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + ((sqrt(66) - sqrt(66)*3)*-1 - sqrt(66)))\/sqrt(6) + 1.\nAnswer: 1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -34, -1\/2, -0.0128?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzhzuzzqaamzzzz. Give prob of sequence az.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 27*w = 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -39*v + 1. Let w be u(-1). Suppose 74*s - 10728 = 9992. What is the highest common divisor of w and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19909968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -3395, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 12.5. Let i = 1.1 + a. Put i, -3, -2\/7 in ascending order.\nAnswer: -3, i, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 29 + 0 + y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 2212101211210012?\nAnswer: 2212101211210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 827*y**4 - 8*y**3 - 22*y**2 - 30*y + 27413 wrt y?\nAnswer: 9924*y**2 - 48*y - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d + 1 + 8*d + 2*d**3 - 6*d**3 - d**3 in the form i*d**2 + c*d + l*d**3 + b and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -13 + (3 - (-13 - -12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6958065591 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or 59\/27079?\nAnswer: 59\/27079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (2*sqrt(7) - sqrt(7)) + -4)**2 + -5 + (sqrt(700) - (-3*sqrt(700))**2))*6.\nAnswer: -37764 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 4*z - z)*(z**3 + z**3 + 0*z**3 - 2*z**3 + z**3 - z**3 + 3*z**3 - 2*z**3 - 2*z**3 + (0 - 2*z**2 + 0)*(z + 2*z - 5*z)).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - ((2 - 4) + 2). Let z be -1 + 2 + (-133)\/30. Let j = z + 17\/6. Which is the third biggest value? (a) 0.4 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-6)*i)\/(((i\/i**(-5)*i)\/i)\/i))**(-33\/5)\/(i**(2\/7)*i*(i*i**(-4\/7))\/i)**43 assuming i is positive.\nAnswer: i**(-1768\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 14*k**2 - 571*k - 1153. Give n(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135 + 257 + 287*a**2 - 120 to the form j + q*a**2 + m*a and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211 by 1.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3 - 20227*h**2 + 102292995*h - 102272769 = 0.\nAnswer: 1, 10113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26094.66 millilitres in litres?\nAnswer: 26.09466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4634 = 199*n - 530*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -2479a?\nAnswer: -24798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 300778103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 21. Let w(n) = -2*n**2 + 10*n + 4. Let q be w(b). Solve -3 = q*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 9) to base 3\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3\/4 (b) 2\/13 (c) -1757\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - b. Let k be h(-3). Let v(y) = y**3 + 9*y**2 + 190 - 201 - 3*y**2 - 9*y. What is the tens digit of v(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 5*p**2 + 3. Let j be m(-5). Sort -6, j, -3 in descending order.\nAnswer: j, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 + 7 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 125\/(-1)*24\/(-20). Let t = -135 + h. Sort 1, 4, t.\nAnswer: 1, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 h, and 1 t when four letters picked without replacement from qhhhhhvvthhttht.\nAnswer: 32\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25795 (b) 1\/11 (c) 3\/20 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-50)*5\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 5*u - 2. Suppose -j - 2*k - 3*k + 9 = 0, -5*j = -4*k + 42. Let q be t(j). Let d(r) = 37*r + 1. Is d(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5299156 is divided by 1766382.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -42346 divided by 91\nAnswer: -42346\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2050.3541 + -2060.36. Let l = m + 10. Round l to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8290649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from nmnmn?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, j: 2, y: 4}. What is prob of picking 1 j, 2 i, and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + (-3 - -2) + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d**3 + 36*d**3 + 8*d**3 + 93*d**3.\nAnswer: 108*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 95\/(-90) + (-3)\/3. Let w = 50\/9 + a. What is the common denominator of -43\/17 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 448?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -14\/5, 2.7, 5, -5, 25?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from qoq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 35\/2, 1\/6, 3, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/312? (a) 0.4 (b) -0.4 (c) 0.037 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 9*f**2 - 178*f - 1688. Determine s(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/((-7791)\/173628*9\/(-7))?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 46*i + 2. Let r be m(-23). Suppose -4*d + 525 + 287 = 4*c, -c = -r*d + 403. List the prime factors of d.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 11686406\nAnswer: 11686405.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1929.2 - 2021.2. Which is bigger: -43 or s?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 433*q = -428*q - 150, -p + 4*q = 45 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3\/5 - 635616*a**2\/5 - 5720252*a\/5 - 1016928 = 0. What is a?\nAnswer: -158895, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 4 + 1*sqrt(200))**2.\nAnswer: 160*sqrt(2) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/10 - 104\/(-20). Suppose 5*c - 20 = 5*r, -4*r + o*c - 20 = -2*r. Suppose 0 = w - 63 - r. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d - 17761 + 35515 - 17758. Let o(n) = -5*n - 9. Let b = 17 + -3. Give b*i(q) - 6*o(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -985*c + 989*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-3)\/8*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.046311? (a) -2\/7 (b) 11\/4 (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 63*z**2 + 67*z + 416. Determine d(-62).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -138111649000907?\nAnswer: 138111649000907.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1 (c) 1082 (d) 4 (e) 38 (f) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * -133.3.\nAnswer: -159.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 665*i + 8459. Give a(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 716913, 716902, 716891, 716880?\n\"Answer: -11*s + 716924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2411965365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/(-102) - (-115)\/30. Put -1, x, -847 in increasing order.\nAnswer: -847, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3 + (sqrt(180) + 4)*-4 - -4*sqrt(180)*-6*-6)*6)**2.\nAnswer: -786240*sqrt(5) + 127014084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 2*f - 7. Let s = 19 - 15. What is the units digit of b(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - c - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvx when three letters picked without replacement from xvxxv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - -7. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962 (base 13) in base 12?\nAnswer: 2246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/15 of a day?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 9 - 1)*(b - b + b + (-2 + 0 + 4)*(-2 + 2*b + 2)).\nAnswer: -55*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(1331) + 3) + 1 - (((sqrt(121) - (sqrt(121) + sqrt(121) + 1*sqrt(121) + sqrt(121) + sqrt(121))) + sqrt(121))*-4 - sqrt(121))\/(sqrt(396)*2).\nAnswer: 13 + 1045*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(-1 + sqrt(243)) + -4)**2.\nAnswer: -13050*sqrt(3) + 152716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 5*m + 8. Let a be ((-2)\/m)\/(15\/90). Let q = -44 - -46. Sort -9, a, q.\nAnswer: -9, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 60 + 90. Let m = z + 154\/3. Which is the closest to 0? (a) m (b) 0.9 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.19320236 and -20.17.\nAnswer: -20.36320236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*r + 13 = 0, -47*r = -5*i - 48*r - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + 0)*2\/5. Let u(t) = t**2 + 2*t - 2. What is u(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 - 7 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5969.2 and -37.28.\nAnswer: 222531.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -410.7322 to zero dps.\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2211946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 + 1)*(2*o**3 + 0*o**3 + 0*o**3) + 8*o - 8*o - 6*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Let u(d) = -12*d**2 + 5*d + 1. Let g(f) = 5*b(f) - u(f). What is the remainder when g(1) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (127 + -75 - (2 + 6)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 31. Let x = g + -34. Let a = 47 + x. Which is smaller: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3063731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256 - 259. Suppose 5*q - 6 = 3*q. What is the common denominator of -31\/22 and ((-501)\/2)\/(g + (q - 63))?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 2*s. Let q be k(2). Suppose 378 = 3*n - q*g + 3*g, -g = 3*n - 384. Suppose 123 = 2*l - n. What is the highest common divisor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -32*z**2 + 3*z + 3. Let k(y) = 13660 + 11*y**2 + y - 13661 - 2*y. Calculate -17*k(n) - 6*u(n).\nAnswer: 5*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2433 + -2410.51. Round i to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t*t)**(-1\/12)\/(t\/(t\/t**(-2\/3))*t)**(-34))**(-26) assuming t is positive.\nAnswer: t**(-871\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4554 and 11682?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14639 (base 15) to base 8\nAnswer: -177771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -32.3. Let u = 142990.5 - 142991. What is the nearest to t in 0.2, u, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(1\/10)*c)\/c))\/(c*c*c**(-6\/7)*c*c))**(-28)*(c*c*c**(3\/4))\/c**(-1\/3)*c**(-2\/7)*c*c**0*c assuming c is positive.\nAnswer: c**(28391\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-6))\/(4\/6). Suppose 0 = 2*a - 1 - h. Suppose -a*m + 0 = -18. 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 p = 6.798 - 6.788. What is the second biggest value in 2\/3, p, -9, 23?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 11736104*z + 8608508568676.\nAnswer: 4*(z - 1467013)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -183137 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11130230 + -3112133?\nAnswer: 2012031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11376\/(-522) + 366\/(-1769)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 31 = -4*t, -7*t + 8*t + 3*k - 19 = 0. Solve 2*a - t = -y, -6 = 2*y - a - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36607737 to the nearest integer?\nAnswer: 6050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70222*n**3*p - 895*n**2 + 40*p wrt n.\nAnswer: -421332*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + u + 37, x - 5 = -3*u - u. Let w be 6\/9 - (-21)\/x. Differentiate -4 - 2 + w - d**3 - 4*d**3 wrt d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4193*o**2 - 439*o - 8386*o**2 - 1 + 4194*o**2.\nAnswer: o**2 - 439*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 6)*(-3 + 3 + 2) + (2 - 1 - 3)*(-3 + 2 + 0) + 3 - 3 - 2 - 4 - 1 + 2 + 4 - 1 - 5)*(-2*t**4 - 7*t**4 - 9*t**4).\nAnswer: 342*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 3103296588 and 12.\nAnswer: 3103296600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/6)\/(k**(1\/6)*k)*k\/(k*k**(2\/9))*k*k**(-5\/6) assuming k is positive.\nAnswer: k**(-19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from {v: 6, d: 1, n: 4, y: 1, b: 4, r: 3}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 99906, 199806, 299732, 399702, 499734, 599846?\n\"Answer: 3*i**3 - 5*i**2 + 99894*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-3 - (67 + 2)). Let s be (10\/(-6))\/(9\/(-27)). Suppose 5*m - s*n + 4 = t, -m - 4*n + 4 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 8:30 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31034, -31062, -31092, -31124, -31158?\nAnswer: -31194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1415000 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**3*f**2*n**2 + 14*c**3*f - c**3 + c**2*f**2 + c**2 + 360*c*n**2 + 3*f**2 wrt c?\nAnswer: -54*f**2*n**2 + 84*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - 2*b - b + (2 - 3 - 1 + (2 + 3 - 3)*(-2 - 4 + 7) + 1 - 2 - 1)*(129*b + 245*b - 372*b - 116).\nAnswer: -6*b + 232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/13 + 792*h**4\/13 + 101228*h**3\/13 + 4518360*h**2\/13 + 65094050*h\/13 = 0. Calculate h.\nAnswer: -163, -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s + s - 2*s - s + 9*s + 0*s - 7*s + s + 3*s + (0 - 3 + 2)*(-s + 4*s - 4*s) - s + 3*s - 4*s to the form g*s + m and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**2. Let h(x) be the second derivative of x**3\/2 - 37*x. What is y(h(d))?\nAnswer: 63*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/3 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 534721722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(4 + 0 + 8)*(-3 + 2*l + 3)*(-2*l**3 + 3*l**2 - 3*l**2).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -333020033 (base 5) in base 12?\nAnswer: -5a17b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.281 + -0.119. Sort u, -7, -2.\nAnswer: -7, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/41))\/s**(-32))\/(s**(-8\/3)\/(s**(2\/19)*s)) assuming s is positive.\nAnswer: s**(85822\/2337)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*c + 14*c - 8*c + 11*c)*(2 + 2 - 5) - 2*c + 2*c - c - 12*c + c + 4*c to t*c + o and give t.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 4616\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 8. Let t be f(9). Let a(g) = -3*g - 15. Let p be a(t). Solve -q - 2*q = -p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 3)*(-20)\/(-8). Sort -24, 2, l, 3 in ascending order.\nAnswer: -24, l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(42)\/sqrt(2)*-2*-4)\/((-2*sqrt(450) + sqrt(450))\/(sqrt(96)*4)).\nAnswer: -384*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1808075110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**6*x + 8*v**4*x**2 + 2*v**2*x**2 + v*x**2 - x**2 wrt v?\nAnswer: 480*v**3*x + 192*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105770119 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -q + 1, 0 = 2*k - 4*q + 3*q - 11. Solve -3*b - k = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217382 - -1.14.\nAnswer: -217380.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*m - 65*m + 106*m + 97)*(2*m + 1 - 1).\nAnswer: -6*m**2 + 194*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + 0 - (-3116 + 3180).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12662 + -8181. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-7 - (-1 + -2))) + -1 + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d + 5. Let y(u) = 346*u + 1. Determine h(y(q)).\nAnswer: 1730*q + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, w: 9}. What is prob of picking 2 n and 1 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010000111100111 (base 2) in base 8?\nAnswer: -1020747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - d95767?\nAnswer: -d95765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 0*x**2 + 0*x**2)*(-10 + 10 - 5*x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 0*q**2 - q + 25\/6*q**3 - 4. What is k(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -454, -861, -1268, -1675?\n\"Answer: -407*h - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i + 3. Let c(t) = 2*t - 1. Let j(q) = -4*a(q) - 18*c(q). Let s(f) = -2*f. Calculate s(j(g)).\nAnswer: 8*g - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 3:46 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3000 divided by 1000.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -165, -166, -167, -168, -169?\n\"Answer: -p - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378068 is divided by 3229?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1842\/2456*38\/(-6)*4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v, 3 = 4*j - v - 29. Suppose 36 = 2*x - 4*z, -2*x + z - 41 = -4*x. Calculate the least common multiple of j and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 24. Suppose q - a = -3*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18541432?\nAnswer: 2, 7, 13, 25469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k*k**(2\/3)\/k))**(-26)*(k*k**(1\/2))**2 assuming k is positive.\nAnswer: k**(-173\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/9 in 0.7, 3, -0.68, -124?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66280*c**2 + 76947 wrt c?\nAnswer: -132560*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 54*u**2 - 4*u - 4. What is the tens digit of y(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 - q**2 + q + 4. Let g be k(3). Suppose 4*h - g = 120. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 106398*h*t**2 + 5672*t**2 wrt h.\nAnswer: 106398*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3941.\nAnswer: 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n + 8*n**2 + 2 - n**3 - 3*n**2 + 0*n**3. Let j(i) = -2*i - 4. Let l be j(-5). Suppose -l*b + 20 = -2*b. Calculate v(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*t = -3*y - 3, 3*y - 24 = -3*t. Find the first derivative of -3*s**3 - 18 - 3*s**3 + s**y + 2 wrt s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 u when four letters picked without replacement from {u: 2, q: 16}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -334, -329, -314, -283, -230, -149?\n\"Answer: x**3 - x**2 + x - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36212146 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*g - 14, -2*g + 0 - 3 = -3*y. Let j = y + 2. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - 1 + 1)*(6*d + 17*d + 69*d) in the form o*d**2 + k + f*d and give o.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 3*p - 4*t, 4*p + 12*t = 9*t + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -25*d + 25, 343*y - 1 = 344*y - d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -94 - 0?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnhchccechzggg. Give prob of sequence cghh.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 49.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -9*y**5\/20 + y**4\/6 + y**3\/2 + 3*y**2\/2 - 2*y. Let j = 1 - 3. Is z(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-28)*-1 - 134402\/7. What is j rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 8, 0, -1\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m + 4, 2*a - 3*m = 6. Let o = 0 - -2. Let s(q) = 5*q + 1 - q**2 + q + o. What is s(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 836 + -836. Suppose v - 2 = -1. Solve p*m = m + v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*x - 4, -3*r + 2*x + 0 = -4. Let j(z) = 2*z**2 - z. Let p be j(-1). Suppose 20 = 8*t - p*t. Solve t*i - 8 = r, i - 5 - 5 = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.90855 and 79.\nAnswer: 74.09145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1285 + 8.795.\nAnswer: -1276.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -6. Let y = -2 + 7. What is the remainder when s is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4*0*-1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)\/j*j)\/(j*j**(-1)))\/((j\/(((j\/j**(-3))\/j*j)\/j*j)*j*j*j*j*j*j)\/(j*j\/j**(2\/3)*j)) assuming j is positive.\nAnswer: j**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 8)*(0*u**2 - u**2 - u**2) + 2*u - 2*u + 5*u**2 + 3*u**2 + 0*u**2 - u**2 as n*u + y + i*u**2 and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1102 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106.2 + -243. Let b = 137.3 + s. Let c = -2 - -1.8. What is the fourth smallest value in -15, 2\/7, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 735.72 + -1182.93. Let c = -445 - y. Round c to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 283 = 4*a. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 times -0.3\nAnswer: 28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 515803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 21 - 12)*(-2 + 2*m**2 + 2) + 2*m**2 + m - 3*m**2 + 2*m**2.\nAnswer: -81*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/60 + (-94)\/(-30). Suppose -h*t = 5*w + 1, 4*t + 0*t + 2*w = 8. Solve v + t = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 - 4*r**3 + 38*r**3.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - ((-6 - -6) + -10)) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 28*h**2 - 200*h + 29. What is k(13)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/461414 and 64\/85.\nAnswer: 2307070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1039\/2948 + -3\/268. Let b(g) be the third derivative of -g**6\/120 - g**5\/20 - g**4\/6 - 5*g**3\/6 + 34*g**2. Let q be b(-2). Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + 21 + -46 - -14.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -14*n + 457. Let p = -189 - -189. What is the tens digit of x(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from uofflofuuffjw.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l - 3*l + 5*l)*(19 + 20 - 78 + 9).\nAnswer: 90*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 6. Let t be w(12). Let k(x) = x**3 + 7*x**2 + 5*x - 4. Let i be k(t). Let b be 3 + i\/4*0. Solve -v + 16 = b*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3) + (-128)\/(-12))*(8 - 9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -8 - 12. Suppose -3*o + 1 = w + 6, -25 = -q*w + 3*o. What is the derivative of w*a - 2 + 0 - 2*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 25*m - 41. Let p be 18\/135 + (-3)\/((-90)\/(-664)). Let q be n(p). Solve w + q = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99496 divided by 2\nAnswer: 49748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1487, -1504, -1555, -1658, -1831?\n\"Answer: -3*w**3 + w**2 + w - 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*m**4 - 31*m**4 + 11*m + 17*m**4 + 10*m**3 - 3 - 3*m + 2*m**3 to f*m**3 + y*m**4 + j*m**2 + w + p*m and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(0*g**3 - 4*g**3 + 2*g**3) + 4*g**2 + 276*g**3 - 13*g**3 - 2*g**2 to the form j*g**2 + p + x*g + a*g**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 1:22 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 11*n - 6*n. Suppose -3*d = -13 + n. Let f(t) = 2*t**2 - d*t**2 + t - t. Let l(a) = 24*a. What is l(f(y))?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/((-6916)\/(-1820))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*j + 66, 2*i + 225 = 5*j - 3*i. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 429595415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9891 - 9902. Let t = 0 + 0. Which is the closest to -2\/3? (a) t (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -3*s**2 - 36*s + 5. Is r(-14) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}